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Midterm Practice - Geometry

Total questions: 48

Worksheet time: 1hrs 13mins

Name
Class
Date
1.

A line containing  \cdot F

a)

 DB\overleftarrow{D}\overrightarrow{B} 

b)

 DE\overleftarrow{D}\overrightarrow{E}  

c)

 EC\overleftarrow{E}\overrightarrow{C}  

d)

 ED\overleftarrow{E}\overrightarrow{D}  

e)

plane MM  

2.

Another name for line k

a)

 DB\overleftarrow{D}\overrightarrow{B} 

b)

 DE\overleftarrow{D}\overrightarrow{E}  

c)

 EC\overleftarrow{E}\overrightarrow{C}  

d)

 ED\overleftarrow{E}\overrightarrow{D}  

e)

plane MM  

3.

intersection of plane M and line k

a)

 CB\overleftarrow{C}\overrightarrow{B} 

b)

 \cdot E

c)

j

d)

plane MM  

4.

Find the equation of the line that passes through the points:

(-4, -2) and (-3, 5)

a)

y=17x+26y=\frac{1}{7}x+26

b)

y=7x+26y=7x+26

c)

y=7x+26y=-7x+26

d)

y=7x26y=-7x-26

5.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
6.

Which graph represents y=32x+4y=-\frac{3}{2}x+4  

a)
b)
c)
d)
7.

Which of the following equations creates a line PERPENDICULAR to the line defined by 

 y=4x5y=4x-5  

a)

 y=14x+9y=\frac{1}{4}x+9  

b)

 y=14x+9y=-\frac{1}{4}x+9  

c)

 y=4x+9y=4x+9  

d)

 y=4x+9y=-4x+9  

8.

Write an equation of a line that passes through the point 

 (9,2)(-9,2)  and is perpendicular to the line y=3x12y=3x-12  

a)

 y=13x1y=-\frac{1}{3}x-1  

b)

 y=13x2y=\frac{1}{3}x-2  

c)

 y=3x+12y=-3x+12  

d)

 y=3x1y=3x-1  

9.

Check all statements that are TRUE

a)

Parallel lines have the same slopes

b)

Parallel lines have negative slopes

c)

Perpendicular lines have opposite reciprocal slopes

d)

Perpendicular lines have undefined slopes

e)

Any two lines with different slopes are perpendicular

10.

 2x+3y=12-2x+3y=-12  What is the slope perpendicular to the line

a)

 32-\frac{3}{2}  

b)

 32\frac{3}{2}  

c)

 23-\frac{2}{3} 

d)

 23\frac{2}{3}  

11.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
12.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
13.

What is the DISTANCE between (-7,0) and (5,9)? (Round answers to nearest tenths)

a)

15.1

b)

15.0

c)

14.9

d)

15.2

14.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
15.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
16.
What is the area of the shape?
a)
35 units squared
b)
24 units squared
c)
not enough information
d)
22 units squared
17.

What is the perimeter of the figure?

a)

17.6 units

b)

15.2 units

c)

18.8 units

d)

30 units

18.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
19.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
20.

Find the value of x.

a)

-3

b)

0

c)

1

d)

3

21.
If DA bisects IE, then
a)
ID=ED
b)
IA=EA
c)
<IDA=<EDA
d)
<IAD and <EAD are right angles
22.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
23.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
24.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
25.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
26.
Angles 4 and 1 are what angle pair?
a)
Complementary
b)
Supplementary
c)
Acute
d)
Vertical
27.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Linear Pair
d)
Vertical
28.
Find angle 1 if angle 2 = 36
a)
144
b)
54
c)
36
d)
154
29.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Supplementary Angles
c)
Corresponding Angles
d)
Complementary Angles
30.
What type of angles are they?
a)
VERTICAL
b)
ALTERNATE INTERIOR
c)
ALTERNATE EXTERIOR
d)
CORRESPONDING
31.
WHAT IS THE VALUE OF X
a)
-7
b)
9.4
c)
7
d)
-9.4
32.
WHAT TYPE OF ANGLES ARE THEY
a)
ALTERNATIVE
b)
CONSERVATIVE
c)
CONSECUTIVE (SAME SIDE)
d)
CORRESPONDING
33.
WHAT TYPE OF ANGLES ARE THESE?
a)
CONSERVATIVE
b)
ALTERNATE INTERIOR
c)
ALTERNATE EXTERIOR
d)
SAME SIDE
34.

Given the rule (x, y) --> (x - 8, y + 7), select ALL the translations that are true

a)

Down 8

b)

Right 8

c)

Left 8

d)

Up 7

e)

Right 7

35.

What is the angle of rotation?

a)

Clockwise 90°

b)

180°

c)

Counter clockwise 270°

d)

Counterclockwise 90°

e)

Clockwise 270°

36.

If ΔABC is translated to image ΔA'B'C', as shown below, by the rule (x,y)→(x - 2, y + 7)

what are the coordinates of ΔA'B'C'?

a)

A'(-6, 4) B'(4, 4) C'(2,8)

b)

A'(-2,4)B'(8, 4)C'(6,8)

c)

A'(-4, 6) B' (8, 6) C'(2, -7)

37.

If Triangle ABC is reflected across the x-axis, what would the coordinate of A' be?

a)

(-5, 1)

b)

(5, -1)

c)

(-1, -5)

d)

(1, 5)

38.

If Triangle ABC is reflected across the y-axis, what would the coordinate of A' be?

a)

(-5, 1)

b)

(5, -1)

c)

(-1, -5)

d)

(1, 5)

39.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
40.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

2

d)

3

41.

In the triangle shown, find the measure of the exterior angle ∠ DFG.

a)

24 + 34

b)

180 - 24

c)

180 - 34

d)

34 - 24

42.

Which angles must be congruent?

a)

ABCACB\angle ABC\cong\angle ACB

b)

BACACB\angle BAC\cong\angle ACB

c)

ABCCAB\angle ABC\cong\angle CAB

d)

BADCAB\angle BAD\cong\angle CAB

43.

Triangle ABC is equilateral and the   mA = 5x15m\angle A\ =\ 5x-15  Solve for x.

a)

9

b)

15

c)

39

d)

60

44.

Which property would prove congruence?

a)

SAS

b)

ASA

c)

AAS

d)

SSs

45.

If KJLMNL\angle KJL\cong\angle MNL  and  KLML\overline{KL}\cong\overline{ML}  , then which congruence theorem can prove that  ΔKLMΔMLN\Delta KLM\cong\Delta MLN  ?


a)

AAS

b)

ASA

c)

SAS

d)

HL

46.
Solve.
a)
63, 27
b)
63, 33
c)
5, 33
d)
30, 60
47.
Solve for x.
a)
10.5
b)
11.5
c)
34
d)
34.5
48.
Find the value of x.
a)
A
b)
B
c)
C
d)
D