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Published byAlexander Warren Modified over 8 years ago
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Warm Up Draw a triangle with the following specifications –One side 5 cm –One side 8 cm –A 40 degree Angle Compare your triangle with your classmates. Are they congruent? Why or why not?
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Postulate 1 Postulate (SSS)-If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent. Ex.1 C A B F D E
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Is Triangle GHJ congruent to Triangle GKJ? YES! BY SSS
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Postulate 2 Postulate (SAS)- If there exists a correspondence between the vertices of two triangles such that two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. Ex. 2 T R S Z X Y
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Postulate 3 Postulate (ASA)- If there exists a correspondence between the vertices of two triangles such that two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent. A B C D E F
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