AnswersTN-Geometry BCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
A = {MOPN, PMON}
B
A = {OPMN, OMPN}
C
A = {MOPN, MPON, OPMN, POMN}
D
A = {MOPN, MPON, PMON, POMN}
2
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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
3

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.
4

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
5

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
6

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
7

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

A
4
B
6
C
10
D
15
8

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

Question illustration
A
0.3
B
0.4
C
0.7
D
0.8
9

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°
10

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
11

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
12

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.
13

Triangle FGH is an equilateral triangle with sides measuring units.

Question illustration
A
17 units
B
34 units
C
51 units
D
68 units
14

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

A
14%
B
17%
C
55%
D
67%
15

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
16

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

Question illustration
A
43°
B
49°
C
53°
D
58°
17

The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

Question illustration
A
18%
B
22%
C
35%
D
82%
18

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.
19

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

Question illustration
A
10
B
12
C
13
D
14
20

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

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