Free Printable Geometry Fall Semester Final Review

1.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

2.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

3.

How many points do you need to make a line?

a)

1

b)

at least 2

c)

3

d)

4

4.

A line that contains point M.

a)

Line q

b)

Line p

c)

Line r

5.

Which of the following is the correct way to name this plane?

a)

Plane PGW

b)

Plane MW

c)

Plane G

d)

Plane PRW

6.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

7.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

8.

Use the figure to write and solve an equation for x.

a)

11

b)

19

c)

33

d)

57

9.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

10.

Use the Distance Formula to find the distance between:

(8,8) and (3,-4)

(a)

11.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

12.

Use the Distance Formula to find the distance between:

(1,5) and (3,8)

a)

7

b)

5.4

c)

2.2

d)

3.6

13.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

14.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

15.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

16.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

17.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

18.

$\angle8$ and $\angle6$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

19.

$\angle1\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

20.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60 degrees

b)

30 degrees

c)

120 degrees

d)

180 degrees

21.

What is the value of x?

a)

$x=20$

b)

$x=-5$

c)

$x=4$

d)

$x=180$

22.

Ray BD bisects ∠ABC. If m∠ABC=124, then what is m∠ABD?

a)

62

b)

24

c)

124

d)

31

23.

$\angle VNM=x+101,\ \angle LMV=x+36$ and $\angle LMN=129\degree$ . Find $m\angle LMV$

a)

$\angle LMV=32\degree$

b)

$\angle LMV=40\degree$

c)

$\angle LMV=-4\degree$

d)

$\angle LMV=4\degree$

24.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

25.

What type of angle is this?

a)

acute

b)

obtuse

c)

right

26.

What is the arrow pointing to in the angle?

a)

a ray

b)

geometry

c)

vertex

d)

line

27.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

28.

1. Find X

a)

28

b)

5

c)

55

d)

40

29.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

30.

Find the value of x.

a)

14

b)

112

c)

108

d)

104

31.

Name a pair of angles that form a linear pair.

a)

Angles 1 and 2

b)

Angles 2 and 4

c)

Angles 5 and 8

d)

Angles 9 and 10

32.

If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?

a)

135

b)

45

c)

125

d)

90

33.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

34.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

35.

Which plane is parallel to plane ABC?

a)

plane JKL

b)

Plane DJI

c)

Plane EKJ

d)

Plane FEL

36.

Name a line parallel to AD

a)

EH

b)

AB

c)

DC

d)

HG

37.

Name a segment parallel to segment EF.

a)

segment CD

b)

segment DH

c)

segment AE

d)

segment FG

38.

Which segment is skew to EF?

a)

DE

b)

BC

c)

KF

d)

DK

39.

What line is skew to line NM?

a)

line QP

b)

line RS

c)

line MP

d)

Line LS

40.

Name a pair of alternate interior angles.

a)

angle 3 & angle 4

b)

angle 5 & angle 6

c)

angle 3 & angle 6

d)

angle 3 & angle 5

41.

Name the angle pair.

a)

Same Side Interior

b)

Vertical

c)

Corresponding

d)

Supplementary

42.

Name the angle pair.

a)

Corresponding

b)

Alternate Interior

c)

Supplementary

d)

Same Side Interior

43.

Name the angle pair.

a)

Same Side Interior

b)

Vertical

c)

Supplementary

d)

Alternate Interior

44.

Name the angle pair.

a)

Alternate Exterior

b)

Corresponding

c)

Vertical

d)

Supplementary

45.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

46.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

47.

Select the two lines that are parallel.

a)

$y=5x-3$

b)

$x\ +\ 5y=2$

c)

$-10y-2x=0$

d)

None are parallel

48.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are perpendicular.

49.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

50.

If two lines are parallel their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

51.

Find the value of x if the $m\angle3\ =\ -4x+5\degree$ and the $m\angle5\ =\ -13x+39\degree$ .

a)

-3.8

b)

3.8

c)

-8

d)

8

52.

Find the value of x if the $m\angle1\ =\ 12x+19\degree$ and the $m\angle2\ =\ 22x-9\degree$ .

a)

-2.8

b)

2.8

c)

-5

d)

5

53.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

54.

Write the slope-intercept form of the line shown in the graph.

a)

y = x − 4/5

b)

y = −4/5 x − 1

c)

y = 4/5 x − 1

d)

y = −x − 4/5

55.

Which is the equation of the line with y-intercept −2 and slope 6.

a)

y = −2x + 6

b)

y = 3x

c)

y = −2x − 6

d)

y = 6x − 2

56.

Write the slope-intercept form of the equation shown in the graph.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

57.

What is the y-intercept of the line?

a)

(0,3)

b)

(0,-3)

c)

(0,-2)

d)

(-3,0)

58.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

59.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x - 15

60.

Write the equation of the line with slope $\frac{3}{5}$ through the point (20, 6).

a)

$y=\frac{3}{5}x-6$

b)

$y=\frac{3}{5}x+18$

c)

$y=\frac{3}{5}x-18$

d)

$y=\frac{3}{5}x+6$

61.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

62.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

63.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

64.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

65.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

66.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

67.

Given the coordinates, classify Triangle QRT by its sides.

Q(-2,-1), R(1, 5), T(-8,-4)

a)

Scalene

b)

Isosceles

c)

Equilateral

68.

Find the measure of angle F

a)

A

b)

B

c)

C

d)

D

69.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

70.

Solve for x.

a)

8

b)

6

c)

15

d)

13

71.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

72.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

73.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

74.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

75.

Name the parallel segment.

a)

JH

b)

PN

c)

MP

d)

MN

76.

Find the missing length.

a)

9

b)

18

c)

4.5

d)

16

77.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

78.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

79.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

80.

Use the Perp Bisector Theorem to find DC

a)

4

b)

1

c)

2

d)

3

81.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

82.

^{Find the missing side}

a)

$\sqrt[]{41}$

b)

$\sqrt[]{20}$

c)

$\sqrt[]{9}$

83.

List the side measures in order, shortest to longest.

a)

QM, QP, MP

b)

MQ, MP, QP

c)

MP, MQ, QP

84.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

85.

Identify the smallest angle.

a)

∠A

b)

∠B

c)

∠C

86.

Does the sides 6, 9, 8make a triangle?

a)

yes

b)

no

87.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$8,12$

a)

$4<x<16$

b)

$5<x<20$

c)

$4<x<17$

d)

$4<x<20$

88.

List the angles of ΔRST in order from least to greatest if RS = 5x + 7, ST = 9x – 16, RT = 2x + 23, and the perimeter of ΔRST = 78.

a)

∠R,∠T,∠S

b)

∠S,∠T,∠R

c)

∠T,∠S,∠R

89.

List the sides of ΔJKL in order from least to greatest if m∠J = (2x + 6). m∠K = (10х - 11): and m∠L = (3x - 10)°.

a)

KL,JK,JL

b)

JK,KL,JL

c)

JL,JK,KL

90.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

Geometry Fall Semester Final Review

Total questions: 90

Worksheet time: 3hrs 0mins

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