Free Printable Unit 6 Triangle Inequalities

1.

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

a)

Yes

b)

No

c)

I don't know.

2.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

3.

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

a)

9

b)

12

c)

8

d)

5

4.

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

5.

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.

6.

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.

7.

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

8.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

JK < JL < KL

b)

JL < KL < JK

c)

JK < KL < JL

d)

KL < JL < JK

9.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

CD, CB, BD

b)

BD, CB, CD

c)

CD, DB, CB

d)

CB, CD, DB

10.

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

a)

$\angle L,\ \angle N,\ \angle M$

b)

$\angle L,\ \angle M,\ \angle N$

c)

$\angle M\ ,\ \angle L,\ \angle N$

d)

$\angle N,\ \angle L,\ \angle M$

11.

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

a)

$\angle V,\ \angle U\ \&\ \angle W$

b)

$\angle U,\ \angle W,\ \angle V$

c)

$\angle U\ ,\ \angle V,\ \angle W$

d)

$\angle W,\ \angle V,\ \angle U$

12.

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

a)

$\angle C,\ \angle B\ =\angle D$

b)

$\angle B,\ \angle D\ =\ \angle C$

c)

$\angle B,\ \angle C,\ \angle D$

d)

$\angle D,\ \angle C,\ \angle B$

13.

What is an angle bisector?

a)

Makes two 90 degree angles

b)

splits a 90 degree angle in half

c)

splits any angle in half

d)

splits 2 sides in half

14.

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

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

15.

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

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

16.

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

17.

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

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

18.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

19.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

20.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

21.

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

22.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

23.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

24.

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

25.

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

26.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

27.

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

28.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

29.

[Medians and Centroid]
If AC = 16, what is AM?

a)

4

b)

8

c)

6

d)

10

30.

[Median and Centroid]
If LB = 4, what is CL?

a)

4

b)

8

c)

6

d)

10

31.

[Median and Centroid]
If AP = 12, what is AL?

a)

6

b)

12

c)

18

d)

24

32.

[Median and Centroid]
If NP = 5, what is CP?

a)

5

b)

8

c)

12

d)

10

33.

[Median and Centroid]
If BM = 21, what is PM?

a)

3

b)

14

c)

10

d)

7

34.

[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?

a)

20

b)

10

c)

5

d)

15

35.

[Angle Bisectors and Incenter]
If PY is 6 and CY is 8, what is PC?

a)

10

b)

16

c)

24

d)

9

36.

[Angle Bisectors and Incenter]
If m<BAP is 30, what is the measure of m<PAC?

a)

60

b)

90

c)

45

d)

30

37.

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

a)

72

b)

48

c)

60

d)

36

38.

[Angle Bisectors and Incenter]
If BX is 2, what is BZ?

a)

2

b)

3

c)

4

d)

5

39.

[Angle Bisectors and Incenter]
If AY is 8, what is AZ?

a)

4

b)

6

c)

8

d)

10

40.

[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?

a)

6

b)

10

c)

16

d)

12

41.

[Perpendicular Bisectors and Circumcenter]
If BC is 18, what is DC?

a)

6

b)

9

c)

12

d)

18

42.

[Perpendicular Bisectors and Circumcenter]
If GF is 6 and GC is 11, what is FC?

a)

9.2

b)

10.5

c)

6.7

d)

8.1

43.

[Perpendicular Bisectors and Circumcenter]
If CG is 10, what is BG?

a)

5

b)

20

c)

10

d)

15

44.

[Perpendicular Bisectors and Circumcenter]
If AE is 5 and AG is 12, what is GE?

a)

9.9

b)

11

c)

10.1

d)

8

45.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

46.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

47.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

48.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

49.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

50.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

51.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

52.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

53.

The place where all three altitudes meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

54.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

55.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

56.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

57.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

58.

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

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

59.

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

a)

obtuse

b)

acute

c)

iscolese

d)

right

60.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

61.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

Unit 6 Triangle Inequalities

Total questions: 61

Worksheet time: 2hrs 58mins

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