Identify Pairs Of Lines And Angles - GeometryCoach
Identify Pairs of Lines and AnglesUnit 3 Lesson 1
IDENTIFYING PAIRS OF LINES AND ANGLESStudents will be able to:identify pairs of lines and angles and use them to find differentangle measures.Key Vocabulary Parallel, Perpendicular, Intersecting linesComplementary, Supplementary and Linear Pair of anglesVertical, Alternate (exterior and interior) and Corresponding angles
IDENTIFYING PAIRS OF LINES AND ANGLESWhat is a line?A line is set of points and extends in both directions without ending.It is represented by an arrowhead on the letter like 𝑙 or if the pointsare mentioned then it is written as AB. There are three differenttypes of lines:1. Parallel lines2. Intersecting lines3. Perpendicular lines
IDENTIFYING PAIRS OF LINES AND ANGLESParallel lines:Two lines are parallel to each other if they are the same distant aparton each point and never intersect each other.𝑙1𝑙2𝒍𝟏 𝒍𝟐
IDENTIFYING PAIRS OF LINES AND ANGLESIntersecting lines:Two lines are intersecting if they meet (or cut or cross) each other atsome point.𝐏𝑙1𝑙2𝒍𝟏 is intersecting 𝒍𝟐 at point P
IDENTIFYING PAIRS OF LINES AND ANGLESPerpendicular lines:Two lines are perpendicular if they meet (or cut or cross) each otherat an angle of 90 degrees.𝟗𝟎 𝑙1𝑙2𝒍𝟏 is perpendicular to 𝒍𝟐
IDENTIFYING PAIRS OF LINES AND ANGLESAn angle is a measure of the turn between two lines that have acommon end point. The rotation is measured in the anti-clockwisedirection. The two lines form the sides of an angle. The point where two lines are meeting is called the vertex. The angle is represented by asymbol along with a letter.SidesVertexA
IDENTIFYING PAIRS OF LINES AND ANGLESTwo angles are said to be complementary angles if theirsum is 90 degrees.The angles A and B shown in the figure arecomplementary since their angle sum is 90 .BA B 90 A
IDENTIFYING PAIRS OF LINES AND ANGLESTwo angles are said to be supplementary angles if theirsum is 180 degrees.The angles A and B shown in the figure arecomplementary since their angle sum is 180 .BA B 180 A
IDENTIFYING PAIRS OF LINES AND ANGLESVertical angles are the angles opposite to each to each when twolines are crossed. The two vertical angles are congruent.The angles A and B shown in the figure arevertical angles and are congruent.BA BA
IDENTIFYING PAIRS OF LINES AND ANGLESA linear pair of angle is formed when two lines intersect eachother. Two angles are linear if they are adjacent angles formed bytwo intersecting lines.The angles A and B shown in the figure areadjacent angles and also a linear pair.BA andB are linearA
IDENTIFYING PAIRS OF LINES AND ANGLESWhen two coplanar lines are crossed by a 3rd line (called thetransversal), then the angles formed on the opposite sides of thetransversal are called alternate angles. The pair of angles on the opposite side of the transversalbut inside the two coplanar lines are alternate interiorangles (angles A and B in the figure). The pair of angles on the opposite side of the transversalbut outside the two coplanar lines are alternate exteriorangles (angles C and D in the figure). If a transversal intersects two parallel lines, then thealternate angles are congruent.A B andC DDABC
IDENTIFYING PAIRS OF LINES AND ANGLESWhen two coplanar lines are crossed by a 3rd line (called thetransversal), then the angles formed on the same sides of thetransversal are called corresponding angles. The angles A and B, and angles C and D are the pair ofcorresponding angles. If a transversal intersects two parallel lines, then thecorresponding angles are congruent.A B andC DACBD
IDENTIFYING PAIRS OF LINES AND ANGLESProblem 1:Identify all the pair of alternate, vertical and corresponding angles in the figureshown below.Alternate angles:aba and h, b and g, c and f, d and ecVertical angles:ea and d, b and c, e and h, g and fgCorresponding angles:a and e, c and g, b and f, d and hdfh
IDENTIFYING PAIRS OF LINES AND ANGLES Students will be able to: identify pairs of lines and angles and use them to find different angle measures. Key Vocabulary Parallel, Perpendicular, Intersecting lines Complementary, Supplementary and Linear Pair of angles Vertical, Alternate (exterior and interior) and Corresponding anglesFile Size: 501KBPage Count: 14
126 Chapter 3 Parallel and Perpendicular Lines 3.1 Lesson WWhat You Will Learnhat You Will Learn Identify lines and planes. Identify parallel and perpendicular lines. Identify pairs of angles formed by transversals. Identifying Lines and Planes parallel lines, p. 126 skew lines, p. 126 parallel
Chapter 3 Parallel and Perpendicular Lines . 3.1 Identify Pairs of Lines and Angles Objective: Identify angle pairs formed by three intersecting lines. Essential Question: . Slopes of Parallel and Perpendicular Lines Parallel lines: lines ar
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Parallel and 3 Perpendicular Lines 3.1 Identify Pairs of Lines and Angles 3.2 Use Parallel Lines and Transversals 3.3 Prove Lines are Parallel 3.4 Find and Use Slopes of Lines 3.5 Write and Graph Equations of Lines 3.6 Prove Theorems About Perpendicular Lines In previous chapters, you learned the following skills, which you’ll use in
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Worksheet – Section 3-1 Parallel Lines and Transversals . Identify lines cut by a . transversal and the angles formed Name and identify the . special angles pairs formed by two lines cut by a transversal Relationships Between Lines and Planes . When two lines lie in
Skew Lines Skew lines are lines that are and do not . In this diagram, planes R and W are parallel. DEand FGare lines. Perpendicular lines are not skew lines, because they're in the same . Parallel lines are skew lines,
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