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Question 1(Multiple Choice Worth 2 points)

(Pythagorean Theorem LC)

Determine which set of side measurements could be used to form a right triangle.

3, 5, 8
8, 9, 11
square root of 7 comma 4 comma square root of 23
square root of 29 comma square root of 39 comma 68
Question 2(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 (5, −1), and Monique's desk is located at (−2, 4). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?

square root of 10 feet
square root of 72 feet
square root of 74 feet
square root of 100 feet
Question 3(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 4(Multiple Choice Worth 2 points)

(Interior and Exterior Angles MC)

For triangle XYZ, m∠X = (5g + 18)° and the exterior angle to ∠X measures (8g + 32)°. Find the measure of ∠X and its exterior angle.

Interior angle = 68°; exterior angle = 112°
Interior angle = 112°; exterior angle = 68°
Interior angle = 73°; exterior angle = 105°
Interior angle = 105°; exterior angle = 73°
Question 5(Multiple Choice Worth 2 points)

(Pythagorean Theorem LC)

Determine which set of side measurements could be used to form a triangle.

9, 13, 21
8, 9, 18
3, 18, 21
2, 5, 9
Question 6(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 7(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 6 feet of fence for the shortest side and 10 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?

8 feet
24 feet
26 feet
28 feet
Question 8(Multiple Choice Worth 2 points)

(Angle Relationships MC)

The following angles are supplementary to each other.

m∠A = (4x + 30)° and m∠B = (2x − 30)°

Determine x.

15
20
30
60
Question 9(Multiple Choice Worth 2 points)

(Pythagorean Theorem MC)

One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.

9 units
10 units
14 units
23 units
Question 10(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 121.3°.

238.7°
31.3°
53.7°
58.7°
Question 11(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 12(Multiple Choice Worth 2 points)

(Pythagorean Theorem and the Coordinate Plane MC)

Determine the length of the line segment shown.

line segment from negative 10 comma 9 to 5 comma negative 1

4 units
18 units
19 units
21 units
Question 13(Multiple Choice Worth 2 points)

(Angle Relationships MC)

Two angles are complementary to each other. One angle measures 18°, and the other angle measures (8x − 28)°. Determine the value of x.

12.5
20
44.5
16
Question 14(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 15(Multiple Choice Worth 2 points)

(Pythagorean Theorem and the Coordinate Plane MC)

Determine the distance between the points (−3, −6) and (5, 0).

22 units
10 units
8 units
5 units