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Congruent Triangles

Congruent Triangles

Congruent Triangles: S's and A's Abound True or False

1. It is stated that ∆BAC ≅ ∆EAD. What makes this statement true? -> SAS
2. Is ∆ABD ≅ ∆CBD?

-> Yes, by SSS

3. Which of the following statements are true about ∠ABD and ∠CBD?

-> They are right.

4. Why is ΔABD congruent to ΔACD?

-> SSS

5. How can we tell that ∠BAD is congruent to ∠ADB?

-> SSA

6. Since ∠BAD ≅ ∠ADB, and m∠BAD + m∠ADB = 90, this means that:

-> m∠BAD = 45

7. Which is true about AD?

-> Both (A) and (B)

8. When is SSA enough information to conclusively prove that two triangles are congruent? -> Only when another angle has been determined to be 90°
9. Is ∆ABC congruent to ∆EDC?

-> No

10. Which piece of given information would be enough to prove that ΔABC was congruent to ΔEDC?

-> ABAD


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