AnswersEAP-Geometry B CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

Question illustration
A
m = 54o and m = 54o
Option A
B
m = 84o and m = 96o
Option B
C
m = 90o and m = 90o
Option C
D
m = 96o and m = 84o
Option D
22
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A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Question illustration
A
50
B
55
C
125
D
145
23

Consider kite FGHJ.

Question illustration
A
a = 14, b = 6
B
a = 14, b = 8
C
a = 17, b = 6
D
a = 17, b = 8
24

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

Question illustration
A
radians
Option A
B
centimeters
Option B
C
radians
Option C
D
radians
Option D
25

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

A
The slant height of the larger cone is equal to the slant height of the smaller cone.
B
The slant height of the larger cone is double the slant height of the smaller cone.
C
The slant height of the larger cone is 4 times the slant height of the smaller cone.
D
The slant height of the larger cone is 8 times the slant height of the smaller cone.
26

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

A
2 units
B
4 units
C
8 units
D
16 units
27

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

A
2 units
B
4 units
C
6 units
D
8 units
28

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).

Question illustration
A
The area of △ABC is 1 square unit less than the area of △DEF.
B
The area of △ABC is equal to the area of △DEF.
C
The area of △ABC is 1 square unit greater than the area of △DEF.
D
The area of △ABC is 2 square units greater than the area of △DEF.
29

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

Question illustration
A
20 units
B
24 units
C
40 units
D
48 units
30

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

Question illustration
A
4 units
B
7 units
C
12 units
D
23 units
31

In circle O, AC and BD are diameters.

Question illustration
A
72°
B
108°
C
120°
D
144°
32

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

Question illustration
A
32 units
B
44 units
C
56 units
D
64 units
33

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

Question illustration
A
36
Option A
B
72
Option B
C
144
Option C
D
324
Option D
34

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3).

Question illustration
A
The area of △RST is 2 square units less than the area of △LMN.
B
The area of △RST is equal to the area of △LMN.
C
The area of △RST is 2 square units greater than the area of △LMN.
D
The area of △RST is 4 square units greater than the area of △LMN.
35

The volume of a cone is 3πx3 cubic units and its height is x units.Which expression represents the radius of the cone’s base, in units?

A
3x
B
6x
C
3πx2
D
9πx2
36

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Question illustration
A
288 cm2
B
342 cm2
C
432 cm2
D
691 cm2
37

Triangle BDC is isosceles.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
38

Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.

Question illustration
A
The area of EFGH is of the area of the rectangle if E and G are not midpoints.
Option A
B
The area of EFGH is of the area of the rectangle only if E and G are midpoints.
Option B
C
The area of EFGH is always of the area of the rectangle.
Option C
D
The area of EFGH is always of the area of the rectangle.
Option D
39

Circle Y is shown. Chords R T and S U intersect at a point. Arc S R is 55 degrees and the angle that intercepts that arc is 63 degrees.

Question illustration
A
59°
B
67°
C
71°
D
118°
40

Figure PQRS is a parallelogram.

Question illustration
A
∠P = 20°; ∠S = 160°
B
∠P = 40°; ∠S = 140°
C
∠P = 140°; ∠S = 40°
D
∠P = 160°; ∠S = 20°

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