AnswersEAP-Geometry B CREquation of a Circle

Equation of a Circle — Cumulative exam Answers

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On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).

Question illustration
A
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
B
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
C
The area of parallelogram 1 is equal to the area of parallelogram 2.
D
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
2
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On a coordinate plane, rhombus W X Y Z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2).

Question illustration
A
16 units
B
20 units
C
24 units
D
28 units
3

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

A regular hexagon is shown.

Question illustration
A
4 in.
B
5 in.
C
9 in.
D
11 in.
5

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
6

Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees.

Question illustration
A
45°
B
65°
C
115°
D
135°
7

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees.

Question illustration
A
140°
B
150°
C
160°
D
170°
8

An oblique prism has a square base and height of 3 centimeters.

Question illustration
A
30 cm3
B
45 cm3
C
60 cm3
D
75 cm3
9

A carpenter cuts the corners of a rectangle to make the trapezoid shown.

Question illustration
A
5.375
B
5.5
C
11
D
13
10

Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

Question illustration
A
82°
B
100°
C
106°
D
118°
11

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm.What are the lengths of two adjacent sides of the parallelogram?

A
2 cm and 2 cm
B
4 cm and 7 cm
C
7 cm and 9 cm
D
13 cm and 19 cm
12

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.

Question illustration
A
20°
B
30°
C
40°
D
50°
13

An oblique cone has a radius of 5 units and a height of 9 units.

Question illustration
A
117.8 cubic units
B
141.3 cubic units
C
235.5 cubic units
D
282.6 cubic units
14

An oblique square prism is shown.

Question illustration
A
x(x – 2) cubic units
B
x(x +1) cubic units
C
x2(x – 2) cubic units
D
x2(x +1) cubic units
15

Angle G is a circumscribed angle of circle E.

Question illustration
A
x° + x°
B
x° + 90°
C
180° – x°
D
180° – 2x°
16

The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.Which expression represents the volume of the prism, in cubic units?

A
x3 + 9
B
x3 + 3x2
C
x3 + 3x + 3
D
x3 + 6x2 + 9x
17

On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).

Question illustration
A
6 square units
B
9 square units
C
12 square units
D
18 square units
18

The diagram shows the shape of a plot of land that Maria will use for her garden.

Question illustration
A
18 feet
B
30 feet
C
36 feet
D
42 feet
19

Kite ABCD represents a softball field that is being built.

Question illustration
A
40 meters
B
70 meters
C
140 meters
D
218 meters
20

Which statements about the cylinder are true? Select two options.

A
The radius of the cylinder is 2x units.
B
The area of the cylinder’s base is πx2 square units.
Option B
C
The area of the cylinder’s base is πx2 square units.
Option C
D
The height of the cylinder is 2x units.
E
The height of the cylinder is 4x units.

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