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Worksheets

Unit 5 Review

Total questions: 75

Worksheet time: 4hrs 45mins

Name
Class
Date
1.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
2.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
3.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
4.

Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

5.

If the longest side of the triangle was 10, then the two shorter sides must have a sum that is

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

6.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
7.

Will these three sides form a triangle?

a)

yes

b)

no

8.

If the lengths of two sides of a triangle are 7 ft & 13 ft, find the range of lengths for the third side.

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

9.

If the lengths of two sides of a triangle are 7 mm & 4 mm, find the range of lengths for the third side.

a)

3 < x < 11

b)

x > 3 and x > 11

c)

x < 3 or x > 11

10.

Will these side lengths form a triangle?

a)

yes

b)

no

11.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

8 < x < 15

b)

7 < x < 23

c)

x < 7 or x > 23

12.
What is the range of values of for a triangle's third side given side measures of 4 and 12?
a)
between 8 and 16
b)
less than 4, greater than 12
c)
between 4 and 12
13.

Order the angles of the triangle from smallest to largest

a)

B, C, A

b)

A, B, C

c)

A, C, B

14.

Order the sides of the triangle from shortest to longest

a)

LO, BL, BO

b)

BO, BL, LO

c)

BL, LO, BO

15.

Order the sides of the triangle from longest to shortest

a)

BC, AB, AC

b)

AB, BC, AC

c)

AC, BC, AB

16.

Order the angles of the triangle from largest to smallest

a)

O, A, M

b)

M, A, O

c)

A, M, O

17.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
18.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
19.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
20.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
21.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

22.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)

median

23.

Name the type of segment pictured.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

24.

Identify the type of segment pictured below.

a)

Median

b)

Midsegment

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

25.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

26.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

27.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
28.

AD and DC are congruent sides

What is the length of DC

a)
4
b)
1
c)
2
d)
3
29.
Solve for x.
a)
16
b)
20
c)
22
d)
24
30.

Challenge!!

Find the value of y.

(Use decimals if needed)

Be prepared to justify your answer.

a)
19
b)
7
c)
6.5
d)

14.5

31.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
32.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
33.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
34.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
35.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

36.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)
midsegment
37.

Name the type of segment pictured.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

38.

Identify the type of segment pictured below.

a)

Median

b)

Midsegment

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

39.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

40.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

41.
a)
m∠SQP=29, m∠PQR=58
b)
m∠SQP=29, m∠PQR=29
c)
m∠SQP=58, m∠PQR=58
d)
m∠SQP=58, m∠PQR=29
42.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
43.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
44.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
45.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
46.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
47.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
48.

When SR = 68, what is CA?

a)

34

b)

68

c)

136

d)

17

49.

When AB = 16, what is QS?

a)

8

b)

16

c)

24

d)

32

50.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
51.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
52.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
53.

Find x

a)
x = 15
b)
x = 13
c)
x = 12
d)
x = 11
54.

Find x.

a)

52

b)

104

c)

26

55.

Find x.

a)

32

b)

62

c)

31

d)

13

56.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
57.

Which of the following formulas is the distance formula?

a)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)

b)

(x2x1)2+(y2y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

c)

a2+b2=c2a^2+b^2=c^2

d)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

58.

Find the distance between each pair of points.

(-6,-10)  and (-2,-10)

a)

d=6d=6  

b)

d=4d=4  

c)

d=15d=15  

d)

d=12d=12  

59.

What is the midpoint of segment MP?

a)

midpoint does not exist for MP

b)

3.5

c)

3

d)

2.5

60.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

61.
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)
62.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

63.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
64.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
65.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
66.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
67.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
68.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
69.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
70.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)

7.2

71.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

72.

Find the midpoint of the line segment with the given endpoints (1,1) and (9,9)

a)

(5,5)

b)

(1,9)

c)

(17,17)

d)

(-4,-4)

73.

Point W is on  AB\overline{AB}  so that  AW=25ABAW=\frac{2}{5}AB  . What are the coordinates of W?

a)

(14, 18)

b)

(18,14)

c)

(13, 8)

d)

(8, 13)

74.

 Point Q is 34\frac{3}{4} the distance from A to B. What are the coordinates of Q?

a)

(-5, -2)

b)

(2, 5)

c)

(5, -2)

d)

(1, 4)

75.

 Find the coordinates of Point P so that it is 34\frac{3}{4} the distance from A to B.

a)

(2, -4)

b)

(0, -3)

c)

(-2, 0)

d)

(0, -2)