Free Printable Congruent Triangles - What Additional Information Is Needed?

1.

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

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

2.

For the given picture, what additional piece of information would be needed to prove triangle BAC is congruent to triangle DAC by SAS?

a)

m<BAC = m<DAC

b)

m<BDA = m<DCA

c)

m<ABC = m<ADC

d)

AC = AC

3.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

4.

What additional information is needed to prove the two triangles are congruent by SAS?

a)

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

b)

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

c)

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

d)

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

5.

What additional information is needed to prove the two triangles are congruent by ASA?

a)

$\overline{KN}\ \cong\overline{QM}$

b)

$\angle N\ \cong\angle M$

c)

$\overline{LN}\ \cong\ \overline{PM}$

d)

$\angle L\ \cong\ \angle P$

6.

What additional information is needed to prove the two triangles are congruent by AAS?

a)

$\angle B\ \cong\ \angle K$

b)

$\overline{AB}\ \cong\overline{LK}$

c)

$\angle A\ \cong\ \angle L$

d)

$\overline{BC}\ \cong\ \overline{KM}$

7.

What is the correct congruence statement for these congruent triangles?

a)

ΔRTS ≅ΔEFD

b)

ΔRTS ≅ΔFDE

c)

ΔRTS ≅ΔFED

d)

ΔRTS ≅ΔDEF

8.

What additional information would be needed to prove these triangles congruent by ASA?

a)

There's already enough information here.

b)

CB≅ZY

c)

CA≅ZX

d)

CB≅ZX

9.

What additional information is needed to use the method stated?

a)

∠F ≅ ∠X

b)

HF ≅ ZY

c)

HG ≅ YZ

d)

HG ≅ XZ

10.

What additional information is needed to use the method stated?

a)

∠CDB ≅ ∠KDB

b)

CB ≅ KB

c)

CD≅ KD

d)

DB ≅ BD

11.

What additional information is needed to use the method stated?

a)

∠QCP ≅ ∠QRP

b)

∠QPC ≅ ∠QPR

c)

QP ≅ QP

d)

CQ ≅ RQ

12.

What additional information is needed to prove these triangles congruent by the given method?

a)

A

b)

B

c)

C

d)

D

13.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

14.

State what additional information is required in order to know that the triangles are congruent for the reason given.

a)

$\overline{vt}\cong\overline{vt}$

b)

$\overline{vy}\cong\overline{vu}$

c)

$\overline{uv}\cong\overline{vt}$

d)

$\angle VTU\cong\angle VTY$

15.

State what additional information is required in order to know that the triangles are congruent for the reason given.

a)

$\overline{AC}\cong\overline{QC}$

b)

$\angle CBA\cong\angle CBQ$

c)

$\overline{BQ}\cong\overline{BA}$

d)

$\angle A\cong\angle Q$

16.

Which additional information will prove the triangles congruent by HL?

a)

GH≅SR

b)

FG≅RT

c)

FH≅ST

d)

GH≅ST

17.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

18.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

19.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

20.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

Congruent Triangles - What Additional Information Is Needed?

Total questions: 20

Worksheet time: 23mins

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