Free Printable Inequalities in Triangles Quiz

1.

What is the Exterior Angle Theorem?

a)

The sum of the measures of the two remote interior angles in a triangle is equal to the measure of the exterior angle.

b)

The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles.

c)

The sum of the measures of the two remote interior angles in a triangle is equal to 180 degrees.

d)

The measure of an exterior angle of a triangle is less than the measure of each of its remote interior angles.

2.

Which theorem states that if two sides of a triangle are not congruent, then the longer side lies opposite the larger angle?

a)

Angle-Side Inequality Theorem

b)

Side –Angle Inequality Theorem

c)

Greater Side –Greater Angle Theorem

d)

Exterior Angle Inequality Theorem

3.

In the given figure, which angle is greater: m∠8 or m∠4?

a)

m∠8 > m∠4

b)

m∠8 = m∠4

c)

Cannot be determined

d)

m∠8 < m∠4

4.

What is the Converse of Angle-Side Inequality Theorem?

a)

If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side.

b)

If two sides of a triangle are not congruent, then the smaller angle lies opposite the longer side.

c)

If two sides of a triangle are congruent, then the larger angle lies opposite the longer side.

d)

If two sides of a triangle are congruent, then the smaller angle lies opposite the longer side.

5.

In the triangle with angles 52, 62, and 66 degrees, which side is the longest?

a)

Cannot be determined

b)

62

c)

52

d)

66

6.

Which theorem states that the measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles?

a)

Exterior Angle Inequality Theorem

b)

Angle-Side Inequality Theorem

c)

Side –Angle Inequality Theorem

d)

Greater Side –Greater Angle Theorem

7.

In the given figure, which angle is greater: m∠2 or m∠7 + m∠3?

a)

m∠2 < m∠7 + m∠3

b)

m∠2 = m∠7 + m∠3

c)

Cannot be determined

d)

m∠2 > m∠7 + m∠3

8.

1. Hinge theorem states that if two triangles have:

a)

A. two congruent sides, then the triangle with the smaller included angle between those sides will have the longer third side.

b)

B. two congruent sides, then the triangle with the larger included angle between those sides will have the longer third side.

c)

C. no congruent sides, then the two triangles are congruent.

d)

D. two congruent sides, but the third sides have different lengths, then the two triangles are congruent.

9.

2. $\Delta ABC$ and $\Delta DEF$ are shown in the image. $AB\cong DE$ and $BC\cong EF$ . $\angle ABC$ has measure $54\degree$ $\angle DEF$ has measure $78\degree$ . Based on all of this information, which of the following statements is true?

a)

A. AC is longer than DF.

b)

B. DF is shorter than AC.

c)

C. AB is longer than DE.

d)

D. DF is longer than AC.

10.

3. The position of the swing changes based on how hard the swing is pushed. Which pairs of segments are congruent?

a)

A. $AB\cong DE,\ AC\cong DF$

b)

B. $AB\cong DE,\ BC\cong EF$

c)

C. $BC\cong EF,\ AC\cong DF$

d)

D. $CB\cong FE,\ BA\cong ED$

11.

4. Compare the given measures of $QT$ and $ST$ .

a)

A. $QT<ST$

b)

B. $ST<QT$

c)

C. $QT>ST$

d)

D. $QT=ST$

12.

5. Which is a possible measure for $\angle JKM$ ?

a)

A. $22\degree$

b)

B. $25\degree$

c)

C. $27\degree$

d)

D. $30\degree$

13.

6. Which is a possible measure for $ST$ ?

a)

A. $25$

b)

B. $22$

c)

C. $21$

d)

D. $18$

14.

7. From the inequalities in the triangles shown, a conclusion can be reached using the converse of hinge theorem. Which of the following is the last statement?

a)

A. $HM\cong HM$

b)

B. $HO\cong HE$

c)

C. $m\angle OHM>m\angle EHM$

d)

D. $m\angle EHM>m\angle OHM$

15.

8. What are the possible values for $x$ in the figure?

a)

A. $x<11.25$

b)

B. $x>11.25$

c)

C. $x\le11.25$

d)

D. $x\ge11.25$

16.

9. Find the range of possible values for $x$ .

a)

A. $\frac{2}{7}<x<24$

b)

B. $\frac{7}{2}<x<24$

c)

C. $7<x<24$

d)

D. $-7<x<24$

17.

10. Find the range of possible values for $x$ .

a)

A. $\frac{3}{2}<x<8$

b)

B. $\frac{3}{5}<x<8$

c)

C. $\frac{5}{3}<x<8$

d)

D. $\frac{2}{3}<x<8$

18.

Can the following 3 numbers be side measures of a triangle

7, 5, 4

a)

Yes

b)

No

19.

Can the following 3 numbers be side measures of a triangle

5, 2, 4

a)

Yes

b)

No

20.

Can the following 3 numbers be side measures of a triangle

9, 6, 5

a)

Yes

b)

No

21.

Can the following 3 numbers be side measures of a triangle

4, 7, 8

a)

Yes

b)

No

22.

Can the following 3 numbers be side measures of a triangle

3, 10, 8

a)

Yes

b)

No

23.

Can the following 3 numbers be side measures of a triangle

2, 15, 16

a)

Yes

b)

No

24.

Can the following 3 numbers be side measures of a triangle

10, 18, 10

a)

Yes

b)

No

25.

Can the following 3 numbers be side measures of a triangle

1, 13, 13

a)

Yes

b)

No

26.

Can the following 3 numbers be side measures of a triangle

11, 12, 9

a)

Yes

b)

No

27.

Can the following 3 numbers be side measures of a triangle

5, 8, 4

a)

Yes

b)

No

28.

Can the following 3 numbers be side measures of a triangle

8, 2, 8

a)

Yes

b)

No

29.

Can the following 3 numbers be side measures of a triangle

3, 6, 2

a)

Yes

b)

No

30.

What is the missing Angle?

4 lines

31.

What is the missing Angle?

4 lines

32.

What is the missing Angle?

4 lines

33.

What is the missing Angle?

4 lines

34.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

35.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

36.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

37.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

38.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

39.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

40.

Answer the question that follows.

a)

Neva

b)

Shawn

c)

Jin

d)

Jimin

41.

Answer the question that follows.

a)

Plane 1

b)

Train 2

c)

Plane 2

d)

Train 1

42.

Answer the question that follows.

a)

RM

b)

JK

c)

Dave

d)

Ellen

43.

Answer the question that follows.

a)

Crane 1

b)

Crane 2

c)

Crane 3

d)

Crane 4

44.

Is AC or DF longer?

a)

AC

b)

DF

45.

Whose locker forms a larger angle?

a)

Neva

b)

Shawn

46.

Who is closer to the airport?

a)

You

b)

Your friend

47.

Which plane is closer to Simpson City?

a)

Plane 2

b)

Plane 1

48.

Who is closer to the park?

a)

Dave

b)

Ellen

49.

Which helicopter is closer to the BASE?

a)

Helicopter 2

b)

Helicopter 1

50.

The lengths of the crane's arms are fixed.

Is MN or RS shorter?

a)

MN

b)

RS

51.

The surveyor determined that m∠A = 29° and m∠D = 32°. Which of the following can he conclude ?

a)

EF > BC

b)

BC < EF

c)

AC > DE

d)

AC < DF

52.

Which car is father away from the mall?

a)

Car A

b)

Car B

53.

Which angle has biggest measure?

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

d)

$\angle D$

54.

Which side is shorter?

a)

DF

b)

AC

55.

Which angle is the smaller, $\angle1\ or\ \angle2$ ?

a)

$\angle1$

b)

$\angle2$

56.

Which side is the longest ?

a)

ST

b)

SR

c)

XZ

d)

YZ

57.

Which angle has biggest measure?

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

d)

$\angle D$

58.

Which side is the longest ?

a)

DE

b)

AB

c)

DF

d)

AC

59.

Which angle is bigger, $\angle1$ or $\angle2$ ?

a)

$\angle1$

b)

$\angle2$

60.

Which angle is bigger, $\angle1$ or $\angle2$ ?

a)

$\angle1$

b)

$\angle2$

61.

Which angle is bigger, $\angle1$ or $\angle2$ ?

a)

$\angle1$

b)

$\angle2$

62.

Which side is longer, AD or DC ?

a)

AD

b)

DC

63.

Which side is longer, NM or MP ?

a)

NM

b)

MP

64.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

65.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

Inequalities in Triangles Quiz

Total questions: 65

Worksheet time: 1hrs 17mins

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