AnswersSSCR 26 Geometry BUnit Test

Unit Test — Cumulative exam Answers

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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
22
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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.
23

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
24

Points H and F lie on circle C.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
25

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
26

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

A
14
B
16
C
18
D
20
27

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.
28

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

A
P(pink lemonade | female) = P(pink lemonade) = 0.6.
B
P(female | pink lemonade ) = P(pink lemonade) = 0.3.
C
P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6.
D
P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
29

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
30

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
31

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

A
The sum of P(A) and P(B) is less than P(A or B).
B
The product of P(A) and P(B) is less than P(A or B).
C
The product of P(A) and P(B) is not equal to P(A or B).
D
The sum of P(A) and P(B) is not equal to P(A or B).
32

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
33

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
34

Triangle BDC is isosceles.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

Question illustration
A
3 inches
B
4 inches
C
5 inches
D
6 inches
36

On a coordinate plane, kite W X Y Z has points (1, 1), (3, 4), (5, 1), (3, negative 3).

Question illustration
A
7 square units
B
8 square units
C
14 square units
D
16 square units
37

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.
38

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.

Question illustration
A
20°
B
60°
C
80°
D
100°
39

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
40

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

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