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Week 10 day 2 Terrence designed a patio based on the diagram. If AB║DC and the measure of / ADE = 108°, what is the measure of /BAD in degrees? A B • E D C Get out your homework from last night!!! 6 4.3 Triangle Congruence by ASA and AAS You will construct and justify statement about triangles using Angle Side Angle and Angle Angle Side Pardekooper Quick review of yesterday Side Side Side (SSS) Postulate If three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent. ABCDEF B E A D C F Pardekooper Side Angle Side (SAS) Postulate If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. ABCDEF B E A Pardekooper D C F Lets look at some postulates Angle Side Angle (ASA) Postulate If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. B E ABCDEF A D C F Pardekooper Just one more postulate Angle Angle Side (AAS) Postulate If two angles and a nonincluded side of a triangle are congruent to two angles and a nonincluded side of another triangle, then the two triangles are congruent. B ABCDEF E A D Pardekooper C Are the following congruent ? Yes Yes Yes No ASA SAS AAS Pardekooper Now, its time for a proof. Given: XQTR, XR bisects QT Prove: XMQRMT X Q M T R Statement Reason 1. XQTR, XR bisects QT 1. Given 2. TMQM 2. Def. of bisects 3. XMQRMT 3. Vertical ’s are 4. XQMRTM 4. Alternate interior ’s are 5. XMQRMT 5. ASA Pardekooper Which two are congruent and why ? P W X Y R Q ASA S T U RPQUTS Pardekooper Homework