Similar Triangles
Circles
Lines & Angles
Area & Volume
Trigonometry
100
In the figure shown, triangle JKL is similar to triangle RST, where J corresponds to R and K corresponds to S. The length of JK is 15, and the perimeter of triangle JKL is 36. The length of RS is 135. What is the perimeter of triangle RST?
A) 324 B) 540
C) 2,916 D) 8,100
A) 324
100
The circle above with center O has a circumference of 36. What is the length of minor arc AC?
A) 9 B) 12 C) 18 D) 36
A) 9
100
In the figure, line m is parallel to line n. What is the value of w?
A) 17 B) 30
C) 70 D) 170
D) 170
100
A rectangle has a length of 13 and a width of 6. What is the perimeter of the rectangle?
A) 12 B) 26
C) 38 D) 52
C) 38
100
Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D, and angles C and F are right angles. If cosB=1/22 , what is the value of cos E?
A) 1/22 B) 1/23
C) 21/22 D) 22/23
A) 1/22
200
Triangle ABC and triangle DEF are similar triangles, where AB and DE are corresponding sides. If DE = 2AB and the perimeter of triangle ABC is 20, what is the perimeter of triangle DEF?
A) 10 B) 40
C) 80 D) 120
B) 40
200
(x-6)^2+(y-3)^2=81
The graph of the given equation in the xy-plane is a circle. What is the length of the radius of this circle?
A) 3 B) 6 C) 9 D) 81
C) 9
200
In /_\XYZ , the measure of angleX is 24^o and the measure of angleY is 98^o . What is the measure of angleZ?
A) 58^o B) 74^o
C) 122^o D) 212^o
A) 58^o
200
Each base of a right rectangular prism has a length of 19 inches and a width of 8 inches. The prism has a volume of 2,736 cubic inches. What is the height, in inches, of the prism?
A) 18 B) 27
C) 144 D) 152
A) 18
200
Triangle XYZ shown is a right triangle. Which of the following has the same value as sin X?
A) tan X B) tan Y
C) cos X D) cos Y
D) cos Y
300
In the figure above, segments AE and BD are parallel. If angle BDC measures 58° and angle ACE measures 62°, what is the measure of angle CAE?
A) 58^o B) 60^o
C) 62^o D) 120^o
B) 60^o
300
What is the center of the circle in the xy-plane defined by the equation (x-1)^2+(y+7)^2=1 ?
A) (-1, -7) B) (-1, 7) C) (1, -7) D) (1, 7)
C) (1, -7)
300
In triangle ABC, the measure of angle A is 50^o . If triangle ABC is isosceles, which of the following is NOT a possible measure of angle B?
A) 50^o B) 65^o
C) 80^o D) 100^o
D) 100^o
300
A circle has a circumference of 31pi centimeters. What is the diameter, in centimeters, of the circle?
31
300
The length of a rectangle’s diagonal is 5sqrt17 , and the length of the rectangle’s shorter side is 5. What is the length of the rectangle’s longer side?
A) sqrt17 B) 20
C) 15sqrt2 D) 400
B) 20
400
In the figure shown, triangle CAE is similar to triangle CBD. The measure of angle CBD is 57^o , and AE = 26(BD). What is the measure of angle CAE?
A) (26*57)^o B) (26+57)^o
C) 57^o D) 26^o
C) 57^o
400
An angle has a measure of (9pi)/20 radians. What is the measure of the angle in degrees?
81
400
Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 69^o. What is the measure, in degrees, of angle F?
21
400
A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of container A is 16 centimeters, and the radius of container B is 25% longer than the radius of container A. What is the volume, in cubic centimeters, of container B?
A) 16,000pi B) 20,000pi
C) 25,000pi D) 31,250pi
B) 20,000pi
400
In the right triangle shown above, what is the length of PQ?
4
500
In the figure above, what is the length of NQ?
A) 2.2 B) 2.3 C) 2.4 D) 2.5
C) 2.4
500
(x-6)^2+(y+5)^2=16
In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If PQ is a diameter of the circle, what are the coordinates of point Q?
A) (2, -5) B) (6, -1) C) (6, -5) D) (6, -9)
A) (2, -5)
500
A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of these eight angles is (7x-250)^o . The sum of the measures of four of the eight angles is k^o . Which of the following could NOT be equivalent to k, for all values of x?
A) -14x+1540 B) 14x-320
C) -28x+1720 D) 360
A) -14x+1540
500
A rectangular poster has an area of 360 square inches. A copy of the poster is made in which the length and width of the original poster are each increased by 20%. What is the area of the copy, in square inches?
2592/5 or 518.4
500
In a right triangle, the tangent of one of the two acute angles is sqrt3/3 . What is the tangent of the other acute angle?
A) -sqrt3/3 B) -3/sqrt3
C) sqrt3/3 D) 3/sqrt3
D) 3/sqrt3