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Transcript
4.4 Are There Congruence Shortcuts? _______________________ – Two triangles that are the same size and shape. Corresponding angles and corresponding sides are congruent. E B A ABC A D B E C F F D C DEF AB DE BC EF AC DF ________________ – An angle formed between two given sides of a triangle. ________________ – A side of a triangle between two given angles. SSS Congruence Postulate If the three _________ of one triangle are congruent to three _________ of another triangle, then the two triangles are congruent. E B A C if AB DE BC EF F D AC DF , then ABC ______ SAS Congruence Postulate If two ___________ and the _____________ angle in one triangle are congruent to ______ sides and the _______________ angle in another triangle, then the two triangles are congruent. E B A C if AB DE F D A D AC DF , then ABC ______ Geometry Lesson 4.4: Are There Congruence Shortcuts? Page 1 Example1: Which pairs of triangles are congruent? Which postulate allows you to determine the triangles’ congruency? A G E 12 5 8 D 65 4 C 65 C 8 T 12 H I 4 3.5 O 3.5 O T 5 Example 2: Which pairs of triangles are congruent? Which postulate allows you to determine the triangles’ congruency? C B I A D G H F E J Geometry Lesson 4.4: Are There Congruence Shortcuts? Page 2 Example 3: Which pairs of triangles are congruent? Which postulate allows you to determine the triangles’ congruency? T K O L S P M R N Homework: pp. 222 – 223 => 1 – 6; 9 – 16 Geometry Lesson 4.4: Are There Congruence Shortcuts? Page 3