Geometry parallel lines proofs worksheet

These worksheets help students learn the converse of the parallel lines as well. Benefits of Proving Lines Parallel Worksheets. Proving lines parallel worksheets are a great resource for students to practice a large variety of parallel lines questions and problems. These math worksheets are supported by visuals which help students get a crystal ...

Geometry parallel lines proofs worksheet. Mathster keyboard_arrow_up. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Worksheet Name. 1. 2. 3. Graphs - Parallel Lines. 1.

There are several angle relationships of which students should be aware. Complementary angles are two angles that together form a 90 degree angle; supplementary angles are two angles that together form a 180 degree angle; and explementary angles are two angles that together form a 360 degree angle.Vertical angles are found at line intersections; angles …

Quiz & Worksheet Goals. To demonstrate your competence of parallel lines, you will be quizzed on the following: Angles (corresponding, supplementary, alternate interior, and alternate exterior ...Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent ... Geometry Applications : EXAMPLE: Ifquadfi1atera1PLAY has angles P: 59 degrees L: 37 degrees A: 143 degrees Y: 121 degrees Which sides are parallel? Sketch the figure.Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent. When the givens inform you that two lines are parallel. 9. 3rd angle theorem. If 2 angles of a triangle are to 2 angles of another triangle, then the 3rd angles are . 5. Definition of a segment bisector.5.5. Introduction to Proofs • Activity Builder by Desmos Classroom ... Loading... Section 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;

If two lines are perpendicular to the same line, they are parallel to each other and will never intersect. Advertisement Welders and carpenters use all sorts of tools to set things...Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent. When the givens inform you that two lines are parallel. 9. 3rd angle theorem. If 2 angles of a triangle are to 2 angles of another triangle, then the 3rd angles are . 5. Definition of a segment bisector.136 Chapter 3 Parallel and Perpendicular Lines Proving Theorems about Parallel Lines EXAMPLE 2 oving the Alternate Pr Interior Angles Converse Prove that if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. SOLUTION Given ∠4 ≅ ∠5 Prove g h STATEMENTS REASONS 1. ∠4 ≅ 5 1 ...25) Fill in the blank so that the lines are not parallel: Line A goes through Line B goes through----- -----( , ) and ( , ) ( , ) and ( , ) Anything but 26) Write the equations of five lines that are parallel to y x Many answers. Ex: y x -2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.comPrinter marks are the lines that appear in the corner or sides of documents. Print shops use these marks to make sure different color proofs are properly lined up and to indicate w...If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. If two angles are supplementary to the same angle or to congruent angles, then they are congruent.Unit test. Test your understanding of Congruence with these NaN questions. Start test. Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.

Imho the videos (actually there are more of them but they all resort to the same reasoning) about transversals and the ones about the sum of the angles inside a triangle are not consistent because they are circular reasoning : the "sum of angles in a triangle" starts from alleged proof of "angles in parallel lines and transversals", while these video's don't prove anything (it's taken for ... Honors Geometry Parallel Lines cut by a Transversal Questions 1-6, use Figure 1. Assume ‖ and ‖ 1. What is the name for the angle pair 2 and 14. 2. What is the name for the angle pair 6 and 7 3. Name all angles congruent to 4 4. Name all angles supplementary to 6 5. If 16 = 50, then 14= ____ and 2 = _____Proofs involving parallel lines I. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more.The converse in geometry applies to a conditional statement. In a conditional statement, the words “if” and “then” are used to show assumptions and conclusions that are to be arriv... Section 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;

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25) Fill in the blank so that the lines are not parallel: Line A goes through Line B goes through----- -----( , ) and ( , ) ( , ) and ( , ) Anything but 26) Write the equations of five lines that are parallel to y x Many answers. Ex: y x -2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.comGeometry Proofs. For Students 10th. In this geometry proofs worksheet, 10th graders solve and complete 6 different problems that include various proofs. First, they prove a triangle has equivalent angles as given. Then, students prove …Displaying all worksheets related to - Parallel Line Proofs. Worksheets are Parallel lines, Using parallel lines in proofs, Honors geometry chapter 3 proofs involving parallel and, Work section 3 2 angles and parallel lines, Chapter 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Geometry proofs and postulates work, Geometry chapter 2 reasoning and proof. Proving Lines Parallel 134 Chapter 3 Parallel and Perpendicular Lines page 30 and Lesson 2-1 Algebra Solve each equation. 1. 2x +5 =27 11 2. 8a-12 =20 4 3. x-30 +4x +80 =180 26 4. 9x-7 =3x +29 6 Write the converse of each conditional statement. Determine the truth value of the converse. 5–6. See back of book. 5. If a triangle is a right ...

3 Parallel and Perpendicular Lines 3.1 Pairs of Lines and Angles 3.2 Parallel Lines and Transversals 3.3 Proofs with Parallel Lines 3.4 Proofs with Perpendicular Lines 3.5 Equations of Parallel and Perpendicular Lines Tree House (p. 130) Kiteboarding (p. 143) Crosswalk (p. 154) Bike Path (p. 161) Gymnastics (p. 130) Bike Path (p. 161) Kiteboarding3. Parallel Lines can be a lifesaver. This is an old trick that you would be familiar with as well. Any parallel lines in the proof’s diagram mean that you would use one of the parallel-line theorems. Pass on this wisdom to help your children solve geometry proofs given in the geometry proofs list. 4. If-then logic is always gold Proving Lines Parallel Vertical angles are . NMP QPR QPR PRQ NMP Transitive Property of Congruence PRQ If 2 lines are cut by a transversal such that alt. int. ’s are , the lines are ǁ. m C + m D = 180° If 2 lines are cut by a transversal such that cons. int. ’s are supp., the lines are ǁ. Unit test. Test your understanding of Congruence with these NaN questions. Start test. Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms. 3.3 Prove Lines are Parallel FCA 5 #1-11 Hw: Proving Lines Parallel Worksheet Extra Practice 3.3 Proving Lines Parallel 3.3 Prove Lines are Parallel FCA 6 ALL Hw: p 151 # 41* (use paragraph form), pp 160 - 161 # 31*, 36, 37 **You will be turning in # 41, 31** FCA 3.3 Prove Lines are Parallel ALL 7 Extra Proof PracticeTHE (ULTIMATE) GEOMETRY REVIEW SHEET...WITH COMMON CORE GOODNESS. (2016 Edition) Some General Information. The Common Core Regents Exam Basics: Time: 3 hours Problems: 36. Part I: 24 multiple choice problems (2 pts each) = 48 pts Part II: 7 short answer problems (2 pts each) = 14 pts Part III: 3 short answer problems (4 pts each) = 12 pts Part ...In geometry, dilation is the resizing of an object. With dilation, the angles remain the same, but the distance between points increases or decreases by a common scale factor. In d... This free geometry worksheet requires the use of the properties of parallel lines including the Alternate Interior Angle Theorem, Corresponding Angles Theorem, and the Same-Side Interior Angle Theorem and their converses. Problems include the completion proofs and finding the values of missing angles to make a pair of lines parallel. To prove ... Mac: Parallels, the popular Mac software that allows you to run Windows in a virtual environment on your Mac, has released an update that brings in support for Windows 10. Mac: Par... Title: geo_3.3_proofs0001.pdf Author: JBRESLOW Created Date: 10/21/2014 1:41:45 PM

Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent ... Geometry Applications : EXAMPLE: Ifquadfi1atera1PLAY has angles P: 59 degrees L: 37 degrees A: 143 degrees Y: 121 degrees Which sides are parallel? Sketch the figure.

Download Parallel and Perpendicular Lines Worksheet PDFs. These worksheets are free to download PDFs for students to practice conveniently as and when they want. Parallel and Perpendicular Lines Worksheet - 1. Download PDF. Parallel and Perpendicular Lines Worksheet - 2. Download PDF. Parallel and Perpendicular Lines Worksheet - 3. Download PDF.1) Yes SAMPLE EXPLANATION: If 2 sides of a quadrilateral are parallel and congruent, the quadrilateral is a parallelogram. 2) No SAMPLE EXPLANATION: The opposite sides must be congruent. 3) No SAMPLE EXPLANATION: Without more information, it could be a trapezoid. 4) Yes SAMPLE EXPLANATION: If the diagonals of a quadrilateral bisect … Triangle And Parallel Lines. Displaying all worksheets related to - Triangle And Parallel Lines. Worksheets are 7 proportional parts in triangles and parallel lines, Name geometry unit 2 note packet triangle proofs, Geometry part 1 lines and angles, Ms work 132 153 geometry 06, Parallel lines parallel, Proving lines parallel, Parallel ... Pre-made digital activities. Add highlights, virtual manipulatives, and more.In geometry, dilation is the resizing of an object. With dilation, the angles remain the same, but the distance between points increases or decreases by a common scale factor. In d...Give a reason for your answer. [2 marks] Level 1-3 GCSE KS3 AQA Edexcel OCR WJEC Cambridge iGCSE Edexcel iGCSE. Question 2: A, B, C and D are points around a circle. Find the value of x. [2 marks] Level 1-3 GCSE KS3 AQA Edexcel OCR WJEC Cambridge iGCSE Edexcel iGCSE. Question 3: DEF is an isosceles triangle. Find the value of y.Parallel Lines Cut by a Transversal. Recall that parallel lines have the same slope (rate of change) and will never intersect each other. So when a transversal cuts through any set of parallel lines it forms sets of congruent angles and supplementary angles. If you think of it as one parallel line is the exact copy of the other, it make since ... Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent 4) Transitive property 5) If base angles are congruent, then triangle is isosceles AEK BED 1) 2) 5) ABE is isosceles BED EBA BAE BAE or Recognizing the altemate interior angles... Example: Given: Prove: Circle E Section 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;

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Since the release of Windows 7 last week, we've already seen a VMWare Fusion update that runs Windows apps inside OS X with full Aero graphical support. Now Parallels is going head...Geometry: Home List of Lessons Semester 1 > > > > > > Semester 2 > > > > > > Teacher Resources FlippedMath.com Section 3.4 Parallel Lines and Triangles ... Section 3.4 Parallel Lines and Triangles Need a tutor? Click this link and get your first session free! Packet. g_3.4_packet.pdf: File Size: 184 kb: File Type: pdf:Geometry Worksheet - Proofs Worksheet Proving Lines Parallel by Word of Math. 2 Ratings. View Preview. Grade Levels. 7th - 10th. Subjects. Math, Geometry. Resource …Corresponding angles are easy to find once you know what to look for. Advertisement Geometry is packed with terminology that precisely describes the way various points, lines, surf...Lines parallel perpendicular intersecting worksheets type sheet answer mathworksheets4kids mcqWorksheet parallel lines transversal worksheets answers angles cut geometry transversals key cpctc proofs perpendicular formed guo ning triangle congruence elegant Lines parallel worksheet proving answers unit lesson math … This module deals with parallel, perpendicular and intersecting lines. A variety of pdf exercises and word problems will help improve the skills of students in grade 3 through grade 8 to identify and differentiate between parallel, perpendicular and intersecting lines. Some of them are absolutely free of cost! Jump to a specific example. Yannick Scarff View bio. How to Solve Proofs Involving Parallel Lines. Step 1: Read through the steps of the proof, making note of the given … Infinite Geometry. Infinite Algebra 2. Infinite Precalculus. Infinite Calculus. Buy Online Purchase Orders Renewals. ... Free Worksheets Infinite ... Displaying all worksheets related to - Parallel Line Proofs. Worksheets are Parallel lines, Using parallel lines in proofs, Honors geometry chapter 3 proofs involving parallel and, Work section 3 2 angles and parallel lines, Chapter 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Geometry proofs and postulates work, …Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a transversal, through a pair o...The corresponding angles postulate states that parallel lines cut by a transversal yield congruent corresponding angles. We want the converse of that, or the same idea the other way around: If a transversal cuts across two lines to form two congruent, corresponding angles, then the two lines are parallel. To know if we have … ….

3.3 Prove Lines are Parallel FCA 5 #1-11 Hw: Proving Lines Parallel Worksheet Extra Practice 3.3 Proving Lines Parallel 3.3 Prove Lines are Parallel FCA 6 ALL Hw: p 151 # 41* (use paragraph form), pp 160 - 161 # 31*, 36, 37 **You will be turning in # 41, 31** FCA 3.3 Prove Lines are Parallel ALL 7 Extra Proof Practice STANDARD G.CO.C.9. GEO. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.3 Parallel and Perpendicular Lines 3.1 Pairs of Lines and Angles 3.2 Parallel Lines and Transversals 3.3 Proofs with Parallel Lines 3.4 Proofs with Perpendicular Lines 3.5 Equations of Parallel and Perpendicular Lines Tree House (p. 130) Kiteboarding (p. 143) Crosswalk (p. 154) Bike Path (p. 161) Gymnastics (p. 130) Bike Path (p. 161) KiteboardingIntroduction to Geometry Proofs • Activity Builder by Desmos Classroom. Loading... An Introduction to Geometric Proofs, 5 questions that go from dragging reasoning only to dragging both statements and reasoning. Self-checking via conditional statements so an image will appear only if they have completed the entire proof correctly.Pairs of Angles. When parallel lines get crossed by another line (which is called a Transversal ), you can see that many angles are the same, as in this example: These angles can be made into pairs of angles which have special names. Click on each name to see it highlighted: Now play with it here. Try dragging the points, and choosing different ...Parallel lines and transversals. Proving lines parallel. Points in the coordinate plane. The Midpoint Formula. The Distance Formula. Parallel lines in the coordinate plane. …Notes: PROOFS OF PARALLEL LINES Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 164 EXAMPLE 2: Given: r ‖s m ‖ l Prove: m 5 + m 11 = 180° Fill in any missing statements or reasons to complete the proof. Statements Reasons 1. 1. Given 2. 5 & 9 are supplementary. 2. 3. 3. Definition of supplementary angles 4. 4. 5. 5.Since the release of Windows 7 last week, we've already seen a VMWare Fusion update that runs Windows apps inside OS X with full Aero graphical support. Now Parallels is going head...1.8 Parallel Lines and Proofs quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Worksheet Save Share. Copy and Edit. Mathematics. 9th - 12th grade. 1.8 Parallel Lines and Proofs. Madelynn Quinn. 9 . plays. 10 questions. Copy & Edit. Geometry parallel lines proofs worksheet, Infinite Geometry covers all typical Geometry material, beginning with a review of important Algebra 1 concepts and going through transformations. There are over 85 topics in all, from multi-step equations to constructions. Suitable for any class with geometry content. Designed for all levels of learners, from remedial to advanced. Topics. , Name: Level 2 Further Maths Ensure you have: Pencil or pen Guidance 1. Read each question carefully before you begin answering it. 2. Check your answers seem right., Line a is parallel to line b. Line c is parallel to line d. Name the transversal for each angle pair. Then tell if the angles are corresponding, alternate interior, alternate exterior, consecutive interior, or none of these. 12 and 18 _____ 20 and 21 _____, Parallel lines and transversals worksheets can help students to learn about angles formed by parallel lines cut by a transversal. Parallel lines and transversals worksheets will help kids in solving geometry problems. Some real-life examples of parallel lines cut by a transversal are zebra crossing on the road, road and railway crossing ... , Displaying 8 worksheets for Proofs Parallel Lines. Worksheets are Using parallel lines in proofs, Proofs with parallel lines, Honors geometry chapter ..., Proofs involving parallel lines I. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. , Infinite Geometry covers all typical Geometry material, beginning with a review of important Algebra 1 concepts and going through transformations. There are over 85 topics in all, from multi-step equations to constructions. Suitable for any class with geometry content. Designed for all levels of learners, from remedial to advanced. Topics. , 18) Even if the lines in question #16 were not. Any value other than 8. Ideally 0 ≤ x ≤ 10. parallel, could. No, that would make the angles 189° and 206°. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com., Section 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles; , Mathster keyboard_arrow_up. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Worksheet Name. 1. 2. 3. Graphs - Parallel Lines. 1., 4.9. (8) $1.50. PDF. There are 7 practice proofs for parallel lines, ranging in difficulty from 3 steps to 8 steps. The proofs also include practice with the Theorem "If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line." , This geometry video tutorial explains how to prove parallel lines using two column proofs. This video contains plenty of examples and practice problems for ..., Although parallel parking is not a routine occurrence while driving, most states require that you show proficiency at it as part of your required driver's license examination, espe..., Honors Geometry (Period 2) Honors Geometry is a class designed for 9th grade students who have successfully passed Algebra I in middle school and for 10th/11th grade students that have shown above average skills in Algebra 1. Honors Geometry is a course where students will work on projects and real world applications in order to understand how ..., of two parallel lines, then it is perpendicular to the other line. If h k and j ⊥ h, then j ⊥ k. Proof Example 2, p. 150; Question 2, p. 150 Theorem 3.12 Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. If m ⊥ p and n ⊥ p, then m n. , Here is a range of free geometry worksheets for 3rd graders. Using these sheets will help your child to: recognize and identify a range of 2d and 3d shapes; recognise and identify right angles and lines of symmetry; recognise and identify parallel lines; identify the faces, edges and vertices of 3d shapes; All the third grade geometry sheets in ..., Recessions can happen any time. If you are about to start a business, why not look into recession proof businesses so you can better safeguard your future. * Required Field Your Na..., Explore geometry Worksheets for grade 10 by Topic. congruent triangles sss sas and asa. converse pythagoras theorem. volume and surface area. transversal of parallel lines. properties of quadrilaterals. area of rectangles and parallelograms. volume and surface area of cones. arcs and chords., Displaying all worksheets related to - Parallel Line Proofs. Worksheets are Parallel lines, Using parallel lines in proofs, Honors geometry chapter 3 proofs involving parallel and, Work section 3 2 angles and parallel lines, Chapter 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Geometry proofs and postulates work, …, Parallel lines & corresponding angles proof (video) | Khan Academy. Google Classroom. About. Transcript. Proof by contradiction that corresponding angle equivalence implies …, Equality is when two things like varibles or measurements are the same numerically: 21 / 3 = 9 - 2 because when you evaluate it they're the same number (7). Congruence is when to geometric figures like lines, angles, and polygons are the same geometrically:, 1.and have no points in common. and are parallel. 2.and have only one point in common. and intersect. 3.and have all points in common. and are the same line. These three possibilities can also be stated in the following postulate: Postulate 9.1Two distinct coplanar lines are either parallel or intersecting. CD., Parallel lines proving proofs studylib. Geometry worksheet parallel lines proving proofs pdf printableProving lines parallel worksheet / proving lines parallel ck 12 3 3 proving lines parallel worksheet answers …, Proving lines parallel worksheets are a great resource for students to practice a large variety of parallel lines questions and problems. These math worksheets are supported …, Triangle And Parallel Lines. Displaying all worksheets related to - Triangle And Parallel Lines. Worksheets are 7 proportional parts in triangles and parallel lines, Name geometry unit 2 note packet triangle proofs, Geometry part 1 lines and angles, Ms work 132 153 geometry 06, Parallel lines parallel, Proving lines parallel, Parallel ... , Displaying all worksheets related to - Parallel Line Proofs. Worksheets are Parallel lines, Using parallel lines in proofs, Honors geometry chapter 3 proofs involving parallel and, Work section 3 2 angles and parallel lines, Chapter 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Geometry proofs and postulates work, …, Geometry: Proofs and Postulates Worksheet Practice Exercises (w/ Solutions) Topics include triangle characteristics, quadrilaterals, circles, midpoints, SAS, and more. …, Lines and angles worksheets are perfect for students to learn and practice various problems about different angle concepts and situations. These worksheets are a great resource for students who wish to grow and improve their skills in angles. Lines and angles worksheets consist of concepts like naming angles, lines, classifying angles ..., Triangle And Parallel Lines. Displaying all worksheets related to - Triangle And Parallel Lines. Worksheets are 7 proportional parts in triangles and parallel lines, Name geometry unit 2 note packet triangle proofs, Geometry part 1 lines and angles, Ms work 132 153 geometry 06, Parallel lines parallel, Proving lines parallel, Parallel ..., Geometry Worksheets Listed Alphabetically: Algebraic Representations. Analyzing in Three Dimensions. Angle Word Problems. Angles. Angles Circles- Chords. Angles Outside the Circle. Angles with Parallel Lines. Arcs in Circles., Corresponding angles are easy to find once you know what to look for. Advertisement Geometry is packed with terminology that precisely describes the way various points, lines, surf..., G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles; Geometry - …, Resources tagged with: Angles - points, lines and parallel lines Types All types Problems Articles Games Age range All ages 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level There are 70 NRICH Mathematical resources connected to Angles - points, lines and parallel lines , you may find related items under Angles, polygons, and geometrical proof .