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Midterm Geometry Review

Total questions: 60

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
Describe the transformation in the picture from the black triangle to the blue triangle.
a)
Translation 2 units to the left
b)
Translation 2 units to the right
c)
Translation 2 units up
d)
Translation 2 units down
2.
The triangles below are similar. Find the missing side length.
a)
x = 30
b)
x = 333
c)
x = 10.8
3.
State if the triangles are congruent. If they are, state how you know.
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
4.
If ∆ABC ≅∆DEF, what side is congruent to CA?
a)
FE
b)
DE
c)
FD
d)
DF
5.
If ∆ABC ≅∆DEF, which of the following is not a pair of congruent angles?
a)
A and D
b)
A and E
c)
E and B
d)
F and C
6.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Alternate Exterior
7.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Same Side Exterior
8.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
9.

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.


What are the values of x and y?

a)

x = 42 and y = 96

b)

x = 69 and y = 69

c)

x = 90 and y = 48

d)

x = 96 and y = 42

10.

Line r is parallel to line t. Find m∠6. The diagram is not to scale.

a)

32

b)

138

c)

142

d)

42

11.

Which three lengths CANNOT be the lengths of the sides of a triangle?

a)

23 m, 17 m, 14 m

b)

11 m, 11 m, 12 m

c)

5 m, 7 m, 8 m

d)

21m, 6 m, 10 m

12.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

13.

Suppose AC =  48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

14.
a)

Segment

b)

Arrow

c)

Line

d)

Ray

15.
a)

Ray

b)

Plane

c)

Line

d)

Segment

16.
RM=
a)
RM=6
b)
RM=3
c)
RM=12
d)
RM=9
17.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
18.

If UW=6x-35, find UW.

a)

17

b)

34

c)

67

d)

26

19.

What is the midpoint of the line segment connecting (-2, 6) and (4, 14)?

a)

(1, 4)

b)

(3, 10)

c)

(1, 10)

d)

(2, 8)

20.

∠ABC and ∠CBD are supplementary angles, m∠ABC = (5x + 12)° and m∠CBD = (13x + 24)°. Find x.

(a)  

21.

Find midpoint: (2, -11)  (-9, 0)

a)
(2, 9)
b)
(3.5, -5.5)
c)
(-3.5, -5.5)
22.

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

a)

(-19,15)

b)

(5,-6)

c)

(-4,-3)

d)

(6,2)

23.

Find the midpoint:

a)


(3,1)\left(3,-1\right)

b)

(1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

24.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

25.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
26.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
27.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
28.

Find the measure of the indicated angle.

a)

135°135\degree  

b)

55°55\degree  

c)

45°45\degree  

d)

60°60\degree  

29.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
30.
Solve for x.
a)
6
b)
-10
c)
7
d)
-9
31.
Solve for x
a)
28
b)
12
c)
10
d)
2
32.

Find the value of x.

a)

7

b)

8

c)

6

d)

5

33.

Find the exact measures of the given angles.

(a)  

34.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
35.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
36.
What angle corresponds to angle 6?
a)
angle 2
b)
angle 4
c)
angle 7
d)
angle 8
37.
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
38.

The special pair of angles shown are:

a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
39.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
40.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
41.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
42.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
43.
Solve for x.
a)
27
b)
23
c)
47
d)
113
44.
What is the value of "x"?
a)
20
b)
30
c)
25
d)
15
45.
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
46.
If ∠H and ∠J are complementary, and the measure of ∠H is 45°, what is the measure of ∠J?
a)
135
b)
45
c)
60
d)
55
47.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
48.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
49.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
50.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
51.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

52.

A flat surface made up of points that has two dimensions and extends without end.

a)
Point
b)
Plane
c)
Angle
d)
Line
53.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
54.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

55.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
56.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
57.
Name the intersection of Plane ADE and Plane W
a)
Point E
b)
Point A
c)
Line AD
d)
Line EA
58.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
59.

xy\overline{xy}   What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

60.

What is a name for this line?

a)
b)
c)