1029 On a sheet of paper draw and

10/29 On a sheet of paper, draw and label two congruent triangles. Your triangles should be oriented differently (example: not facing the same direction). Use marks to indicate congruent segments and congruent angles (must mark 3 congruent sides and 1 congruent angle)

Review from yesterday The parts of congruent triangles that “match” are called congruent parts _______. vertices indicates the corresponding parts! The order of the ____ ΔABC ΔXYZ

Congruent Triangles In the figure, ΔABC ΔFDE. A As in a mapping, the order of the vertices _______ indicates the corresponding parts. C Congruent Angles B Congruent Sides A F AB FD B D BC DE C E AC FE F E These relationships help define the congruent triangles. D

It turns out that in certain cases all you need are three pairs of congruent parts to know that two triangles are congruent.

Topic is: The following triangle congruent postulates guarantee that 2 triangles are congruent Postulates – assume or claim to be true

Included angle In a triangle, the angle formed by two given sides is called the included angle of the sides. ______ C is the included angle of CA and CB C A B B is the included angle of BA and BC A is the included angle of AB and AC included angle

SSS and SAS included angle of one triangle are sides and the ______ If two ____ congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent. S B SAS Postulate A C If AC RT and A R and then ΔABC ΔRST T R AB RS

Cornell Notes collected today included side of one triangle are angles and the ______ If two _____ congruent to the corresponding angles and included side of another triangle, then the triangles are congruent. S B ASA Postulate A C If A R and AC RT and then ΔABC ΔRST T R C T

Cornell Notes three sides of one triangle are congruent to _____ If three _____ corresponding sides of another triangle, then the two _______ Triangles are congruent. S B SSS Postulate A C If AC RT and AB RS and then ΔABC ΔRST T R BC ST

Cornell Notes nonincluded side of one triangle are angles and a _______ If two _____ congruent to the corresponding two angles and nonincluded side of another triangle, then the triangles are congruent. S B Theorem 5 -4 AAS Theorem A C If A R and C T then ΔABC ΔRST T R and CB TS

Cornell Notes - Examples Are these triangles congruent? If yes, state which triangle congruence postulate guarantees that the triangle are congruent. 1. Not Enough Information 2. Yes, SAS 3. Yes, ASA or AAS

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