Question 1(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
One leg of a right triangle is 8 units long, and its hypotenuse is 14 units long. What is the length of the other leg? Round to the nearest whole number.
11 units
13 units
18 units
22 units
Question 2(Multiple Choice Worth 2 points)
(Interior and Exterior Angles LC)
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 34.15°. What is the measure of ∠P?
145.85°
57.45°
34.15°
72.925°
Question 3(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length of the line segment shown.
line segment from negative 3 comma 10 to 4 comma negative 1
13 units
12 units
7 units
3 units
Question 4(Multiple Choice Worth 2 points)
(Polygon Angle Sums MC)
A regular polygon has 25 sides. If one of its angles measures (6h − 15)°, what is the value of h?
h = 6.7
h = 16.7
h = 30.1
h = 33.8
Question 5(Multiple Choice Worth 2 points)
(Angle Relationships LC)
Angles A and B are supplementary. Determine the measure of angle A if the measure of angle B is 109.6°.
250.4°
63.2°
70.4°
19.6°
Question 6(Multiple Choice Worth 2 points)
(Angle Relationships MC)
Two angles are complementary to each other. One angle measures 26°, and the other angle measures (10x − 11)°. Determine the value of x.
2.6
5.6
7.5
24.5
Question 7(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the distance between the points (−4, −5) and (8, 0).
13 units
12 units
8 units
29 units
Question 8(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
In triangle EFG, m∠E = 95.2° and m∠F = 43.7°. Determine the measure of the exterior angle to ∠G.
138.9°
84.8°
51.5°
41.1°
Question 9(Multiple Choice Worth 2 points)
(Angle Relationships MC)
The following angles are supplementary to each other.
m∠A = (3x + 21)° and m∠B = (6x − 21)°
Determine x.
10
20
36
60
Question 10(Multiple Choice Worth 2 points)
(Pythagorean Theorem LC)
Determine which set of side measurements could be used to form a right triangle.
square root of 19 comma square root of 35 comma 54
square root of 15 comma 6 comma square root of 51
5, 8, 30
5, 6, 7
Question 11(Multiple Choice Worth 2 points)
(Pythagorean Theorem LC)
Determine which set of side measurements could be used to form a triangle.
2, 6, 10
3, 18, 22
7, 13, 16
8, 7, 19
Question 12(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
For triangle XYZ, m∠X = (7g + 12)° and the exterior angle to ∠X measures (2g + 60)°. Find the measure of ∠X and its exterior angle.
Interior angle = 49°; exterior angle = 131°
Interior angle = 131°; exterior angle = 49°
Interior angle = 96°; exterior angle = 84°
Interior angle = 84°; exterior angle = 96°
Question 13(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 9 feet of fence for the shortest side and 15 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?
12 feet
16 feet
36 feet
38 feet
Question 14(Multiple Choice Worth 2 points)
(Polygon Angle Sums LC)
Find the sum of the interior angles of a 12-sided polygon.
1,080°
1,800°
2,100°
2,160°
Question 15(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (1 −1), and Monique's desk is located at (−4, 5). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 7 feet
square root of 14 feet
square root of 85 feet
square root of 61 feet
