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# Task_3_ - Proof Consider triangles r ALB and r ALC r B r r...

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Task: Prove: If the base angles of a triangle are congruent, then the triangle is isosceles. A. Draw and label a diagram that includes: 1. A triangle with each vertex and the given information labeled 2. All other information needed to present the proof B. Construct a formal proof of the theorem including: 1. Given statement 2. Other statements that lead to a proof of the theorem 3. A reason for each step 4. A conclusion that proves the theorem Given: BAC with C B 2245 Prove: Triangle is isosceles. Construction: Draw a perpendicular from vertex A on side BC which meets side BC at L.

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Unformatted text preview: Proof: Consider triangles r ALB and r ALC r B r r C (Given) r ALB r r ALC (Construction) A C B A B C L STATEMENTS REASONS 1. B C 1. Given 2. Construct Angle Bisector AL 2. Construction 3. ALB ALC 3. Definition of Angle Bisector 4 . AL AL 4. Reflexive Property of equality 5. ALB ALC 5. AAS (Angle Angle Side ) 6. ABL ACL 6. Corresponding parts of congruent triangles are congruent.(CPCTC) 7. Hence, BAC is Isosceles 7. Definition of isosceles...
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Task_3_ - Proof Consider triangles r ALB and r ALC r B r r...

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