Cumulative Exam Geometry TEST 90%
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. Which expression represents the volume of the pyramid?
1/3n^2(n − 1) units3
The measure of central angle QRS is 8π/9 radians. What is the area of the shaded sector?
144π units^2
What is the length of line segment LJ? 9 units 12 units 15 units 18 units
15 units
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
18
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?
3x
What is the perimeter of rhombus WXYZ? (sqr.root)13 units 12 units 4(sqr.root)13 20 units
4(sqr.root)13
What is the perimeter of rectangle JKLM? 32 units 44 units 56 units 64 units
56 units
A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids. The volume of the prism is 234 cubic units. What is the height of the prism?
6 units
Rectangle ABCD was dilated to create rectangle A'B'C'D. What is AB?
6 units
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?
6 units
In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15. What is the length of line segment EB?
65 units
Which three-dimensional figure has half the number of vertices as the rectangular prism?
triangular pyramid
What is the length of line segment DG? 4 units 7 units 12 units 23 units
12 units
Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number. Which equation correctly uses the value of x to represent
cos(53o) = y/5
A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches. What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.
1,159 square inches
The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm. What is the approximate difference between m∠C and m∠A?
44.8°
Point Q lies on the circle and has an x-coordinate of 4. Which value could be the y-coordinate for point Q?
2(sqr.root)5
For the triangles to be similar by the SSS similarity theorem, what must be the value of y? 18 20 24 26
20
A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for π.
23 in.
Which expression is equivalent to the area of square A, in square centimeters?
25^2+45^2
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?
2π more meters
What is the length of SA? 1.89 ft 2.43 ft 3 ft 7 ft
3 ft
If the legs of an isosceles right triangle have a length of 15(sqr.root)2 ft, what is the length of the hypotenuse?
30 feet
A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent. What is the probability that a student chooses drama as an elective?
7 percent
A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probability that the committee consists of all boys?
70/1001
In circle Y, what is mTU?
71°
Which value of x would make NO || KJ?
8
In circle Y, what is m∠SZT? 86° 94° 108° 128°
94°
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown. What is the surface area of the figure? Express the answer in terms of.
96 + 64π cm2
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?
The product of P(A) and P(B) is not equal to P(A or B).
One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?
x = 36
Which piece of additional information can be used to prove that △RST ~ △VUT? RT = ST 3ST = UT ∠R ≅ ∠V ∠V ≅ ∠U
∠R ≅ ∠V
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles. What type of triangle is created by the three cities?
an acute triangle, because 222 + 512 >542
What are the missing angle measures in triangle ABC? 1.4° and 88.6° 18.6° and 71.4° 35.5° and 54.5° 44.4° and 45.6°
c
In the diagram, the ratios of two pairs of corresponding sides are equal. To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that ∠N ≅ ∠Z ∠N ≅ ∠X ∠L ≅ ∠Z ∠L ≅ ∠Y
∠N ≅ ∠Z
Figure PQRS is a parallelogram. What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°
∠P = 140°; ∠S = 40°
An oblique prism has trapezoidal bases and a vertical height of 10 units. Which expression represents the volume of the prism?
30x2 cubic units
What is the approximate area of the regular pentagon? 288 cm2 342 cm2 432 cm2 691 cm2
342 cm2
Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?
C
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is 3/4 the distance from Tia's home to Lei's home. Where is the fruit market?
10th Street and 17th Avenue
What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?
4 units
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?
4/7
Triangle FGH is an equilateral triangle with sides measuring 34(sqr.root)3 units. What is the height of the triangle?
51 units
