# Congruent Triangles

# Congruent Triangles: S's and A's Abound Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Congruent Triangles**Q. It is stated that ∆

*BAC*≅ ∆*EAD*. What makes this statement true?SSS

SAS

ASA

AAS

The statement is false; ∆

*BAC*≇ ∆*EAD*Q. Is ∆

*ABD*≅ ∆*CBD*?

Yes, by SSS

Yes, by SAS

Yes, by ASA

Yes, by AAS

No

Q. Which of the following statements are true about ∠

*ABD*and ∠*CBD*?

They are supplementary.

They are congruent.

They are right.

(A) and (B)

All of the above.

Q. Why is Δ

*ABD*congruent to Δ*ACD*?

SSS

SAS

ASA

AAS

SSA

Q. How can we tell that ∠

*BAD*is congruent to ∠*ADB*. Why?

Δ

*ABD*is isoscelesSSA

Because they are complementary

SAA

Because they are supplementary

Q. Since ∠

*BAD*≅ ∠*ADB*, and m∠*BAD*+ m∠*ADB*= 90, this means that:

m∠

*ADB*= 45.m∠

*BAD*= 45m∠

*CAD*= 45m∠

*CDA*= 45All of the above

Q. Which is true about

*AD*?

It bisects ∠

*CAB*It bisects ∠

*CDB*It is congruent to

*AB*,*BD*,*DC*and*AC*Both (A) and (B)

All of the above

Q. When is SSA enough information to conclusively prove that two triangles are congruent?

Always

Only when the angle in question is less than 90°

Only when another angle has been determined to be 90°

Only when the angle in question is greater than 90°

Never

Q. Is ∆

*ABC*congruent to ∆*EDC*?

Yes, by SSS

Yes, by SAS

Yes, by ASA

Yes, by AAS

No

Q. Which piece of given information would be enough to prove that Δ

*ABC*was congruent to Δ*EDC*?

*AB*≅

*AD*

∠

*ABC*is a right angle∠

*ADC*≅ ∠*CED*Both (A) and (C)

None of the above