Plato Mock Test Geometry

Question: 1

Points, Lines, Angles, and Planes

Question 1:

Given the above diagram, which of the following angles are same-side interior angles?

Choose One:

3 and 4

2 and 8

1 and 5

3 and 5

Question: 2

Circles

Question 2:

Which of the following circles are concentric?

Choose One:

Question: 3

Circles

Question 3:

A circular pizza has radius of 12 cm. A single slice in the shape of a sector is cut off.

Find the area of the slice of pizza if the central angle is 140°.

Choose One:

840 cm2

88 cm2

56 cm2

12 cm2

Question: 4


Question 4:

Find the midpoint of the line segment with endpoints (2, 2) and (-4, -6).

Choose One:

(-1, -2)

(-1, 4)

(1, 2)

(-3, -4)

Question: 5


Question 5:

Which of the following points can be considered the third point forming a right triangle given points (0, 0) and (0, 5)?

Choose One:

(4, 5)

(4, 4)

(-5, 4)

(5, 4)

Question: 6

Polygons

Question 6:

Given two equilateral triangles with side lengths of 9 in and 15 in, what is the scale factor between them?

Choose One:

1 : 3

3 : 5

6 : 9

9 : 25

Question: 7

Polygons

Question 7:

Which of the following is a coordinate of the new image of a triangle

located at {(-3, 0), (-1, 4), (3, 0)}, after the translation (x + 2, y - 4)?

Choose One:

(-1, -4)

(1, 4)

(3, -4)

(5, 4)

Question: 8

Polygons

Question 8:

Find the area of the region between a square and an inscribed circle, when the square has a side length of 6 in.

Choose One:

36 - 3 sq in

36 - 6 sq in

36 - 9 sq in

36 - 12 sq in

Question: 9


Question 9:

What is the value of x given the two lines are parallel?

Choose One:

21

31

39

63

Question: 10

Polygons

Question 10:

The perimeter of a rectangle is 48 cm.

If the measure of the height is twice that of the base, which are the measures of the base and height respectively?

Choose One:

4 cm, 8 cm

8 cm, 8 cm

8 cm, 16 cm

10 cm, 20 cm

Question: 11

Circles

Question 11:

SRT is tangent to the circle with center O.

Which one of the following statements is true?

Choose One:

m 1 = m 3

m 1 + m 3 = 90°

m 1 + m 2 = 180°

m 1 = m 2

Question: 12

Polygons

Question 12:

Given diagonal lengths of 10 cm and 24 cm, find the area of a rhombus.

Choose One:

60 sq cm

120 sq cm

240 sq cm

960 sq cm

Question: 13

Polygons

Question 13:

A rectangle has a diagonal length of 5 cm, and a side measure of 3 cm.

What is the area of the rectangle?

Choose One:

9 sq cm

12 sq cm

20 sq cm

25 sq cm

Question: 14

Polygons

Question 14:

A capsule can be seen as a combination of both a cylinder and a sphere broken into two semi-spheres.

If the height of the cylindrical portion is 5 mm, and the radius of the sphere is 3 mm, what is the volume of the capsule?

Choose One:

81 cu mm

99 cu mm

162 cu mm

252 cu mm

Question: 15

Polygons

Question 15:

Jesse is giving his dad a DVD as a gift. The box measures 12 in x 15 in x 9 in.

What is the minimum amount of wrapping paper needed to wrap this gift?

Choose One:

750 sq in

800 sq in

850 sq in

900 sq in

Question: 16

Quadrilaterals

Question 16:

A rectangle's diagonals are __________________.

Choose One:

angle bisectors

perpendicular

congruent

parallel

Question: 17

Quadrilaterals

Question 17:

The base and height of a rectangle measure 14 cm and 8 cm. Find the perimeter and area of the figure, respectively.

Choose One:

22 cm, 56 sq cm

22 cm, 112 sq cm

44 cm, 56 sq cm

44 cm, 112 sq cm

Question: 18

Quadrilaterals

Question 18:

The perimeter of an isosceles trapezoid is 100 m, with leg measures of 18 m.

If the longer base is 3 times the length of the smaller base, what are the measures of the bases?

Choose One:

16 m, 48 m

18 m, 54 m

20 m, 60 m

22 m, 66 m

Question: 19

Quadrilaterals

Question 19:

A parallelogram has an area of 256 sq in.

What is the height of the paralleogram if its base is 32 in?

Choose One:

8 in

16 in

18 in

32 in

Question: 20


Question 20:

Which two lines could be the consecutive sides of a rectangle?

Choose One:

y = x + 1, y = 3x

y = -x - 1, y = -x + 5

y = 4x, y = x + 3

y = - x - 1, y = 2x

Question: 21

Quadrilaterals

Question 21:

Given rectangle ABCE with diagonals intersecting at point F, ABF's area is 128 sq cm, with a height of 16 cm. Find the area of the rectangle.

Choose One:

128 sq cm

256 sq cm

512 sq cm

564 sq cm

Question: 22

Right Triangles

Question 22:

The length of the hypotenuse of a right triangle is 65 cm and the length of one leg is 55 cm.

Find the approximate length of the other leg.

Choose One:

10.0 cm

34.6 cm

85.1 cm

120.0 cm

Question: 23

Right Triangles

Question 23:

A 32-inch TV set has a square screen with diagonal equal to 32 inches.

Find the approximate length of one side.

Choose One:

16.0 inches

22.6 inches

32.0 inches

45.3 inches

Question: 24

Right Triangles

Question 24:

An electrician installing a light fixture places a 10 ft ladder against a wall, making a 30° angle with it.

What is the height from the floor to the point where the ladder meets the wall?

Choose One:

5 ft

5 ft

10 ft

10 ft

Question: 25

Polyhedra and Other Solids

Question 25:

Which one of the ordered triples is a point on the sphere centered at (0, 0,

0) with a radius of ?

Choose One:

, , )

(0, 0, 24)

(0, 0, )

(6, 8, 10)

Question: 26


Question 26:

Given quadrilateral ABCD, B = 2x and D = 5x - 96, what value of x makes this quadrilateral a parallelogram?

Choose One:

22

32

36

96

Question: 27


Question 27:

Which line below is parallel to y = - x + 5?

Choose One:

x + 3y = 15

x - 3y = 15

-x + 3y = 15

3x - y = 5

Question: 28

Right Triangles

Question 28:

Find the area of a 30 - 60 - 90 right triangle if the hypotenuse is 6 units.

Choose One:

3 sq units

4.5 sq units

6 sq units

9 square units

Question: 29

Polygons

Question 29:

Given ABC and DEF, A D and B E, what else is needed to prove these triangles are congruent by ASA?

Choose One:

C F

Question: 30

Right Triangles

Question 30:

A ladder leans against the side of a building with its foot 10 meters from the building.

What is the approximate length of the ladder if it makes an angle of 70° with level ground?

Choose One:

3.4 m

10.6 m

27.7 m

29.2 m

Question: 31

Right Triangles

Question 31:

Find the approximate measure of angle B in the diagram.

Choose One:

15°

17°

19°

24°

Question: 32


Question 32:

A candle is as shown in the figure. The solids are a right cone and a right cylinder.

What is the volume of the candle?

Choose One:

84 cm3

90 cm3

120 cm3

144 cm3

Question: 33


Question 33:

A cylinder has height of 12 cm and lateral surface area equal to 96 square cm.

Find the volume of the cylinder.

Choose One:

48 cm3

192 cm3

96 cm3

128 cm3

Question: 34


Question 34:

What is the slope of a line perpendicular to 3x + 9y = 9?

Choose One:

-3

-1

1

3

Unanswered 0%

Question: 35

Triangles

Question 35:

What kind of triangle has angle measures of 78°, 40°, and 62°?

Choose One:

acute

isosceles

obtuse

right

Question: 36

Triangles

Question 36:

Given CLK, and CL = 8, LK = 13, and CK = 9, place the angles in order from smallest to largest.

Choose One:

K, L, C

C, L, K

C, K, L

K, C, L

Question: 37

Triangles

Question 37:

What else is necessary in the above figure to prove the triangle are congruent by SSS?

Choose One:

Question: 38

Triangles

Question 38:

Given two triangles, ABC and GHI, with A = 60°, H = 75, C = 45° and I = 60°, which statement is true?

Choose One:

ABC ~ GHI AA~

ABC ~ GHI SAS~

ABC ~ GHI by ASA~

ABC ~ GHI by SSS~

Question: 39

Polygons

Question 39:

The current location for a point is (4, -5). What was the point's original location if it were translated using the rule (x + 2, y - 7)?

Choose One:

(2, -2)

(2, 2)

(2, -7)

(6, -12)

Question: 40

Triangles

Question 40:

Each leg of an isosceles triangle measures twice the base, and the perimeter is 80 m.

What are the dimensions of the triangle?

Choose One:

8 m, 36 m, 36 m

12 m, 24 m, 24 m

16 m, 32 m, 32 m

20 m, 40 m, 40 m

Question: 41

Triangles

Question 41:

What is the area of the triangle above?

Choose One:

51.8 sq ft

98 sq ft

103.5 sq ft

207.5 sq ft

Question: 42


Question 42:

The diagonals in the above figure reflect the properties for which figure?

Choose One:

rectangle

kite

rhombus

square

Question: 43


Question 43:

Which of the following nets forms a cube?

Choose One:

Question: 44


Question 44:

What is the slope of the following line?

-5y - 3x = -10

Choose One:

-3

-

3

Question: 45

Polygons

Question 45:

Which regular polygon has an exterior angle measure of 60°?

Choose One:

quadrilateral

pentagon

hexagon

octagon

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Plato Mock Test Geometry