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Congruency Proof of Triangles

Total questions: 9

Worksheet time: 9mins

Name
Class
Date
1.

If DA is perpendicular to IE, then we can immediately conclude that

a)

IA=AEIA=AE

b)

∠IAD=∠DAE\angle IAD=\angle DAE

c)

∠IDA=∠EDA\angle IDA=\angle EDA

d)

∠IAD & ∠DAE\angle IAD\ \&\ \angle DAE are right angles

2.

If DA bisects EI, then

a)

∠IDA=∠EDA\angle IDA=\angle EDA

b)

AI=EA

c)

Both 1 and 2 are correct

d)

DI=ED

3.

In this picture, we know for sure that

a)

∠TEB=∠ETS\angle TEB=\angle ETS

b)

∠BTE=∠SET\angle BTE=\angle SET

c)

BE=ST

d)

Both 1 and 2 are correct

4.

In this picture,

a)

∠BCA=∠DCE\angle BCA=\angle DCE (vertically opposite angles)

b)

∠C=∠C\angle C=\angle C (vertically opposite angles)

c)

∠EDA=∠BAD \angle EDA=\angle BAD\ (vertically opposite angles)

d)

None of the above; we don't actually have vertical opposite angles

5.

How are the triangles congruent?

a)

AAS

b)

SAS

c)

RHS

d)

SSS

6.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

RHS

7.

How are the triangles congruent?

a)

RHS

b)

SAS

c)

AAS

d)

SSS

8.

Which line is incorrect in the proof?

a)

 ∠CAB=∠FDE (given)\angle CAB=\angle FDE\ \left(given\right)  

b)

 ∠BCA=∠EFD (given)\angle BCA=\angle EFD\ \left(given\right)  

c)

 BC=EF (given)BC=EF\ \left(given\right)  

d)

 ∴ΔABC ≡ΔDEF (AAS)\therefore\Delta ABC\ \equiv\Delta DEF\ \left(AAS\right)  

9.

Which line is incorrect in the proof?

a)

AB=DE(given)AB=DE\left(given\right)

b)

∠B=∠E(given)\angle B=\angle E\left(given\right)

c)

BC=EF (given)BC=EF\ \left(given\right)

d)

∴ΔABC ≡ΔDEF (SAS)\therefore\Delta ABC\ \equiv\Delta DEF\ \left(SAS\right)