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Unit 1B2 Day 5.   Tell whether each statement is needed to show congruence. (yes or no)  The figures must have exactly the same size.  The figures.

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Presentation on theme: "Unit 1B2 Day 5.   Tell whether each statement is needed to show congruence. (yes or no)  The figures must have exactly the same size.  The figures."— Presentation transcript:

1 Unit 1B2 Day 5

2   Tell whether each statement is needed to show congruence. (yes or no)  The figures must have exactly the same size.  The figures must have exactly the same location.  The figures must have exactly the same shape.  The figures must be triangles.  The figures must be polygons. Do now

3   Before, we learned that if all three ____________ and all three _____________ of two triangles are congruent, then _____________________________  But there are easier ways to prove congruence! Triangle Congruence

4   If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Side-Side-Side Congruence Postulate (post. 19)

5   Prove that Δ ABC ≅ Δ DEC. Ex. 1: SSS

6   Prove that Δ PQW ≅ Δ PSW. Ex. 2: SSS

7   If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then __________________________   _____ is includes between sides _______ and _____ Side-Angle-Side Congruence Postulate (post. 20)

8   Ex. 3: Prove that Δ ABC ≅ Δ DEC. Ex. 3: SAS

9   Which congruence postulate could you use to prove that Δ ABC ≅ Δ ABD ? Ex. 4: Which Postulate to Use

10   Given: CD | AB, CB ≅ BD.  Prove: Δ ABC ≅ Δ ABD. Ex. 5: Which Postulate to Use

11   Shared sides or angles – ____________________  X-shape – ___________________  Perpendicular – _________________ Things to Look For

12  Closure


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