Free Printable Lesson 5-3 and 5-4 Review

1.

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

2.

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

3.

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

4.

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

a)

6

b)

8

c)

12

d)

14

5.

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

a)

8

b)

10

c)

12

d)

16

6.

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

a)

12

b)

14

c)

17

d)

21

7.

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

8.

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

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectors

9.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

10.

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

11.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

12.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

13.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

14.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

15.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

16.

A circumcenter is the point at which three _____________ intersect in a triangle.

a)

Medians

b)

Altitudes

c)

Perpendicular Bisectors

d)

Angle Bisectors

17.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

18.

A Incenter is the point at which three _____________ intersect in a triangle.

a)

Medians

b)

Altitudes

c)

Perpendicular Bisectors

d)

Angle Bisectors

19.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

20.

A orthocenter is the point at which three _____________ intersect in a triangle.

a)

Medians

b)

Altitudes

c)

Perpendicular Bisectors

d)

Angle Bisectors

21.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

22.

A Centroid is the point at which three _____________ intersect in a triangle.

a)

Medians

b)

Altitudes

c)

Perpendicular Bisectors

d)

Angle Bisectors

23.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

24.

A segment that joins the midpoints of two sides of a triangle.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

e)

Midsegment

25.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

26.

A line that divides a segment into two congruent parts and is perpendicular to the segment.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

e)

Midsegment

27.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

28.

A line that divides an angle into two congruent parts.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

e)

Midsegment

29.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

30.

A segment that connects a vertex of a triangle to the midpoint of the opposite side.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

e)

Midsegment

31.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

32.

A segment that connects a vertex of a triangle to the opposite side so that it is perpendicular to that side.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

e)

Midsegment

33.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

34.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

35.

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

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

36.

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

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

37.

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

38.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

39.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

40.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

41.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

42.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

43.

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

44.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

45.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

46.

The circumcenter and orthocenter can be outside the triangle if the triangle is ...

a)

obtuse

b)

acute

c)

iscolese

d)

right

47.

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

a)

7

b)

14

c)

10.5

d)

28

48.

Find the measure of angle CAD.

a)

b)

c)

d)

49.

Point of Concurrency

a)

In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

b)

Three or more lines that intersect at a common point.

c)

The point of intersection of concurrent lines

d)

The point of concurrency of the perpendicular bisectors of a triangle.

e)

The point of concurrency of the angle bisectors of a triangle.

50.

List the angles of the triangle in order from smallest to largest:

ΔXYZ, where XY = 12, YZ = 24, ZX = 30

a)

∡Z, ∡X, ∡Y

b)

∡X, ∡Y, ∡Z

c)

∡Z, ∡Y, ∡X

d)

∡Y, ∡Z, ∡X

51.

List the sides of the triangle in order from shortest to longest:

ΔDEF, with m∡D = 20, m∡E = 120, and m∡F = 40

a)

EF, DE, DF

b)

DE, DF, EF

c)

DF, DE, EF

d)

DF, EF, DE

52.

Can a triangle have sides with the given lengths:

4 m, 5 m, 9 m

a)

Yes

b)

No

53.

Can a triangle have sides with the given lengths?

15 cm, 1 cm, 15 cm

a)

Yes

b)

No

54.

Can a triangle have sides with the given lengths?

3 in, 6 in, 2 in

a)

Yes

b)

No

55.

The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?

a)

11 in < x < 21 in

b)

x > 0

c)

11 or 21

d)

5 < x < 16

56.

Find the longest side of ΔABC, with m∡A = 50, m∡B = 2x - 10, m∡C = 5x.

a)

AB

b)

BC

c)

AC

d)

∡C

57.

List the angles from smallest to largest.

a)

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

b)

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

c)

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

d)

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

58.

List the angles from smallest to largest.

a)

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

b)

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

c)

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

d)

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

59.

List the SIDES from smallest to largest.

a)

$\overline{CA},\ \overline{BC},\ \overline{AB}$

b)

$\overline{AB},\ \overline{CA},\ \overline{BC}$

c)

$\overline{CA},\ \overline{AB},\ \overline{BC}$

d)

$\overline{BC},\ \overline{CA},\ \overline{AB}$

60.

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

a)

Yes

b)

No

c)

Cannot be determined

61.

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

a)

Yes

b)

No

c)

Cannot be determined

62.

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)

$9<x<19$

63.

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

64.

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

65.

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

66.

The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?

a)

11 in < x < 21 in

b)

x > 0

c)

11 or 21

d)

5 < x < 16

67.

Can a triangle have sides with the given lengths?

3 in, 6 in, 2 in

a)

Yes

b)

No

68.

Can a triangle have sides with the given lengths?

15 cm, 1 cm, 15 cm

a)

Yes

b)

No

69.

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

70.

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

71.

Order the sides from greatest to least

a)

a , b , c

b)

b , c , a

c)

c , b , a

d)

a , c , b

72.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

73.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

74.

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.

75.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

76.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

77.

List the angles from smallest to largest.

a)

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

b)

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

c)

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

d)

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

78.

List the SIDES from smallest to largest.

a)

$\overline{CA},\ \overline{BC},\ \overline{AB}$

b)

$\overline{AB},\ \overline{CA},\ \overline{BC}$

c)

$\overline{CA},\ \overline{AB},\ \overline{BC}$

d)

$\overline{BC},\ \overline{CA},\ \overline{AB}$

79.

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

a)

Yes

b)

No

c)

Cannot be determined

80.

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

a)

Yes

b)

No

c)

Cannot be determined

81.

Which side lengths would NOT form a triangle?

a)

{3,4,5}

b)

{2,5,9}

c)

{5,10,12}

d)

{7,9,11}

82.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

83.

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

84.

What is the

m\angle U

?

(a)

85.

What is the measure of

EF

?

(a)

86.

Find the value of x

(a)

87.

Find the value of x.

(a)

88.

What is the name of this kind of triangle?

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

89.

What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

90.

The sides of an equilateral triangle have...

a)

different measures.

b)

equal measures.

c)

60°.

91.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

92.

If an isosceles triangle has a base angle measuring 40°, then what measure is the vertex angle?

a)

120°

b)

100°

c)

40°

d)

80°

93.

Find x

a)

3

b)

4

c)

2

d)

10

94.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

95.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

96.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

97.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

60, 60, 60

c)

45, 45, 90

d)

35, 55, 90

Lesson 5-3 and 5-4 Review

Total questions: 97

Worksheet time: 2hrs 18mins

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