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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.
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• Week10 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
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. Side Angle Side (SAS) Postulate ABCDEF B E A D C F Pardekooper
Lets look at some postulates B E A D C F 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. ABCDEF Pardekooper
Just one more postulate B E A D C F 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. ABCDEF Pardekooper
Are the following congruent ? Yes Yes Yes No ASA SAS AAS Pardekooper
Now, its time for a proof. Q X M T R Given: XQTR, XRbisects QT Prove: XMQRMT Statement Reason 1. XQTR, XR bisectsQT 1. Given 2. TMQM 2. Def. of bisects 3. XMQRMT 3. Vertical ’s are 4. XQMRTM 4. Alternate interior ’s are 5. ASA 5. XMQRMT Pardekooper
Which two are congruent and why ? P W X Y R Q S T U ASA RPQUTS Pardekooper