Free Printable Geometry Quiz on Congruent Figures

1.

Type your first name please

4 lines

2.

Refer to the diagram and decide which of the following must be true?

a)

$\Delta XSF\ \cong\ \Delta XTG$

b)

$\Delta SXF\ \cong\ \Delta GXT$

c)

$\Delta FXS\ \cong\ \Delta XGT$

d)

$\Delta FXS\ \cong\ \Delta GXT$

3.

The triangles in the diagram are congruent. Which of the following statements must be true?

a)

$\angle A\ \cong\ \angle D$

b)

$\angle B\ \cong\ \angle E$

c)

$\overline{AB}\ \cong\ \overline{DE}$

d)

$\overline{BC}\ \cong\ \overline{FD}$

4.

Trapezoid ABCD $\cong$ trapezoid FGHJ. What is $m\angle J$ ?

a)

$135\degree$

b)

$45\degree$

c)

$90\degree$

d)

$145\degree$

5.

$\Delta RST\ \cong\ \Delta XYZ$ .

Which of the following can't be true?

a)

$\angle R\ \cong\ \angle X$

b)

$\angle T\ \cong\ \angle Z$

c)

$\overline{RT}\ \cong\ \overline{XZ}$

d)

$\overline{SR}\ \cong\ \overline{YZ}$

6.

$\Delta ABC\ \cong\ \Delta DEF$ , $m\angle A\ =\ 50\degree,$ and $m\angle E\ =\ 30\degree.$ What is $m\angle C$ ?

a)

$50\degree$

b)

$30\degree$

c)

$80\degree$

d)

$100\degree$

7.

$\Delta ABC\ \cong\ \Delta EDC$ by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

$\Delta WXZ\ \cong\ \Delta YZX$ by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

9.

What additional information do you need to prove that
$\Delta GHI\ \cong\ \Delta DEF$

a)

$\overline{HI}\ \cong\ \overline{EF}$

b)

$\angle F\ \cong\angle G$

c)

$\overline{HI}\ \cong\ \overline{ED}$

d)

$\overline{GI}\ \cong\ \overline{DF}$

10.

What additional information do you need to prove that
$\Delta NOP\ \cong\ \Delta QSR$

a)

$\overline{PN}\ \cong\ \overline{SQ}$

b)

$\angle P\ \cong\ \angle S$

c)

$\angle O\ \cong\ \angle S$

d)

$\overline{NO}\ \cong\ \overline{QR}$

11.

Which pair of triangles can be proven congruent by the ASA postulate?

a)

b)

c)

d)

12.

For the AAS theorem to apply, which corresponding sides of the triangles must be congruent?

a)

the included sides

b)

the non-included sides

c)

the shortest sides

d)

the longest sides

13.

$\Delta EGF\ \cong\ \Delta HFG$
by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

14.

$\angle3\ \cong\angle5$ , $\angle2\ \cong\ \angle4$ in the diagram

a)

$\Delta VWX\ \cong\ \Delta VYX$ by AAS

b)

$\Delta VWX\ \cong\ \Delta VYX$ by ASA

c)

$\Delta VWX\ \cong\ \Delta XVY$ by ASA

d)

The triangles are not congruent

15.

Which of the following statements is true?

a)

$\Delta BAC\ \cong\ \Delta GHI$ by SAS

b)

$\Delta DEF\ \cong\ \Delta GHI$ by SAS

c)

$\Delta BAC\ \cong\ \Delta DEF$ by HL

d)

$\Delta DEF\ \cong\ \Delta GHI$ by HL

16.

Which additional piece of information would allow you to prove that the triangles are congruent by the HL theorem?

a)

$\angle F\ \cong\ \angle C$

b)

$\overline{AB}\ \cong\ \overline{DE}$

c)

$\angle A\ \cong\ \angle D$

d)

$\overline{AC}\ \cong\ \overline{FE}$

17.

Which additional piece of information would allow you to prove that the two triangles are congruent by HL theorem?

a)

$\angle B\ \cong\ \angle E$

b)

$\angle A\ \cong\ \angle D$

c)

$\overline{AD}$ is bisected by point C

d)

$\angle ACE\ \cong\ \angle BCD$

18.

For what value of x are the triangles congruent by HL?

(a)

19.

The triangles shown are congruent. What are the values of x and y?

a)

x = 1 and y = 4

b)

x = 2 and y = 4

c)

x = 4 and y = 1

d)

x = 1 and y = 3

Geometry Quiz on Congruent Figures

Total questions: 19

Worksheet time: 2hrs 31mins

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