Free Printable Chapter 5 Review

1.

List the angles from smallest to largest.

a)

$<N,\ <L,\ <M$

b)

$<L,\ <M,\ <N$

c)

$<M,\ <N,\ <L$

d)

$<L,\ <N,\ <M$

2.

List the angles from smallest to largest.

a)

$<F,\ <E,\ <D$

b)

$<F,\ <D,\ <E$

c)

$<D,\ <F,\ <E$

d)

$<D,\ <E,\ <F$

3.

List the SIDES from smallest to largest.

a)

$\overline{PR},\ \overline{QP},\ \overline{RQ}$

b)

$\overline{PR},\ \overline{RQ},\ \overline{QP}$

c)

$\overline{QP},\ \overline{PR},\ \overline{RQ}$

d)

$\overline{QP},\ \overline{RQ},\ \overline{PR}$

4.

Is it possible to construct a triangle with sides 15, 37, 53?

a)

Yes

b)

No

c)

Cannot be determined

5.

Is it possible to construct a triangle with sides 9, 16, 8?

a)

Yes

b)

No

c)

Cannot be determined

6.

A triangle has two sides with lengths 5 and 13. Which choice describes the possible lengths of the third side?

a)

$7<x<16$

b)

$5<x<13$

c)

$8<x<18$

d)

$9<x<19$

7.

A triangle has side lengths 6 and 10.

Which choice CANNOT be the length of the third side?

a)

5

b)

11

c)

15

d)

17

8.

A triangle has side lengths 12 and 15.

Which choice CANNOT be the length of the third side?

a)

2

b)

6

c)

12

d)

26

9.

A triangle has side lengths 7 and 12.

Which choice CAN be the length of the third side?

a)

5

b)

10

c)

19

d)

21

10.

Select the largest angle.

a)

$\angle G$

b)

$\angle F$

c)

$\angle H$

11.

Select the middle sized angle.

a)

$\angle G$

b)

$\angle F$

c)

$\angle H$

12.

Select the smallest angle.

a)

$\angle G$

b)

$\angle F$

c)

$\angle H$

13.

Select the smallest angle.

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

14.

Which side is the longest?

Hint: First find the missing angle.

a)

PQ

b)

QR

c)

RP

15.

Which side is the middle length?

Hint: First find the missing angle.

a)

PQ

b)

QR

c)

RP

16.

Which side is the smallest length?

Hint: First find the missing angle.

a)

PQ

b)

QR

c)

RP

17.

Which is equation is a correct setup to solve for x?

a)

$4x+20+30\ =\ x+5$

b)

$30+4x+20+x+5=90\degree$

c)

$30+4x+20+x+5=180\degree$

18.

Which combination of sides forms a triangle?

a)

1,1,2

b)

3,5,7

19.

Which combination of sides forms a triangle?

a)

4, 4, 7

b)

2, 5, 7.1

20.

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

a)

9

b)

10

c)

11

d)

12

21.

ACTIVITY 1:

What does the following mathematical statement mean?

$x\ >\ y$

a)

x is greater than y

b)

x is smaller than y

22.

Choose all of the correct answer.

a)

$\angle C_1>\angle\ A_7$

b)

$\angle C_1<\angle B_4$

c)

$\angle B_{4\ }<\angle C_1$

d)

$\angle C_1<\angle\ D_6$

23.

What is the intersection of three perpendicular bisectors called?

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

24.

The image show which point of concurrency

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

25.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

26.

Which of the following special segments is shown?

a)

median

b)

angle bisector

c)

perpendicular bisector

d)

altitude

27.

What is the blue line shown?

a)

median

b)

angle bisector

c)

perpendicular bisector

d)

altitude

28.

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

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

29.

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

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

30.

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

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

31.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

32.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

33.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

34.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

Orthocenter

c)

Centroid

d)

Altitude-point

35.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

36.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

37.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

38.

Where would the shortest side of a triangle be located?

a)

Across from the smallest angle in the triangle.

b)

Across from the largest angle in the triangle?

c)

Cannot tell.

39.

Where would the largest angle of a triangle be located?

a)

Across from the longest side.

b)

Across from the shortest side

c)

I need more information to get an answer.

40.

What is the correct order of the lengths of the streets from longest to shortest?

a)

A

b)

B

c)

C

d)

D

41.

Which angle belongs in the middle?

a)

<R

b)

<S

c)

<T

42.

Which angle is the largest?

a)

<R

b)

<S

c)

<T

43.

Which angle is the smallest?

a)

<R

b)

<S

c)

<T

44.

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 8, 10

a)

Yes

b)

No

45.

Determine if the 3 numbers can be measures of the sides of a triangle. 4, 16, 19

a)

Yes

b)

No

46.

What symbol has to be in the inequality to make the side lengths form a triangle?

a)

less than

b)

equal sign

c)

greater than or equal to

d)

greater than

47.

If the given side lengths of a triangle are 16 and 10 which can NOT be the third side?

a)

25

b)

22

c)

27

d)

21

48.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

49.

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

50.

1) 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

51.

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

52.

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

53.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

54.

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

55.

Solve for x if AE is 2x+5 and GE is 3.

a)

x = 3

b)

x = 2

c)

x = 7

d)

x = 1.6

56.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Othrocenter

57.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Othrocenter

58.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

59.

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

60.

1. PQ is the perpendicular bisector of MN. What is QN?

a)

7

b)

14

c)

10.5

d)

28

61.

What is the length of AD?

a)

40

b)

20

c)

8

d)

10

62.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

63.

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

64.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

65.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

66.

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

Chapter 5 Review

Total questions: 66

Worksheet time: 6hrs 30mins

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