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Congruent Polygons. October 20, 2017. Congruence. Congruent ( ) – have the same size and shape. Congruent Polygon – corresponding sides and angles are all congruent Corresponding – sides and angles that have the same position in different figures. Y. A. Z.
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Congruent Polygons October 20, 2017
Congruence Congruent () – have the same size and shape. Congruent Polygon – corresponding sides and angles are all congruent Corresponding – sides and angles that have the same position in different figures
Y A Z C X B Ex 1 ∆ABC ∆YXZ ∆BAC ∆XYZ Corresponding Angles Corresponding Sides A Y B X C Z
Ex 2 Identify corresponding sides and corresponding angles of the congruent polygons. Corresponding Angles Corresponding Sides A M B N C O D P
Ex 3 B N A C M O D P Identify corresponding sides and corresponding angles of the congruent polygons. Corresponding Angles Corresponding Sides A O B N C M D P
Ex 4 Identify corresponding sides and corresponding angles of the congruent polygons. MIHKL UZESF Corresponding Angles Corresponding Sides M U I Z H E K S F L
A B C D Identify corresponding sides and corresponding angles of the congruent polygons. ∆ABD ∆CDB Corresponding Angles Corresponding Sides A C BDA DBC ABD CDB
Are the triangles congruent?If so, write a congruence statement. 1. Are corresponding angles congruent? Yes 2. Are corresponding sides congruent? Yes Yes, they are congruent. ∆PMN ∆SRT
Are the quadrilaterals congruent?If so, write a congruence statement. 1. Are corresponding angles congruent? Yes 2. Are corresponding sides congruent? Yes Yes, they are congruent. CFED LMJK
Are the triangles congruent?If so, write a congruence statement. 1. Are corresponding angles congruent? Yes 2. Are corresponding sides congruent? No No, they are not congruent.
Length of a Line Segment “Segment AB” “Length of Segment AB”
Segments are congruent when they have the same length. D C 3 in G H 3 in Segment Lengths are equal (same size) CD = GH Segments are congruent (same size and shape) When writing out lengths, use the = sign. CD = 3 in
10 in 15 in Are the following figures congruent? 1. Are they the same shape? Yes (segments) 2. Are they the same size? No (10 in 15 in) Not Congruent
3 m 3 m Are the following figures congruent? 1. Are they the same shape? Yes (segments) 2. Are they the same size? Yes (both 3m) Congruent
the angle’s name the angle’s measure A B C
Angles are congruent when they have equal measures (same # of degrees). X A 50° 50° Z C Y B Angle Measures equal (same size/degrees) Angles are Congruent (size and shape same) When writing angle measures, use the = sign.
Ex 1 Are the following figures congruent? 130 130 1. Are they the same shape? Yes (angles) 2. Are they the same size? Yes (both 130) Congruent
Ex. 2 Are the following figures congruent? 45 50 1. Are they the same shape? Yes (angles) 2. Are they the same size? No (both 50 45) Not Congruent