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Published byMervyn Ray Modified over 9 years ago
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Week 10 day 2 6 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? AB CDE Get out your homework from last night!!!
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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
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If three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent. Quick review of yesterday Side Side Side (SSS) Postulate A B C D E F ABCDEF
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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 A B C D E F ABCDEF
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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. Lets look at some postulates Angle Side Angle (ASA) Postulate ABCDEF A B C D E F
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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. Just one more postulate Angle Angle Side (AAS) Postulate ABCDEF D A B C E F
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Are the following congruent ? Yes SAS No Yes AAS Yes ASA
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1. XQ TR, XR bisects QT Now, its time for a proof. Given: XQTR, XRbisects QT Prove: XMQRMT StatementReason 1. Given 2. Def. of bisects 2. TM QM 3. XMQ RMT 3. Vertical ’s are M T X Q R 4. Alternate interior ’s are 4. XQM RTM 5. XMQ RMT 5. ASA
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Which two are congruent and why ? P QR S T U W X Y RPQ UTS ASA
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Homework
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