plato mock test geometry
TRANSCRIPT
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
Points, Lines, Angles, and Planes
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
Points, Lines, Angles, and Planes
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
Points, Lines, Angles, and Planes
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
Points, Lines, Angles, and Planes
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
Points, Lines, Angles, and Planes
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
Points, Lines, Angles, and Planes
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
Polyhedra and Other Solids
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
Polyhedra and Other Solids
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
Points, Lines, Angles, and Planes
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
Points, Lines, Angles, and Planes
Question 42:
The diagonals in the above figure reflect the properties for which figure?
Choose One:
rectangle
kite
rhombus
square
Question: 43
Polyhedra and Other Solids
Question 43:
Which of the following nets forms a cube?
Choose One:
Question: 44
Points, Lines, Angles, and Planes
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