Free Printable Congruent Triangles -- Missing Information

1.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

2.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

3.

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

4.

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

5.

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

6.

What is missing to make this true?

a)

∠B≅∠D

b)

∠A≅∠E

c)

∠B≅∠F

7.

What makes this true?

a)

∠C≅∠F

b)

∠B≅∠D

c)

AC ≅ EF

8.

What makes this true?

a)

∠C≅∠F

b)

AB ≅ DE

c)

AC ≅ DF

9.

What makes this true?

a)

AB ≅ DE

b)

∠C≅∠F

c)

AC ≅ DF

10.

What makes this true?

a)

DC ≅ BC

b)

AB ≅ ED

c)

not possible

11.

What makes this true?

a)

EC ≅ AC

b)

BC ≅ DC

c)

not possible

12.

What makes this true?

a)

∠C≅∠C

b)

BC ≅ DC

c)

This is HL

13.

Which of the following cannot be used to prove triangles congruent?

a)

HL

b)

AAA

c)

SSS

d)

SAS

14.

What information is missing to determine if the triangles are congruent by HL?

a)

∠G ≅ ∠X

b)

∠H ≅ ∠W

c)

GI ≅ XV

d)

GH ≅ XW

15.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

$\angle R\cong\angle E$

b)

$\overline{QR}\cong\overline{DE}$

c)

$\overline{SQ}\cong\overline{FD}$

d)

$\overline{SR}\cong\overline{FE}$

16.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

$\overline{BC}\cong\overline{FG}$

b)

$\overline{DB}\cong\overline{HF}$

c)

$\angle D\cong\angle H$

d)

$\angle B\cong\angle F$

17.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

$\angle E\cong\angle Q$

b)

$\overline{EF}\cong\overline{DQ}$

c)

$\angle EFD\cong\angle QDF$

d)

$\angle EDF\cong\angle QFD$

18.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

$\angle W\cong\angle J$

b)

$\overline{LJ}\cong\overline{WU}$

c)

$\angle U\cong\angle L$

d)

$\overline{VJ}\cong\overline{VW}$

19.

a)

SAS

b)

None

c)

SSS

d)

ASA

20.

What additional information is required for the 2 triangles to be congruent by SAS?

a)

A

b)

B

c)

C

d)

D

21.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

Congruent Triangles -- Missing Information

Total questions: 21

Worksheet time: 2hrs 45mins

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