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Geometry Midterm Review (2024)

Total questions: 65

Worksheet time: 5hrs 25mins

Name
Class
Date
1.

Given A, B, and C are collinear points on a segment AC. Find the length of BC, if AB = 7 units and AC = 18 units.

a)

12

b)

11

c)

25

d)

10

2.

Determine the measure of BC if AC = 32

a)

17

b)

18

c)

19

d)

16

3.
Find HG.
a)
8
b)
9
c)
10
d)
11
4.
XY =
a)
6
b)
28
c)
11
d)
7
5.
Find AC
a)
7
b)
8
c)
22
d)
23
6.
Find KL.
a)
18
b)
15
c)
6
d)
20
7.

Name the figure above. Check all that apply.

a)

Ray ON

b)

Line Segment ON

c)

Line NO

d)

Line Segment NO

8.

Name the figure above. Check all that apply.

a)

Line DC

b)

Line Segment CD

c)

Line Segment DC

d)

Ray CD

9.

Identify the image using as many ways as possible.

a)

Line MS

b)

Ray MS, Ray SM

c)

Line Segment MS, Line Segment SM

d)

Line MS, Line SM

10.

Find the angle above

a)

130o

b)

120o

c)

90o

d)

50o

11.

The amount of the angle above is . . . .

a)

60o

b)

80o

c)

120o

d)

140o

12.
What is the measure of the angle?
a)
110 degrees. 
b)
140 degrees.
c)
150 degrees.
d)
170 degrees. 
13.
What is the measure of the following angle?  
a)
21 degrees.
b)
34 degrees.
c)
70 degrees.
d)
172 degrees. 
14.
a)

55o

b)

65o

c)

125o

d)

135o

15.

Find m1.m\angle1.  

a)

180°180\degree  

b)

65°65\degree  

c)

115°115\degree  

16.

Find  m2.m\angle2.  

a)

131°131\degree  

b)

180°180\degree  

c)

49°49\degree  

17.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
18.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
19.

An angle that is more than 90°An\ angle\ that\ is\ more\ than\ 90\degree  but less than  180°180\degree  

a)

Right angle

b)

Acute angle

c)

Complete angle

d)

Obtuse angle

20.

An angle that is less than 90°90\degree

a)

Acute angle

b)

Complete angle

c)

Obtuse angle

d)

Right angle

21.

Which angle is this?

a)

Right angle

b)

Obtuse angle

c)

Acute angle

d)

Complete angle

22.

Name this type of angle.

a)

actue

b)

right

c)

wide

d)

obtuse

23.

Name this type of angle.

a)

acute

b)

right

c)

obtuse

d)

tiny

24.
Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)
a)
(-9, -9)
b)
(-3, -4)
c)
(-3, 4)
d)
(-4, -3)
25.
  Find the distance between (12, -5) and (2, -5).Round to the nearest tenth. 
a)
14.1
b)
10
c)
8
d)
14
26.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
27.
What is the midpoint between (-4,4)
and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
28.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
29.

Find the midpoint between the endpoints (-3, 5) and (2, 1)

a)

(12, 3)\left(-\frac{1}{2},\ 3\right)  

b)

(3, 12)\left(3,\ -\frac{1}{2}\right)  

c)

(1, 2)\left(-1,\ 2\right)  

d)

(0, 2)\left(0,\ 2\right)  

30.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
31.
Perpendicular lines have the same slope.
a)
True
b)
False
32.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 5 and m = -1/5
a)
Parallel
b)
Perpendicular
c)
Neither
33.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = -1/3 and m = -1/3
a)
Parallel
b)
Perpendicular
c)
Neither
34.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
35.

What angle is vertical to 5\angle5 ?

a)

3\angle3

b)

1\angle1

c)

6\angle6

d)

2\angle2

36.

What angle corresponds to  3\angle3  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

37.

What is the angle relationship between the indicated angles in the diagram?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical Angles

e)

Linear pair

38.

1\angle1  and 2\angle2  are ___ and ___.  

a)

Alternate Interior Angles

b)

Supplementary

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

Vertical Angles

39.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
40.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
41.

If  m7=30°, m\angle7=30\degree,\  then  m6 =m\angle6\ =   (a)   °\degree  

42.

If  m3 = 100°, m\angle3\ =\ 100\degree,\  then  m1 = m\angle1\ =\   (a)   °\degree  

43.

If  m1 = 100°, m\angle1\ =\ 100\degree,\  then  m4 = m\angle4\ =\   (a)   °\degree  

44.

If  m5 =56°, m\angle5\ =56\degree,\  then  m1 =m\angle1\ =   (a)   °\degree  

45.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
46.

Find the angle measurement for angle Z

a)

38°38\degree  

b)

42°42\degree  

c)

52°52\degree  

47.

JKU=3x9, UKL=138°\angle JKU=3x-9,\ \angle UKL=138\degree  and    JKL=15x3\angle JKL=15x-3  . Solve for x. 



a)

x = 49

b)

x = 9.4 

c)

x = 11

d)

x = 8.3

48.

Solve for x if ABD=x+67\angle ABD=x+67 ,    ABC=104°\angle ABC=104\degree , and  DBC = x+51\angle DBC\ =\ x+51   .

a)

x = 53

b)

x = 37

c)

x = 7

d)

x =  7-7  

49.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
50.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
51.

What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

52.

Are line RS and line TU parallel, perpendicular, or neither if:

R(–2, 3), S(3, 3), T(–3, 1), and U(3, –1)?

a)

parallel

b)

perpendicular

c)

neither

53.

Are Line FG and line KJ parallel, perpendicular, or neither if:

F(–1, 2), G(3, –4), K(–2, –3), and J(4, 1)?

a)

parallel

b)

perpendicular

c)

neither

54.

Are Line WX and line YZ parallel, perpendicular, or neither if:

slope of WX = 1/2

slope of YZ = -1/2

a)

parallel

b)

perpendicular

c)

neither

55.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
56.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
57.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x + 2, y - 5)

b)

(x - 2, y + 5)

c)

(x - 2, y + 9)

d)

(x + 2, y - 9 )

58.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 units down

b)

6 units up and 2 unit right

c)

6 units down and 3 units left

d)

8 units down and 1 unit right

59.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
60.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
61.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
62.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
63.
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
64.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

65.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)