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SHS Geometry Midterm Review

Total questions: 62

Worksheet time: 2hrs 18mins

Name
Class
Date
1.

(-1 - 6n4) + (7 + n4)

a)

-5n4 + 11

b)

-5n4 + 6

c)

11

d)

-6n4 + 11

2.

(-7x3 - 2x4) + (4x3 + 4x4)

a)

2x4 + 5x3

b)

2x4 + 4x3

c)

2x4 - 3x3

d)

2x4 + 3x3

3.

(-x3 + 7x4) + (-6x3 + 5x4)

a)

12x4 - 6x3

b)

12x4 - 4x3

c)

12x4 - 7x3

d)

12x4

4.

(3x - 8x4) - (-3x + 6x4)

a)

-14x4 + 6x

b)

-20x4 - x

c)

-18x4 + 6x

d)

-18x4 - x

5.

(-2a2 + 3a4 + 5) + (-8a4 - 6a2 - 4)

a)

-a4 - 5a2 + 4

b)

-a4 - 8a2 + 1

c)

-5a4 - 8a2 + 1

d)

-a4 - 5a2 + 1

6.

(-8v2 + 3v3 + 2) + (6v4 - 3 - 2v3)

a)

-2v4 - 3v3 -8v2 -2

b)

6v4 + v3 - 8v2 - 1

c)

-2v4 - 3v3 - 8v2 - 1

d)

6v4 - 3v3 - 8v2 - 1

7.

(6 + 7k3 + k2) + (-5k3 + k2 + 3)

a)

2k3 + 2k2 + 11

b)

2k3 + 2k2 + 9

c)

2k3 + 2k2 + 1)

d)

2k3 + 2k2 + 4

8.

(7 + 4x2 + 2x3) - (8x3 + 6x2 - 2x4)

a)

2x4 - 6x3 - 10x2 + 7

b)

2x4 - 6x3 - 10x2

c)

2x4 - x3 - 10x2

d)

2x4 - 6x3 - 2x2 + 7

9.

(3a2 - 4 - a3) - (-6a + 5 - 8a3)

a)

7a3 - 3a2 + 6a - 16

b)

7a3 + 3a2 + 6a - 9

c)

7a3 - 3a2 + 6a - 20

d)

7a3 + 3a2 + 6a - 16

10.

(x4 + x + 4) - (-2x3 - 8x - 3)

a)

x4 + 2x3 + 9x - 1

b)

-6x4 + 5x3 + 9x - 1

c)

x4 + 5x3 + 9x - 1

d)

x4 + 2x3 + 9x + 7

11.
Slopes of perpendicular lines are...
a)

inverse reciprocals.

b)

inverses.

c)

the same.

d)

undefined.

12.
Slopes of parallel lines are...
a)

inverse reciprocals.

b)

inverses.

c)

the same.

d)

undefined.

13.

These lines are...

y=3x−3y=3x-3   y=3x+2y=3x+2  

a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
14.

−6x+y=2-6x+y=2

6x+y=26x+y=2  

These lines are...

a)
Parallel
b)
Perpendicular
c)
Neither
15.

y=−23x+9y=-\frac{2}{3}x+9   y=32x+9y=\frac{3}{2}x+9  

These lines are...

a)
Parallel
b)
Perpendicular
c)
Neither
16.
a)
8
b)
12
c)
-4
d)
-8
17.
Find ST.
a)
11
b)
12
c)
13
d)
14
18.
Solve
a)
x = 6
b)
x = 7
c)
x = 12
d)
x = 144
19.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
20.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
21.
Angles  a and e are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
22.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
23.
Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?
a)
A + B = 90
b)
A and B are both acute angles
c)
A + B = 180
d)
A and B are both obtuse angles
24.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
25.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
26.

A midpoint of a segment is a point that divides the segment into two __________________________ segments.

a)

Equidistant

b)

Congruent

c)

Regular

d)

Equilateral

27.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
28.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
29.

Classify angles 1 and 7.

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

30.

Classify angles 3 and 5.

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

31.

Classify angles 4 and 5.

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

32.
Describe the transformation in the picture from the black triangle to the blue triangle.
a)
Reflection over the y-axis
b)
Reflection over the x-axis
c)
Reflection over y=x
d)
Reflection over y=-x
33.
What are the coordinates of the vertices of the triangle after the translation 2 units up?
a)
(1,2), (3, 5), (-3,0)
b)
(-1,2), (-3,5), (-3,0)
c)
(1,2),(-3,5),(-3,0)
34.
Consider the point A at (-4, 5). Find the coordinates of A’’, the image of A after the transformation (x, y)->(-x, -y) then the transformation (x, y)->(x - 1, y +3).
a)
(-3, -2)
b)
(3, -2)
c)
(-5, 8)
d)
(-5, -8)
35.
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
36.
The triangles below are similar. Find the missing side length.
a)
x = 30
b)
x = 333
c)
x = 10.8
37.
The triangles below are similar. Find x.
a)
x = 42
b)
x = 14
c)
x = 12
d)
x = 144
38.
Find the missing length.
a)
36
b)
64
c)
10
d)
100
39.
State if the triangles are congruent. If they are, state how you know.
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
40.
State if the triangles are congruent. If they are, state how you know.
a)
SSS
b)
AAS
c)
AA
d)
Not Congruent
41.
If ∆ABC ≅∆DEF, what side is congruent to CA?
a)
FE
b)
DE
c)
FD
d)
DF
42.
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
43.
State if the triangles are congruent. If they are, state how you know.
a)
ASA
b)
SAS
c)
AAS
d)
Not Congruent
44.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Alternate Exterior
45.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Same Side Exterior
46.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

47.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

48.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

49.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

50.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

51.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

52.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
53.
Find the missing length indicated. 
a)
16
b)
8
c)
10
d)
14
54.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
55.

Tell whether the triangles are similar or not.

a)

a

b)

b

56.

Tell whether the triangles are similar or not.

a)

a

b)

b

57.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

58.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Not Similar

c)

Yes, SAS

d)

Yes, AA

59.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
60.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, AA

d)

Not similar.

61.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Yes, AA

c)

Yes, SAS

d)

Not similar

62.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None

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