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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. Why?

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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