AnswersNY-Geometry Term 2 HillcrestCumulative Exam

Cumulative Exam — Cumulative exam Answers

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On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

Question illustration
A
units
Option A
B
12 units
C
units
Option C
D
20 units
3
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Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.rectangular prismtriangular prismcylinderconesquare pyramidtriangular pyramid

A
rectangular prism
B
triangular prism
C
cylinder
D
cone
E
square pyramid
F
triangular pyramid
4

What is true about △ABC? Select three options

A
AB ⊥ AC
B
The triangle is a right triangle.
C
The triangle is an isosceles triangle.
D
The triangle is an equilateral triangle.
E
BC ∥ AC
5

If the legs of an isosceles right triangle have a length of ft, what is the length of the hypotenuse?

Question illustration
A
7.5 feet
B
feet
Option B
C
feet
Option C
D
30 feet
6

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
7

Which statements about the design are true? Select three options.

A
Each sprinkler head is placed more than 3 feet from the walkway.
B
If two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered.
C
The total area watered by each sprinkler is approximately 63.6 square feet.
D
The total area watered by all the sprinklers is approximately 254 square feet.
E
If the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
8

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
9

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)Area of a circle = πr2

A
0.02 bacteria per square millimeter
B
0.42 bacteria per square millimeter
C
2.39 bacteria per square millimeter
D
52.5 bacteria per square millimeter
10

Which three-dimensional figure has half the number of vertices as the rectangular prism?

A
hexagonal prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
12

An oblique prism has trapezoidal bases and a vertical height of 10 units.

Question illustration
A
10x3 cubic units
B
15x2 cubic units
C
20x3 cubic units
D
30x2 cubic units
13

On a coordinate plane, a circle has a center at (negative 2, 1).

Question illustration
A
x2 + y2 + 4x – 2y – 4 = 0
B
x2 + y2 + 4x – 2y + 2 = 0
C
x2 + y² – 4x + 2y – 4 = 0
D
x2 + y² – 4x + 2y + 2 = 0
14

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
15

The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.

Question illustration
A
n(n − 1) units3
Option A
B
n(n − 1)2 units3
Option B
C
n2(n − 1) units3
Option C
D
n3(n − 1) units3
Option D
16

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.What is the length of line segment XY? Round to the nearest tenth.

A
8.2 cm
B
8.7 cm
C
22.6 m
D
25.5 cm
17

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

Question illustration
A
1.4° and 88.6°
B
18.6° and 71.4°
C
35.5° and 54.5°
D
44.4° and 45.6°
18

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

Question illustration
A
42 units
B
50 units
C
65 units
D
73 units
19

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.Trigonometric area formula: Area =

Question illustration
A
95 yards
B
107 yards
C
160 yards
D
190 yards
22

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

A
π more meters
B
2π more meters
C
4π more meters
D
5π more meters
23

In circle E, and are diameters. Angle BCA measures 53°.

Question illustration
A
53°
B
74°
C
106°
D
180°
24

Triangle BDC is isosceles.

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

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