Warm Up. 7.2 Two Proof-Oriented Triangle Theorems.

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Presentation transcript:

Warm Up

7.2 Two Proof-Oriented Triangle Theorems

T53If 2 angles of one triangle are congruent to two angles of a second triangle, then the third angles are congruent. (no-choice Theorem) If <A congruent <D <B congruent <E Then <C congruent <F Since the sum = 180 subtract and get <C congruent <F The triangles do not have to be congruent, the angles do! A F C B D E

T 54 If there exists a correspondence between the vertices of two triangles such that two angles and a non-included side of one triangle are congruent to the corresponding parts of the other, then the triangles are congruent. (AAS)

Given:JM GM GK KJ Conclude: <G congruent <J G M H J K

4x x+101 Find the measure of angle 1. 4x-10 = x+10 2x = 70 x = 35 m<1 = x-10 m<1 = m<1 = 50