Free Printable Unit 5 Review

1.

Is DE parallel to BC?

a)

Yes

b)

No

2.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

3.

Name a midsegment of ⌂ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

4.

Name a segment parallel to segment AC

a)

segment DE

b)

segment DB

c)

segment AC

d)

segment BC

5.

Name a segment that has the same length as segment BD

a)

segment BE

b)

segment DE

c)

segment AD

d)

segment AC

6.

name a segment that has half the length of segment AC

a)

segment AD

b)

segment BE

c)

segment DE

d)

segment BC

7.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

8.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

9.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

10.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

11.

VW is a midsegment of triangle KIJ. What is the length of segment KI?

a)

-1

b)

-10

c)

18

d)

8

12.

Which term best describes line segment TV?

?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

13.

Which term best describes line segment UX?

?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

14.

∠IHJ is a right angle

Which term describes line segment JH??

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

15.

Which line segment is an altitude of △SUW??

a)

SV

b)

WT

c)

SU

d)

SW

16.

Which line segment is a median of △PQS??

a)

SQ

b)

PQ

c)

PR

d)

TQ

17.

Which line segment is a perpendicular bisector??

a)

GI

b)

HK

c)

FJ

d)

HJ

18.

Which line segment is an angle bisector?

a)

AB

b)

AD

c)

EB

d)

AC

19.

Which line segment is a perpendicular bisector?

a)

CE

b)

GC

c)

FD

d)

EH

20.

Which line segment is an angle bisector?

a)

CA

b)

EB

c)

DE

d)

DB

21.

Which line segment is a median of △DEG?

a)

GE

b)

GD

c)

DF

d)

EH

22.

Which line segment is an altitude of △PRT?

a)

SU

b)

TQ

c)

TP

d)

ST

23.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

24.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

25.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

26.

Find x, then the measure of AC

a)

x=2, AC=8

b)

x=2, AC=16

c)

x=4, AC=8

d)

x=4, AC=16

27.

Name the dashed segment:

a)

altitude

b)

angle bisector

c)

perpendicular bisector

d)

median

28.

Find the measure of QM

(a)

29.

Find the measure of AF

(a)

30.

Fill in the blank:

A point that is the same distance from two figures is ___________________ from from the two figures.

a)

Equidistant

b)

Congruent

c)

Vertical

d)

Corresponding

31.

Fill in the blank:

A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment.

a)

endpoint

b)

corner

c)

midpoint

d)

side

32.

A ray that divides an angle into two congruent angles is called .............

a)

perpendicular bisector

b)

angle bisector

c)

vertex

d)

divider

33.

Define: CIRCUMCENTER OF A TRAINGLE

a)

the intersection point of the three perpendicular bisectors of a triangle

b)

when a circle passes through the three vertices of a triangle

c)

the point of intersection of three or more lines

d)

the intersection point of the three angle bisectors of a triangle

34.

Define: INCENTER OF A TRIANGLE

a)

the intersection point of the three angle bisectors of a triangle

b)

when three or more lines intersect at a single point

c)

the intersection point of the three perpendicular bisectors of a triangle

d)

the point of intersection of three or more lines

35.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

36.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

37.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

38.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

39.

1. If m<LJK = 28°, what is m<MLK?

a)

56

b)

112

c)

62

d)

124

40.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

41.

Use the Perp Bisector Theorem to find PQ

a)

10

b)

3

c)

-2

d)

5

42.

Use the Perp Bisector Theorem to find DC

a)

4

b)

1

c)

2

d)

3

43.

One of the examples from the video is shown. What is the length of BG?

a)

8

b)

16

c)

17

d)

34

44.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

45.

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

a)

8.95

b)

9.35

c)

10.25

d)

12.65

46.

[Angle Bisectors and Incenter]
If m<BCA is 72, what is m<PCA?

a)

72

b)

48

c)

60

d)

36

47.

3 or more lines that intersect at the same point

a)

Concurrent Lines

b)

Congruent Lines

c)

Perpendicular Lines

d)

Parallel Lines

48.

If m∠CAP = 34° , find ∠CAB.

a)

17°

b)

34°

c)

68°

d)

90°

49.

Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

a)

A. Circumcenter

b)

B. Orthocenter

c)

C. Centroid

d)

D. Midpoint

50.

BD is a median of the triangle. Given DC=11, what is the length of AD?

a)

11

b)

22

c)

5.5

d)

3.67

51.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

6

c)

8

d)

Not Enough Information

52.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

8

c)

12

d)

14

53.

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

a)

8

b)

10

c)

12

d)

16

54.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

12

b)

14

c)

17

d)

21

55.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire median.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

56.

The centroid is the intersection point where the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectors

57.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

58.

Which center points of a triangle are always inside the triangle?

a)

Centroid and Circumcenter

b)

Orthocenter and Incenter

c)

Incenter and Centroid

d)

Circumcenter and Incenter

59.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

60.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

61.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

62.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

63.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

64.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

65.

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

66.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

67.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

68.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

69.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

70.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

71.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

72.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

73.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

74.

If m∠CAP = 34° , find ∠CAB.

a)

A. 17°

b)

B. 34°

c)

C. 68°

d)

D. 90°

75.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

76.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

77.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

78.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

79.

ED is the midsegment of triangle ABC. Find BC

a)

10.2

b)

12.5

c)

20.4

d)

22.7

80.

What is true about the midsegment EF?

a)

EF = 1/2 AB

b)

EF // AB

c)

EF = 1/2 AC

d)

none of these are true

81.

The mid segment of the triangle is 5x-1. Find the value of x.

a)

x = 6

b)

x = 7

c)

x = 11.8

d)

x = 12.4

82.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

83.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

84.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

85.

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

86.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

87.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

88.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

89.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

90.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

91.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

92.

The circumcenter of a triangle is equidistant from the _______ of the triangle.

a)

verticies

b)

sides

c)

center

d)

medsegment

93.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

94.

The point of concurrency made by 3 angle bisectors is known as the

a)

orthocenter

b)

centroid

c)

circumcenter

d)

incenter

95.

If G is the circumcenter, what type of segments are drawn?

a)

perpendicular bisectors

b)

angle bisectors

c)

altitudes

d)

centroids

96.

A perpendicular segment from a vertex to the line containing the opposite side (the height of a triangle).

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Altitude

d)

Midsegment

97.

A segment that is perpendicular to a side of a triangle at its midpoint

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Altitude

d)

Median

98.

A segment joining two sides of a triangle at the midpoints.

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

99.

A segment from a vertex of a triangle and the midpoint of the opposite side.

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Altitude

d)

Median

100.

Three or more lines that intersect at one point.

a)

concurrent

b)

point of concurency

c)

equidistant

d)

congruent

101.

A point where 3 more lines intersect.

a)

concurrent

b)

point of concurency

c)

equidistant

d)

midpoint

102.

The same distance from two or more objects.

a)

concurrent

b)

point of concurency

c)

equidistant

d)

midpoint

103.

A segment that bisects one of the angles of a triangle

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Altitude

d)

Midsegment

104.

The circumcenter is the point at which all the _____ of a triangle meet.

a)

medians

b)

altitudes

c)

perpendicular bisectors

d)

angle bisectors

105.

H is the circumcenter of triangle BCD. What is the length of GD?

a)

29

b)

26

c)

32

d)

24

106.

H is the circumcenter of triangle BCD. What is the length of BH?

a)

26

b)

32

c)

33

d)

42

107.

The incenter is the point at which all the ____ of a triangle meet.

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

108.

Y is the incenter of triangle STU. What is the length of VT?

a)

29

b)

26

c)

25

d)

24

109.

Y is the incenter of triangle STU. What is the length of YW?

Hint: you will have to use pythagorean theorem

a)

19

b)

12

c)

14

d)

10

110.

The centroid is the point at which the ____ of a triangle meet.

a)

perpendicular bisectors

b)

angle bisectors

c)

medians

d)

altitudes

111.

J is the centroid of triangle DEF. What is the length of JD?

a)

32

b)

38

c)

30

d)

36

112.

J is the centroid of triangle DEF. What is the length of JF?

a)

10

b)

40

c)

20

d)

30

113.

The orthocenter is the point at which the ____ of a triangle meet.

a)

perpendicular bisectors

b)

angle bisectors

c)

medians

d)

altitudes

114.

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

a)

Yes

b)

No

115.

9. 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

116.

Can the following side measures form a triangle?
4 cm, 7 cm, 10 cm

a)

Yes

b)

No

117.

Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

a)

Yes

b)

No

118.

Could a triangle with these side lengths exist?
33, 16, 17

a)

Yes

b)

No

c)

I don't know.

119.

Does a triangle with these side lengths exist?
20, 10, 9

a)

Yes

b)

No

c)

I don't know.

120.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

121.

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

122.

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

a)

between 8 and 15

b)

between 7 and 23

c)

less than 7, greater than 23

123.

What is the range of values of x 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

124.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$12,12$

a)

$1<x<24$

b)

$4<x<24$

c)

$4<x<23$

d)

$0<x<24$

125.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$10,6$

a)

$4<x<16$

b)

$5<x<15$

c)

$6<x<15$

d)

$4<x<14$

126.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$8,9$

a)

$1<x<17$

b)

$1<x<13$

c)

$1<x<15$

d)

$2<x<15$

127.

What is the largest angle?

a)

J

b)

K

c)

L

128.

What is the smallest angle?

a)

∠J

b)

∠K

c)

∠L

129.

What is the largest angle?

a)

∠K

b)

∠L

c)

∠M

130.

What is the biggest side?

a)

EF

b)

FG

c)

EG

131.

What is the smallest side?

a)

EF

b)

FG

c)

EG

132.

What is the smallest side?

a)

LM

b)

MN

c)

LN

133.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

134.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

135.

Can the sides of a triangle have lengths 4, 11, and 13?

a)

Yes

b)

No

136.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

137.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

138.

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

139.

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

140.

What is the correct order of angles?

a)

m∡DFE > m∡FED > m∡EDF

b)

m∡EDF > m∡FED > m∡DFE

141.

Smallest angle to largest angle

a)

∠R, ∠P, ∠Q

b)

∠R, ∠Q, ∠P

c)

∠Q, ∠R, ∠P

d)

∠P, ∠R, ∠Q

142.

From longest side to shortest side.

a)

BC, AB, AC

b)

BC, AC, AB

c)

AB, AC, BC

d)

AC, AB, BC

143.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

144.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

145.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

Unit 5 Review

Total questions: 145

Worksheet time: 24hrs 10mins

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