Free Printable Topic 4 Test Review

1.

$\angle ABC\cong?$

a)

$\angle NMP$

b)

$\angle PMN$

c)

$\angle MNP$

d)

$\angle NPM$

2.

Given $\Delta QRS\cong\Delta TUV$ , $QS=3v+2$ , and $TV=7v-6$ , find the length of QS and TV.

a)

8

b)

2

c)

20

d)

9

3.

Are ABCD and LMNP congruent? If so, choose the

rigid motions that would map ABCD onto LMNP.

a)

Translation and Rotation

b)

Reflection and Translation

c)

Rotation and Reflection

d)

ABCD is not congruent to LMNP

4.

Supply the reasons missing from the proof shown:

a)

ASA; CPCTC

b)

SSS; Reflexive Property

c)

SAS; CPCTC

d)

SAS; Reflexive Property

5.

Find the values of x and y.

a)

x = 44; y = 46

b)

x = 46; y = 44

c)

x = 90; y = 46

d)

x = 90; y = 44

6.

What is the value of x?

a)

$68\degree$

b)

$62\degree$

c)

$112\degree$

d)

$124\degree$

7.

State whether $\Delta ABC$ and $\Delta AED$ are congruent. Justify your answer.

a)

Yes, by SAS

b)

Yes, by SAS and SSS

c)

Yes, by SSS

d)

No; there is not enough information.

8.

What additional information is needed to show that $\Delta ABC\cong\Delta DEF$ by SSS? The diagram is not to scale.

a)

$\overline{BC}$ and $m\angle F$

b)

$m\angle A$ and $m\angle F$

c)

$\overline{BC}$ and $\overline{DE}$

d)

$\overline{DE}$ and $m\angle A$

9.

Name the angle included by the sides $\overline{PN}$ and $\overline{NM}$ .

a)

$\angle N$

b)

$\angle M$

c)

$\angle P$

d)

None of these

10.

Justify the last two steps of the proof.

a)

Symmetric Property; SAS

b)

Reflexive Property; SSS

c)

Symmetric Property; SSS

d)

Reflexive Property; SAS

11.

Can you use the SAS, AAS,

or both to prove the triangles congruent?

a)

AAS

b)

SAS

c)

SAS and AAS

d)

Neither

12.

From the information in the diagram, can you prove $\Delta FDG\cong\Delta FDE$ ? Explain.

a)

Yes, by SAS

b)

No

c)

Yes, by ASA

d)

Yes, by AAA

13.

What is the missing reason in the two-column proof?

a)

AAS

b)

SAS

c)

ASA

d)

SSS

14.

Which triangles are congruent by ASA?

a)

$\Delta HGF\cong\Delta VTU$

b)

$\Delta ABC\cong\Delta GFH$

c)

$\Delta HGF\cong\Delta ABC$

d)

None

15.

What is the relationship between $\Delta RST$ and $\Delta MNP$ ?

a)

$\Delta MNP$ is a reflection of $\Delta RST$ over a horizontal line.

b)

$\Delta MNP$ is a $180\degree$ rotation of $\Delta RST$ about T.

c)

$\Delta MNP$ is a $120\degree$ rotation of $\Delta RST$ about R.

d)

$\Delta MNP$ is a reflection of $\Delta RST$ over a vertical line.

16.

Given $ABCDE\cong PQRST$ , what is the value of x?

a)

50

b)

60

c)

25

d)

70

17.

What additional information will allow you to prove the triangles congruent by HL Theorem?

a)

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

b)

$m\angle BCE=90$

c)

$\angle A\cong\angle E$

d)

$\overline{AC}\cong\overline{DC}$

18.

What additional information will allow you to prove the triangles congruent by AAS?

a)

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

b)

$m\angle A\cong\angle B$

c)

$\angle A\cong\angle D$

d)

$\overline{AC}\cong\overline{DC}$

19.

What common angle do $\Delta CDG$ and $\Delta FCE$ share?

a)

$\angle E$

b)

$\angle C$

c)

$\angle D$

d)

$\angle F$

20.

Which angle is congruent to $\angle AEB$ ?

a)

$\angle CEB$

b)

$\angle ABE$

c)

$\angle CBE$

d)

$\angle EAC$

Topic 4 Test Review

Total questions: 20

Worksheet time: 20mins

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