Free Printable 4th 9 WK Final Review

1.

If Triangle ABC is any right triangle with right angle at B, what must be true about Angles ∟BAC and ∟BCA?

a)

Their sum must equal 180°.

b)

Their sum must equal 90°.

c)

They must each be 60°.

d)

They must each be 45°.

2.

A triangle has sides that measures 6 units, 8 units and 12 units. Is this triangle a right triangle?

a)

Yes, it is a right triangle because $6^2+8^2=12^2.$

b)

No, it is not a right triangle because $6^2+8^2\ne12^2.$

c)

Yes, it is a right triangle because $6^2+8^2\ne12^2.$

d)

No, it is not a right triangle because $6^2+8^2=12^2.$

3.

If a 18-foot light pole casts a shadow of 7 feet on even ground, what is the distance from the top of the light pole to the top of its shadow?

a)

$\sqrt[]{23}$

b)

$\sqrt[]{161}$

c)

17

d)

28

4.

A canvas has sides that are 12 feet in length and opens up to 10 feet across. What is the height of the center support pole in feet?

a)

7 feet

b)

$\sqrt[]{119\ }$ feet

c)

$\sqrt[]{244}$ feet

d)

13 feet

5.

Point A and Point B are graphed on the grid below. What is the distance between Point A and Point B, in units?

a)

9.8

b)

12.8

c)

8.6

d)

11.2

6.

What is the volume, in cubic inches, of the cone below?

a)

$90\pi$

b)

$270\pi$

c)

$810\pi$

d)

$2430\pi$

7.

What is the volume, in cubic centimeters, of the cylinder below?

a)

$694\pi$

b)

$972\pi$

c)

$720\pi$

d)

$430\pi$

8.

What is the total volume of the figure in cubic feet?

a)

180.97

b)

60.22

c)

64.29

d)

42.34

9.

What is the volume, in cubic inches, of the sphere below?

a)

470.6𝜋

b)

562.5𝜋

c)

710𝜋

d)

830𝜋

10.

Two similar triangles are shown. What is the measure of ∠Y in degrees?

a)

70°

b)

60°

c)

50°

d)

24°

11.

Select the formula that is used to find the volume of a cylinder

a)

$V\ =\ \pi r^2h$

b)

$V\ =\ \frac{1}{3}\pi r^2h$

c)

$V\ =\ \frac{4}{3}\pi r^3$

d)

$V\ =\ \frac{1}{3}lwh$

12.

Select the formula that is used to find the volume of a cone

a)

$V\ =\ \pi r^2h$

b)

$V\ =\ \frac{1}{3}\pi r^2h$

c)

$V\ =\ \frac{4}{3}\pi r^3$

d)

$V\ =\ \frac{1}{3}lwh$

13.

Select the formula that is used to find the volume of a sphere

a)

$V\ =\ \pi r^2h$

b)

$V\ =\ \frac{1}{3}\pi r^2h$

c)

$V\ =\ \frac{4}{3}\pi r^3$

d)

$V\ =\ \frac{1}{3}lwh$

14.

Two parallel lines are cut by a transversal, as shown below. What is the solution when solved for x, and why?

a)

x = 40, because corresponding angles are equal. Therefore, 2x + 54 = 4x -6.

b)

x = 46, because interior angles are equal. Therefore, 2x + 54 = 4x -6.

c)

x = 30, because alternate exterior angles are equal. Therefore, 2x + 54 = 4x -6.

d)

x = 24, because vertical angles are equal. Therefore, 2x + 54 = 4x -6.

15.

Which figure’s interior angles have a sum of 180°?

a)

b)

c)

d)

16.

In the figure below, Line t intersects parallel Lines m and n. Which two angles named below are supplementary angles in the figure?

a)

$\angle5\ and\ \ \angle8$

b)

$\angle3\ and\ \ \angle6$

c)

$\angle1\ and\ \ \angle5$

d)

$\angle3\ and\ \ \angle8$

17.

In the figure below, Line t intersects parallel Lines m and n. Which two angles named below are vertical angles in the figure?

a)

$\angle5\ and\ \ \angle8$

b)

$\angle5\ and\ \ \angle6$

c)

$\angle2\ and\ \ \angle8$

d)

$\angle3\ and\ \ \angle5$

18.

In the figure below, Line t intersects parallel Lines m and n. The measure of which angle is equal to the measure of ∟2?

a)

$\angle1$

b)

$\angle4$

c)

$\angle3$

d)

$\angle5$

19.

IParallel Lines m and n are cut by Transversal t as shown. Which statement is true?

a)

$\angle5\ \cong\ \angle7$

b)

$\angle5\ \cong\ \angle3$

c)

$\angle1\ \cong\angle7$

d)

$\angle3\ \cong\ \angle6$

20.

Parallel Lines m and n are cut by Transversal t as shown. The measure of ∟4 is 120°. Which argument explains the measure of ∟5 is also 120°?

a)

$\angle4$ and $\angle5$ are exterior angles

b)

$\angle4$ and $\angle5$ are alternate interior angles

c)

$\angle4$ and $\angle5$ are vertical angles

d)

$\angle4$ and $\angle5$ are corresponding angles

21.

What theorem can be used alone to find the measure of x in the given triangle?

a)

the Supplementary Angle Theorem

b)

the Triangle Sum Theorem

c)

the Pythagorean Theorem

d)

the Exterior Angle Theorem

22.

Each unit on the grid represents one foot. What is the length to the nearest tenth of a foot of side x of the triangular garden?

a)

5. 8 feet

b)

5.0 feet

c)

4.8 feet

d)

11.0 feet

23.

What are supplementary angles?

a)

Angles that add to 90°

b)

Angles that add to 180°

c)

Angles that are equal to each other

d)

Angles that are not related

24.

What are congruent angles?

a)

Angles that add to 90°

b)

Angles that add to 180°

c)

Angles that are equal to each other

d)

Angles that are not related

25.

What is the value of x?

a)

64

b)

45

c)

180

d)

109

4th 9 WK Final Review

Total questions: 25

Worksheet time: 41mins

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