Free Printable Geometry Chapter 4 review

1.

Is the segment shown a median, an angle bisector , or an altitude?

a)

Median

b)

Altitude

c)

angle bisector

d)

Perpendicular bisector

2.

Is the segment shown a median, perpendicular bisector, or an altitude?

a)

Median

b)

perpendicular bisector

c)

Altitude

d)

None of the above

3.

$Given:\ \overline{WX}\cong\overline{JK},\ \overline{YX}\cong\overline{IK},\ \angle X\cong\angle K$
Which of the following lists the correct triangle congruence?

a)

$\Delta WXY\cong\Delta KIJ$

b)

$\Delta WXY\cong\Delta IKJ$

c)

$\Delta WXY\cong\Delta JKL$

d)

$\Delta WXY\cong\Delta IJK$

4.

Suppose one base angle of an isoceles triangle has a measure of 44°. What is the measure of the vertex angle?

a)

108°

b)

92°

c)

56°

d)

44°

5.

Find x and the measures of the unknown sides of the triangle.

a)

$x=11\ \ \overline{RS}\ and\ \overline{RT}=30$

b)

$x=12\ \overline{RS}\ and\ \overline{RT}=31$

c)

$x=13\ \overline{RS}\ and\ \overline{RT}=32$

d)

$x=12\ \overline{RS}\ and\ \overline{RT}=32$

6.

Find x and the measures of the unknown sides of the triangle.

a)

$x=6\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=24$

b)

$x=4\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=20$

c)

$x=3\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=20$

d)

$x=5\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=\ 25$

7.

Find the value of x.

a)

14

b)

2

c)

15

d)

3

8.

Find the value of v.

a)

52

b)

63

c)

76

d)

68

9.

Select the choices that correctly identify congruent corresponding parts of the images. (There is more than one correct choice)

a)

$\angle D\cong\angle J$

b)

$\angle C\cong\angle F$

c)

$\angle B\cong\angle G$

d)

$\angle A\cong\angle F$

10.

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not possible

11.

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not possible

12.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

13.

Are the triangles congruent, if yes, why?

a)

HL

b)

ASA

c)

AAS

d)

Not Congruent

14.

What is the reason?

a)

CPCTC

b)

Definition of midpoint

c)

Definition of segment bisector

d)

Reflexive Property

15.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

16.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

17.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

18.

What is reason #4?

a)

Reflexive Property

b)

Definition of Midpoint

c)

Vertical angles are congruent.

d)

Given

19.

What is statement #6?

a)

BC≅BC

b)

BC≅DA

c)

∠BCD≅BAC

d)

AB≅CD

20.

Which option does not work to prove triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

SSA

21.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

22.

What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

23.

When do you use "CPCTC in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

Never

24.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

25.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

26.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles are congruent

c)

Definition of Angle Bisector

d)

Reflexive property

27.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

28.

Find the value of x

a)

6

b)

12

c)

2

d)

72

29.

Find the value of x

a)

10

b)

52

c)

9

d)

7

30.

a)

56

b)

62

c)

68

d)

112

31.

a)

55

b)

62.5

c)

70

d)

110

32.

a)

31

b)

56

c)

59

d)

62

33.

a)

32

b)

74

c)

106

d)

148

34.

Find the value of x. (Hint: what kind of triangle is this?)

a)

$114\degree$

b)

$66\degree$

c)

$48\degree$

d)

$24\degree$

35.

Triangle LMN is isosceles, angle L is the vertex angle, LM = 3x – 2, LN = 2x + 1, and MN = 5x – 2.

Find the value of x.

(Hint: draw a picture)

a)

0

b)

1

c)

2

d)

3

36.

Triangle DEF is isosceles, angle D is the vertex angle, DE = x + 7, DF = 3x – 1, and EF = 2x + 5.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

4

c)

6

d)

8

37.

Triangle KLM is equilateral with KM = x + 2, LM = 12 – x, and KL = 4x – 13.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

3

c)

4

d)

5

38.

When we are given two angles of a triangle are congruent, we can prove ____________________.

a)

three sides are congruent

b)

two sides are congruent

c)

three angles are congruent

d)

no other relationships exist

39.

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

a)

two angles are congruent

b)

the third side is congruent

c)

three angles are congruent

d)

no other relationships exist

Geometry Chapter 4 review

Total questions: 39

Worksheet time: 38mins

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