1

A circle O has radius 8, angle XOY measures \$5/16 \pi\$radians.What is the measure of minor arc XY?

A) \$5/2\$radians

B) \$2/5 π\$radians

C) \$5/2 π\$ radians

D) \$4/5 π\$radians

2

In the figure above, 0 is the center of the circle and OM is a radius. If the measure of angle OMN is 30°, then the length of minor arc MN is what fraction of the circumference of circle 0?

A) \$1/3\$

B) \$1/2\$

C) \$3/2\$

D) \$4/6\$

3

The triangle has a base to height ratio of 5:3. If the area of the triangle is 180 cm², what are the base and height?

A) \$b = 5\sqrt6, h = 6\sqrt6\$

B) \$b = 5\sqrt6, h = 6\sqrt3 \$

C) \$b = 5\sqrt6, h = 6\sqrt5 \$

D) \$b = 10\sqrt6, h = 6\sqrt6 \$

4

The angles of the triangle are in the ratio 1:2:3. Find the measure of each angle of the triangle. Find the angle of the area of a triangle.

A) \$1/\sqrt2\$

B) \$\sqrt3/2\$

C) \$1/2\$

D) \$2\sqrt3\$

5

In a right triangle, the hypotenuse has a length of 20 and the sine of one angle is \$3/5\$. What is the length of the triangle’s shortest side?

A) 12

B) 15

C) 9

D) 3

6

In the figure shown, AC is perpendicular to BD and AB is perpendicular to BC. What is the length of DC?

A) 6

B) 8

C) 7

D) 4

7

Triangle LOW is shown in the figure above, where segment HI is the bisector of both segments LO and OW. Given that LW = 48 and HI = 5x - 1, what is the value of x?

A) 10

B) 20

C) 5

D) 11

8

If a line segment has endpoints (1,2) and (5,6), and the slope of the line segment is \$3/2\$ , determine if another line segment with endpoints (3,−1) and (−1,5) is perpendicular to it.

A) Yes

B) 0

C) Error in data

D) No

9

In the figure above, RS \$||\$ AM and segment SA intersects segment MR at T. What is the length of AS?

A) 21

B) 23

C) 24

D) 25

10

The center of a circle is located at the point (-3, 5) in the xy-coordinate plane. If the line y + x = 6 is tangent to the circle, what is the area of the circle?

A) \$18\pi\$

B) \$8\pi\$

C) \$\sqrt8\pi\$

D) \$\sqrt18\pi\$