Free Printable Unit Test 8

1.

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

2.

Will these line segments form a triangle?

a)

yes

b)

no

3.

Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12

a)

Yes

b)

No

c)

I don't know.

4.

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

5.

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

6.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

7.

Identify the longest side measure.

a)

AC

b)

BA

c)

BC

8.

Identify the smallest angle.

a)

∠A

b)

∠B

c)

∠C

9.

Identify the smallest angle.

a)

∠K

b)

∠L

c)

∠M

10.

Identify the largest angle.

a)

∠N

b)

∠Q

c)

∠P

11.

Identify the longest side measure.

a)

LM

b)

MQ

c)

LQ

12.

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

13.

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

14.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

15.

Order the angles from greatest to least.

a)

a, b ,c

b)

a , c, b

c)

c , b , a

d)

b , c , a

16.

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

17.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

18.

Which of the following terms best describes Angle d? (remember that it's outside)

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

19.

Find the measure of each angle indicated:

a)

$70\degree$

b)

$120\degree$

c)

$20\degree$

20.

Find the measure of each angle indicated:

a)

$124\degree$

b)

$24\degree$

c)

$80\degree$

21.

Find the value of x

a)

10

b)

12

c)

14

22.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

23.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

24.

Which Theorem explains that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side?

a)

Triangle Inequality Theorem

b)

Quadrilateral Inequality Theorem

c)

Theorum Inequality Theorem

d)

Triangle Equality Theorem

25.

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

26.

Another name for the Hinge Theorem is ______?

a)

SAS Theorem

b)

SSS Theorem

c)

SAS Inequality Theorem

d)

ASA Theorem

27.

a)

Dave

b)

Ellen

28.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

29.

Angle C and P are...

a)

Alternate Interior Angles

b)

Same Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

30.

Angle S and A are...

a)

Alternate Interior Angles

b)

Same Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

31.

Angle R and C are...

a)

Alternate Interior Angles

b)

Same Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

32.

Identify the correct statement.

a)

∠1 & ∠2
are corresponding angles

b)

∠2 & ∠4
are corresponding angles

c)

∠5 & ∠8
are corresponding angles

d)

∠1 & ∠5
are corresponding angles

33.

Identify the correct statement.

a)

∠1 & ∠2
are vertical angles

b)

∠2 & ∠4
are vertical angles

c)

∠5 & ∠8
are vertical angles

d)

∠1 & ∠5
are vertical angles

34.

Identify the correct statement.

a)

∠1 & ∠8
are alternate interior angles

b)

∠2 & ∠3
are alternate interior angles

c)

∠4 & ∠5
are alternate interior angles

d)

∠7 & ∠4
are alternate interior angles

35.

Identify the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

36.

If angle B measures 120 degrees, find the measure of angle Q.

a)

120 degrees

b)

-30 degrees

c)

60 degrees

37.

What angle corresponds to angle 6?

a)

angle 2

b)

angle 4

c)

angle 7

d)

angle 8

38.

Name a pair of alternate interior angles.

a)

angle 3 & angle 4

b)

angle 5 & angle 6

c)

angle 3 & angle 6

d)

angle 3 & angle 5

39.

What type of relationship do the given angles show?

a)

Corresponding

b)

Alternate Exterior

c)

Vertical

d)

Consecutive Interior

e)

Alternate Interior

40.

What type of relationship do the given angles show?

a)

Corresponding

b)

Alternate Exterior

c)

Vertical

d)

Consecutive Interior

e)

Alternate Interior

41.

What type of relationship do the given angles show?

a)

Corresponding

b)

Alternate Exterior

c)

Vertical

d)

Consecutive Interior

e)

Alternate Interior

42.

What type of relationship do the given angles show?

a)

Corresponding

b)

Alternate Exterior

c)

Vertical

d)

Consecutive Interior

e)

Alternate Interior

43.

What type of relationship do the given angles show?

a)

Corresponding

b)

Alternate Exterior

c)

Vertical

d)

Consecutive Interior

e)

Alternate Interior

44.

Lines m and n are parallel lines cut by the transversal line t.

What type of angles are: $\angle4\ and\ \angle2$

a)

congruent

b)

supplementary

45.

Lines m and n are parallel lines cut by the transversal line t.

What type of angles are: $\angle2\ and\ \angle6$

a)

congruent

b)

supplementary

46.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 4,\ \angle\ 8,\ \angle9$

a)

$\angle4$

b)

$\angle8$

c)

$\angle9$

d)

Not enough information

47.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 1,\ \angle\ 3,\ \angle4$

a)

$\angle1$

b)

$\angle3$

c)

$\angle4$

d)

Not enough information

48.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than $\angle1$

a)

$\angle3,\ \angle4,\ \angle5,\ \angle7,\ \angle8$

b)

$\angle3,\ \angle4,\ \angle5,\ \angle6,\ \angle8$

c)

$\angle2,\ \angle6,\ \angle7,\ \angle8$

d)

$\angle2,\ \angle6,\ \angle8,\ \angle9$

49.

What angle has a measure greater than $m\angle8$ ?

a)

$m\angle5$

b)

$m\angle6$

c)

$m\angle3$

d)

$m\angle7$

50.

A number that tells how likely an event is to happen.

a)

probability

b)

outcome

c)

event

d)

simulation

51.

20% probability

a)

certain

b)

likely

c)

unlikely

d)

uncertain

52.

100% probability

a)

certain

b)

likely

c)

unlikely

d)

uncertain

53.

Set of outcomes in a chance experiment

a)

event

b)

outcomes

c)

certain

d)

probability

54.

List of every possible outcome

a)

chance experiment

b)

probability model

c)

simulation

d)

sample space

55.

A(n) _______________ is the result of a trial.

a)

sample space

b)

event

c)

experiment

d)

outcome

56.

A(n) _____________________ is all the possible outcomes of an experiment.

a)

sample space

b)

trial

c)

experiment

d)

event

57.

A(n) ___________________ is the result of an experiment, usually referring to the desired result.

a)

event

b)

experiment

c)

trial

d)

sample space

58.

A chance of something happening is called _______________.

a)

Outcome

b)

Probability

c)

Event

d)

Independent event

59.

Collection of all possible outcomes in an experiment is called ______________. (Examples: organized list, table, tree diagram)

a)

Dependent event

b)

Compound events

c)

A sample space

d)

Independent event

60.

How many total outfit options are represented?

a)

12

b)

22

c)

3

61.

Which shows the sample space for flipping two coins?

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

Dime, Nickel

62.

What is the sample space when rolling a regular number cube?

a)

1

b)

2, 4, 6

c)

1, 2, 3, 4, 5, 6

d)

6

63.

What is the sample space for this spinner?

a)

1, 1, 1, 1, 2, 3, 4, 4

b)

1, 2, 3, 4, 5, 6, 7, 8

c)

1, 2, 3, 4

d)

8

64.

What is the sample space for the spinner shown?

a)

{yellow}

b)

{yellow and blue}

c)

{red and green}

d)

{yellow, blue, green, red}

65.

You go to a restaurant to buy some snacks. The menu offers food: pancakes, waffles, and fries; and drinks: coffee, juice, hot chocolate, and milk tea. How many foods, and drink combination do you have?

a)

16

b)

12

c)

8

d)

4

66.

Sam will go to Baguio for summer vacation. She wants to pack items to create different outfits. She has 2 jackets, 3 shirts, and 2 pairs of skinny jeans. Can Sam create 12 different outfits from her clothing items?

a)

yes

b)

no

c)

maybe

d)

cannot be determined

67.

You decided to order a pizza and you must choose the of crust and the toppings. If there are only 6 possible combinations of ordering a pizza, from which of the following should you choose?

a)

crust: thin or deep dish; topping: cheese or pepperoni

b)

crust: thin or deep dish; topping: cheese, bacon, or pepperoni

c)

crust: thin or deep dish topping: cheese, bacon, sausage, or pepperoni

d)

crust: thin or deep dish; topping: cheese, bacon, sausage, pepperoni, or hotdog

68.

In a restaurant, you have a dinner choice of one main dish, one vegetable, and one drink. The choices for the main dish are pork and chicken meat. The vegetable choices are broccoli and cabbage. The drink choices are juice and water. How many choices are possible?

a)

8

b)

10

c)

12

d)

14

69.

Which of the following statements is always true?

a)

All intersecting lines are parallel.

b)

Parallel lines are coplanar lines that do not intersect.

c)

Lines that intersect and form right angle are parallel lines.

d)

Skew lines are parallel lines.

70.

It is a theorem that states “if two sides of one triangle are congruent to the corresponding two sides of another triangle, but the included angle of the first triangle is greater than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle”.

a)

Triangle Inequality Theorem

b)

Hinge Theorem

c)

Exterior Angle Inequality Theorem

d)

Converse of Hinge Theorem

Unit Test 8

Total questions: 70

Worksheet time: 2hrs 20mins

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