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Chapter 4 Review: Parallel Lines and Related Angles

Total questions: 40

Worksheet time: 3hrs 7mins

Name
Class
Date
1.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
2.
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)
3.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
4.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

5.

 1\angle1  and  4\angle4  are

a)

Corresponding

b)

Vertical Angles

c)

Alternate Interior

d)

Supplementary

6.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
7.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
8.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
9.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
10.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
11.

Find the missing angle

a)

108

b)

92

c)

88

12.

Angles 4 and 6 are same-side interior, so they are...?

a)

Supplementary

b)

Congruent

13.

Solve for x.

a)

180

b)

12

c)

8

d)

16.7

14.

Find the missing angle.

a)

39

b)

51

c)

129

d)

139

15.

 5=130°\angle5=130\degree 
Find the measure of angle 3.

a)

5

b)

130

c)

50

16.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

17.
Find the slope given the points (-5,-3) and (2,4). 
a)
5/4
b)
1/7
c)
-1
d)
1
18.
Find the slope given the points (1,4) and (5,9). 
a)
5/4
b)
4/5
c)
-5/4
d)
2/3
19.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
20.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
21.
What is the slope of a line perpendicular to a line with slope -6/?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
22.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

23.

Line 1: (1, 2), (2, 3)\left(-1,\ 2\right),\ \left(2,\ 3\right)  
Line 2:  (0, 0), (3, 1)\left(0,\ 0\right),\ \left(3,\ 1\right)  
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

24.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

25.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

26.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

27.

Find the measure of x. Type in your number answer only.

(a)  

28.

Find the measure of x. Type in your number answer only.

(a)  

29.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

30.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
31.

What would be the slope of a line that is parallel to y=3x6y=3x-6 ?

a)

6-6  

b)

3-3  

c)

13\frac{1}{3}  

d)

33  

32.

What is the equation of a line that is parallel to y = 3x - 7 and goes through (2, 1) ?

a)

y=3(2)7y=3\left(2\right)-7

b)

y=3x7y=3x-7

c)

y=3x+1y=3x+1

d)

y=3x5y=3x-5

33.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

y=12x+12y=-\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=2x+7y=-2x+7

d)

y=2x+8y=-2x+8

34.

Write the equation of a line PERPENDICULAR to y=13x9y=\frac{1}{3}x-9  that passes through the point (-6, 10).

a)

y=13x9y=\frac{1}{3}x-9

b)

y=13x+10y=\frac{1}{3}x+10

c)

y=3x+6y=-3x+6

d)

y=3x8y=-3x-8

35.

Select the two lines that are perpendicular.

a)

y=4x2y=4x-2

b)

y=14xy=-\frac{1}{4}x

c)

y=4x+1y=-4x+1

d)

None are perpendicular.

36.

Find the size of angle x.

a)

x = 70o

b)

x = 110o

c)

x = 60o

d)

x = 80o

37.

GT is a Median: find FE

a)

16

b)

32

c)

11

d)

26

38.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
39.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

40.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors