AnswersGeometry B - WCPHSCumulative Exam

Cumulative Exam — Cumulative exam Answers

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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
2
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Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

Question illustration
A
cos(53o) =
Option A
B
cos(53o) =
Option B
C
cos(53o) =
Option C
D
cos(53o) =
Option D
3

Point F is on circle C.

Question illustration
A
12.5 units
B
15.0 units
C
17.5 units
D
20.0 units
4

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
5

Which statements must be true about the two congruent, shaded figures? Select two options.

A
The figures are rectangles because they are formed inside a rectangle.
B
The figures are rhombi because they are formed by four congruent line segments.
C
The figures are trapezoids because each has exactly one pair of parallel sides.
D
The figures are parallelograms because their opposite sides are parallel.
E
The figures are quadrilaterals because each has four sides.
6

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
7

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
8

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
10
B
12
C
13
D
14
9

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
10

Law of sines:

Question illustration
A
No triangles can be formed.
B
One triangle can be formed where angle B is about 15°.
C
One triangle can be formed where angle B is about 40°.
D
Two triangles can be formed where angle B is 40° or 140°.
11

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
12

A parabola can be represented by the equation y2 = 12x.

A
y = –3
B
y = 3
C
x = –3
D
x = 3
13

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°
14

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°
15

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
43°
B
49°
C
53°
D
58°
16

Law of sines:

Question illustration
A
c = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction
Option A
B
c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
Option B
C
c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction
Option C
D
c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
Option D
17

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
18

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

Question illustration
A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
C
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
D
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
19

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

Question illustration
A
53°
B
74°
C
106°
D
180°
20

A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

Question illustration
A
π(4.53) – (4.5)3
Option A
B
(9)3 – π(4.52)
Option B
C
π(4.53) – (9)3
Option C
D
(9)3 – π(4.53)
Option D

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