Free Printable Geometry Topic 4 Review

1.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

2.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

3.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

$\angle A\ =\angle A$

d)

$\angle A\ =\angle H$

4.

If $\Delta BCA\cong\Delta YZX$ , what angle corresponds to $\angle C$ ?

a)

$\angle Y$

b)

$\angle Z$

c)

$\angle X$

d)

$\angle C$

5.

Find the value of x and y.

a)

x=85 y=17

b)

x=17 y=19

c)

x=17 y=60

d)

x=17 y=17

6.

Fill in the missing proofs.

a)

Transitive Property, SAS

b)

Reflexive Property, SAS

c)

Reflexive Property, AAS

d)

Transitive Property, AAS

7.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{DE}\cong\overline{DE}$ ; Definition of Midpoint

b)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

c)

$\overline{DG}\cong\overline{EG}$ ; Definition of Midpoint

d)

$\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

8.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

9.

If triangle ABC is equilateral, what is the perimeter of the triangle.

a)

3

b)

24

c)

72

d)

180

10.

Identify the missing reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

11.

Find the measure of angle A.

a)

21 degrees

b)

31 degrees

c)

128 degrees

d)

24 degrees

12.

a)

A

b)

B

c)

C

d)

D

13.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{SA}\cong\overline{NE}$ ; CPCTC

b)

$\overline{SA}\cong\overline{NE}$ ; Parallel Lines Congruence Theorem

c)

$\angle E\cong\angle A$ ; Alternate Interior

d)

$\overline{SE}\cong\overline{AN}$ ; Reflexive

14.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

15.

Find x

a)

10

b)

32

c)

116

d)

16

16.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

17.

What is the value of x?

a)

x=3

b)

x=14

c)

x=2

d)

x=19

18.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

midpoint

d)

hypotenuse

19.

a)

A

b)

B

c)

C

d)

D

20.

What is the value of x?

a)

x=140

b)

x=60

c)

x=70

d)

x=40

21.

Name a pair of overlapping congruent triangles and state how. (Hint: they have to be overlapping)

a)

∆AQT ≅ ∆SQT by SAS

b)

∆TAR ≅ ∆TSP by AAS

c)

∆TAR ≅ ∆TSP by ASA

d)

∆AQT ≅ ∆SQT by SSA

22.

Name a side or angle that is overlapping.

a)

AB

b)

BC

c)

DC

d)

∠DAC

23.

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a reflexive side or angle.

a)

Angle M

b)

Angle P

c)

Angle K

d)

Side PM

e)

Side KM

24.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

Reflexive sides

d)

Vertical angles

25.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△YXW

b)

Yes, △CBA≅△WXY

c)

Yes, △BCA≅△XYW

d)

No

26.

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

a)

No

b)

Yes, SSS

c)

Yes, HL

d)

Yes, SAS

27.

$\Delta XYZ\cong\Delta TRS$

Which side corresponds to side ZX?

a)

TR

b)

ST

c)

SR

d)

RT

28.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

29.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

30.

If AD bisects <EDI, then

a)

<ADE=<IDA

b)

IA=AE

c)

ID=ED

d)

All of the above

Geometry Topic 4 Review

Total questions: 30

Worksheet time: 42mins

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