Free Printable Test on Congruent Triangles

1.

Based on the given, what is the test for triangle congruence should you use to prove the given congruent triangles?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

2.

Which of the following should be statement 1 and reason 1 to prove the given congruent triangles?

a)

$\overline{AC}\cong\overline{BD}$ Given (S)

b)

$\angle CAB\ \cong\angle DBA$ Given (A)

c)

$\angle ACB\ \cong\ \angle BDA$ Given (A)

d)

$\overline{AB}\ \cong\ \overline{BA}$ Given (S)

3.

Which of the following should be statement 2 and reason 2 to prove the given congruent triangles?

a)

$\overline{AB}\ \cong\overline{AC}$ Given (S)

b)

$\overline{BC}\ \cong\ \overline{AD}$ Given (S)

c)

$\angle ADB\ \cong\ \angle BCA$ Given (A)

d)

$\angle ABC\ \cong\ \angle BAD$ Given (A)

4.

Which of the following should be statement 3 and reason 3 to prove the given congruent triangles?

a)

$\overline{BC}\cong\overline{BC}$ Reflexive Property

b)

$\overline{AD}\cong\overline{AD}$ Reflexive Property

c)

$\overline{AB}\cong\overline{BA}$ Symmetric Property

d)

$\overline{AC}\cong\overline{CA}$ Symmetric Property

5.

Which of the following should be statement 4 and reason 4 to prove the given congruent triangles?

a)

$\Delta CAB\ \cong\ \Delta DBA$ ASA Congruence ( 1 , 3 , 2 )

b)

$\Delta ABC\ \cong\Delta ABD$ SSS Congruence ( 1 , 2 , 3 )

c)

$\Delta BAC\ \cong\ \Delta BAD$ SAS Congruence ( 1, 3 , 2 )

d)

$\Delta ACB\ \cong\ \Delta ABD$ AAS Congruence ( 1 , 2 , 3 )

6.

Which of the following should be statement 1 and reason 1 to prove the given congruent triangles?

a)

$\overline{BC}\ \cong\overline{\ BD}$ Given (S)

b)

$\overline{AD}\ \cong\ \overline{AC}$ Given (S)

c)

$\overline{AC}\cong\overline{BD}$ Given (S)

d)

$\overline{AD}\cong\overline{BC}$ Given (S)

7.

Which of the following should be statement 2 and reason 2 to prove the given congruent triangles?

a)

$\angle ACD\ \cong\ \angle BDC$ Given (A)

b)

$\angle ADC\ \cong\angle BCD$ Given (A)

c)

$\angle CAD\ \cong\angle DCB$ Given (A)

d)

$\angle DAC\ \cong\ \angle CBD$ Given (A)

8.

Which of the following should be statement 3 and reason 3 to prove the given congruent triangles?

a)

$\overline{CD}\ \cong\ \overline{CD}$ Reflexive Property

b)

$\overline{AC}\ \cong\ \overline{AC}$ Reflexive Property

c)

$\overline{DC}\ \cong\ \overline{CD}$ Symmetric Property

d)

$\overline{BD}\ \cong\ \overline{DB}$ Symmetric Property

9.

Which of the following should be statement 4 and reason 4 to prove the given congruent triangles?

a)

$\Delta ADC\ \cong\ \Delta BCD$ SAS Congruence ( 1 , 2 , 3 )

b)

$\Delta CAD\ \cong\ \Delta CDB$ ASA Congruence ( 1, 2 , 3 )

c)

$\Delta ACD\ \cong\ \Delta DCB$ AAS Congruence ( 1 , 2 , 3 )

d)

$\Delta DAC\ \cong\ \Delta BDC$ HL Congruence ( 1 , 2 , 3 )

10.

Which of the following should be statement 5 and reason 5 to prove the given congruent triangles?

a)

$\overline{AB}\ \cong\ \overline{BC}$ Reflexive Property

b)

$\overline{AC}\ \cong\ \overline{BD}$ SSS Property

c)

$\overline{AD}\ \cong\ \overline{AC}$ CPCTC

d)

$\overline{CA}\ \cong\ \overline{DB}$ CPCTC

11.

Which of the following should be statement 1 and reason 1 to prove the given congruent triangles?

a)

$\angle EBA\ \cong\ \angle CED$ Given (A)

b)

$\angle BEA\ \cong\ \angle DEC$ Given (A)

c)

$\angle ABE\ \cong\ \angle EDC$ Given (A)

d)

$\angle BAE\ \cong\ \angle CDE$ Given (A)

12.

Which of the following should be statement 2 and reason 2 to prove the given congruent triangles?

a)

$\overline{EB}\ \cong\ \overline{EC}$ Given (S)

b)

$\overline{BE}\ \cong\ \overline{ED}$ Given (S)

c)

$\overline{CE}\ \cong\ \overline{EA}$ Given (S)

d)

$\overline{EA}\ \cong\ \overline{ED}$ Given (S)

13.

Which of the following should be statement 3 and reason 3 to prove the given congruent triangles?

a)

$\angle AEB\ \cong\ \angle DEC$ Opposite angles are congruent (A)

b)

$\angle BAE\ \cong\ \angle CDE$ Opposite angles are congruent (A)

c)

$\angle ABE\ \cong\ \angle DCE$ Alternate angles are congruent (A)

d)

$\angle ABE\ \cong\ \angle EDC$ Alternate angles re congruent (A)

14.

Which of the following should be statement 4 and reason 4 to prove the given congruent triangles?

a)

$\Delta ABE\ \cong\ \Delta DCE$ ASA Congruence ( 1 , 2 , 3 )

b)

$\Delta EBA\ \cong\ \Delta ECD$ SAS Congruence ( 1 , 2 , 3 )

c)

$\Delta BAE\ \cong\ \Delta CDE$ AAS Congruence ( 1 , 3 , 2 )

d)

$\Delta AEB\ \cong\ \Delta DEC$ SSS Congruence ( 1 , 3 , 2 )

15.

Which of the following should be statement 5 and reason 5 to prove the given congruent triangles?

a)

$\overline{AC}\ \cong\ \overline{BD}$ CPCTC

b)

$\overline{BA}\ \cong\ \overline{CD}$ CPCTC

c)

$\overline{AB}\ \cong\ \overline{DC}$ CTCPC

d)

$\overline{CA}\ \cong\overline{\ DB}$ CTCPC

16.

Which of the following should be statement 1 and reason 1 to prove the given congruent triangles?

a)

$\Delta ABC\ \cong\ \Delta DEC$ HL Congruence ( 3 . 4 )

b)

$\overline{AB}\ \perp\ \overline{BC}$ and $\overline{DE}\ \perp\ \overline{EC}$ Given

c)

$\overline{AC}\ \cong\ \overline{DC}$ Definition of bisector (H)

d)

$\angle ABC\ \cong\ \angle DEC\ \cong\ 90\degree$ From statement 1

17.

Which of the following should be statement 2 and reason 2 to prove the given congruent triangles?

a)

$\overline{BC}\ \cong\ \overline{EC}$ Definition of bisector (L)

b)

$\angle ABC\ \cong\ \angle DEC\ \cong\ 90\degree$ From statement 1

c)

$\Delta ABC\ \cong\ \Delta DEC$ HL Congruence ( 3 , 4 )

d)

$\overline{AB}\ \perp\ \overline{BC}$ and $\overline{DE}\ \perp\ \overline{EC}$ Given

18.

Which of the following should be statement 3 and reason 3 to prove the given congruent triangles?

a)

$\angle ABC\ \cong\ \ \angle DEC\ \cong\ 90\degree$ From statement 1

b)

$\Delta ABC\ \cong\ \Delta DEC$ HL Congruence ( 3 , 4 )

c)

$\overline{AB}\ \perp\ \overline{BC}$ and $\overline{DE}\ \perp\ \overline{EC}$ Given

d)

$\overline{AC}\ \cong\ \overline{DC}$ Definition of bisector (H)

19.

Which of the following should be statement 4 and reason 4 to prove the given congruent triangles?

a)

$\overline{BC}\ \cong\ \overline{EC}$ Definition of bisector (L)

b)

$\overline{AB}\ \perp\ \overline{BC}$ and $\overline{DE}\ \perp\ \overline{EC}$ Given

c)

$\Delta ABC\ \cong\ \Delta DEC$ HL Congruence ( 3 , 4 )

d)

$\angle ABC\ \cong\ \angle DEC\ \cong\ 90\degree$ From statement 1

20.

Which of the following should be statement 5 and reason 5 to prove the given congruent triangles?

a)

$\Delta ABC\ \cong\ \Delta DEC$ HL Congruence ( 3 , 4 )

b)

$\overline{BC}\ \cong\ \overline{EC}\$ Definition of bisector (L)

c)

$\overline{AC}\ \cong\ \overline{DC}$ Definition of bisector (H)

d)

$\angle ABC\ \cong\angle DEC\ \cong\ 90\degree$ From statement 1

Test on Congruent Triangles

Total questions: 20

Worksheet time: 20mins

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