Free Printable Triangle Congruence Corresponding Parts

1.

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

a)

40^o

b)

50^o

c)

90^o

d)

45^o

2.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

3.

These triangles are congruent. If ∠A is 48^o what is the measure of ∠F?

a)

48^o

b)

38^o

c)

84^o

d)

94^o

4.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

5.

This symbol means congruent

a)

≅

b)

≠

c)

∠

d)

Δ

6.

I indicate an angle using this symbol

a)

≅

b)

Δ

c)

∠

d)

Λ

7.

Congruent sides have the same number of ______

a)

arcs

b)

tick marks (slash marks)

c)

dots

d)

circles

8.

Congruent angles have the same number of ______

a)

arcs

b)

tick marks (slash marks)

c)

dots

d)

circles

9.

What can we assume (what is the legal addition) from the diagram to help us prove △ABC ≅ △DBC?

a)

$AB\cong AD$

b)

∠ABC ≅ ∠DBC

c)

∠ACB ≅ ∠D

d)

BC ≅ BC

10.

What additional information can we assume from the diagram? (what's the legal addition)

a)

∠PQR ≅ ∠PTS

b)

∠QPR ≅ ∠TPS

c)

∠TSP ≅ ∠QRP

d)

QR ≅ TS

11.

What additional information can we assume from the diagram? (what's the legal addition)

a)

∠KJM ≅ ∠KLM

b)

∠LKM ≅ ∠JKM

c)

KM ≅ KM

d)

JM ≅ LM

12.

∆ABC≅∆XYZ

which is true? (Note: the answers should have line segments over the letters)

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

13.

Which of the following is not a valid reason to prove congruent triangles?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

14.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

$\angle A\cong\angle F$

b)

AB = FE

c)

$\angle C\cong\angle D$

d)

AC = FD

15.

What additional piece of information is NEEDED to prove $\Delta BAC\cong\Delta DAC$ by SAS? (not what is given....what is needed)

a)

$\angle BAC\cong\angle DAC$

b)

$\angle DCA\cong\angle BCA$

c)

$BC\cong DC$

d)

$AC\cong AC$

16.

What additional information is needed to prove the two triangles are congruent by SAS? (what is NEEDED)

a)

$\angle Q\ \cong\ \angle T$

b)

$\overline{QS}\ \cong\overline{TU}$

c)

$\overline{PR}\ \cong\ \overline{SU}$

d)

$\angle R\ \cong\ \angle\ U$

17.

What piece of information is GIVEN in this diagram? (what is the legal addition)

a)

∠CDB ≅ ∠KDB

b)

CB ≅ KB

c)

CD≅ KD

d)

DB ≅ BD

18.

What missing piece of information is needed to prove the triangles congruent using SAS? (what is NEEDED)

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

19.

What missing piece of information is needed to prove the triangles congruent using ASA? (what is NEEDED)

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

20.

What piece of information can be added as a given? (what is the legal addition)

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCD

d)

BD = GE

Triangle Congruence Corresponding Parts

Total questions: 20

Worksheet time: 22mins

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