Download MATH-G Exam [E-1R2V91] BRH-Spencer

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MATH-G
BRH-Spencer-Geometry Quarter 3 Review
Exam not valid for Paper Pencil Test Sessions
[Exam ID:1R2V91
1
Which lists the angles of the triangle in order from least to greatest?
A
B
C
D
∠P, ∠R, ∠Q
∠P, ∠Q, ∠R
∠R ,∠Q, ∠P
∠Q, ∠P, ∠R
2
Which of the following could not be the lengths of the sides of a triangle?
A 5 km, 2 km, 4 km
B 3 cm, 4 cm, 5 cm
C 4 in., 6 in., 8 in.
D 6 ft, 3 ft, 9 ft
3
Which of the following sets of lengths can represent the measures of the sides of a right triangle?
A 20, 21, 28
B 9, 12, 14
C 6, 10, 12
D 6, 8, 10
4
Determine the type of triangle with the following sides: 5cm, 10cm, and 6cm
A right
B obtuse
C equilateral
D acute
5
Mr. Ammons is constructing a walkway through his rectangular garden. The walkway runs diagonally as shown in the diagram. Which is closest to the length of the walkway?
A 28.3 ft
B 18.7 ft
C 39.0 ft
D 30.0 ft
6
Find sine G and cosine I 2 , cosine I = 2
√ 3 B sine G = 2√3, and cosine I = 2√3
√ 3 √ 3 C sine G = , and cosine I = 2 2 1 D sine G = 2√3, and cosine I = 2 A sine G = 7
Which trigonometric function would you use to find RT using the m∠ R and ST ? A
B
C
D
Sine
Tangent Secant
Cosine
8
For the triangle represented by the above drawing, what is the length of A 15√3
B 15√2
C 7.5√2
D 7.5√3
?
9
Given: Δ QRS where m ∠
∠ Q = 20° and m ∠
∠ S = 90° What is the length, to the nearest meter, of RS ?
A 500 m
B 364 m
C 940 m
D 342 m
10 Find the length of the hypotenuse. Give you answer in simplest radical form where appropriate.
A
B
C
D
8√ 3
12√2
24
4√ 3
11 What is the length of the hypotenuse to the nearest hundredth place in the diagram below? A
B
C
D
7.34
2.60
6.16
4.77
12 A person in a 300 foot tall lighthouse is attempting to locate a boat floating in the water 720 feet from the bottom of the lighthouse. At what angle of depression should the light be shown to locate the boat?.
A 67.4°
B 65.4°
C 22.6°
D 24.6°
13 Directions: Type your answer in the box.
Randy is flying a kite in which the length of the line to the kite is 88 feet long. If the height measurement shown of the kite is 56 feet, what is the angle of elevation? Round your answer to the nearest whole degree.
°
14 In circle R , the degree measure of arc SMT is 175°. What is the degree measure of ∠
∠ SRT ?
A 175°
B 145°
C 5°
D 185°
15
What is the measure of ∠
∠ 1?
A 63°
B 27°
C 54°
D 18°
16
If m∠
∠ AOB = 45° in circle O, what is m∠
∠ ACB ?
A 45°
B 90°
C 22.5°
D 67.5°
17 Which statement is always true for a quadrilateral inscribed inside a circle?
A Diagonals are congruent
B Opposite angles are equal
C Opposite angles are supplementary
D All angles equal 90 degrees
18 Directions: Click on a box to choose each equation you want to select. You must select all correct equations.
Identify each equation that represents a circle with a diameter length of 16.
(x + 4)2 + (y + 4)2 = 16
(x + 8)2 + (y + 8)2 = 16
(x - 2)2 + (y + 8)2 = 64
(x - 1)2 + (y + 2)2 = 64
(x - 16)2 + (y - 16)2 = 8
19 In circle C, AB = 32 inches and CD = 12 inches. What is the length of AC ?
A 34.2 in
B 7.2 in
C 29.7 in
D 20.0 in
20 Secants PB and PD intersect the circle at A and C, respectively. What is the length of PC ?
A 3
B 6
C 4
D 5
21 Directions: Click on a box to choose a statement you want to select. You must select all correct statements.
Given circle O, identify the true statements.
∠ TRW = 98°
∠ ROS = 86°
∠ RWT = 130°
∠ ROT = 130°
∠ SOT = 144°
∠ RTS = 43°
22 QR is a radius of circle R, and PQ is a tangent to circle R. Find the value of x. Round your answer to the nearest whole number. 23 Write an equation for a circle that has a center at (–8, –5) and a point on the circle at (–1, 1).
A (x + 8)2 + (y + 5)2 = -85
B (x + 8)2 + (y - 5)2 = 85
C (x - 8)2 + (y - 5)2 = 85
D (x + 8)2 + (y + 5)2 = 85
24 QR is a radius of circle R, and PQ is a tangent to circle R. Find the value of x. A
B
C
D
1.84
5.6
2.44
7.5
25 Solve for the value of x. 5 2 B 2.24
C none of these options
D 1
A -
26 Find the value of x. degrees
27 Find the measure of angle A. A 2340
B 630
C 1260
D 540
28 Find the measure of arc AC. degrees
29 Find the measure of angle x. degrees
30 Find the value of x. 31 Chords WP and KZ intersect at point L in the circle shown. What is the length of KZ ?
A 7.5
B 9
C 10
D 12
32 If the measure of arc KM is 112 degrees, find the measure of arc LM. degrees
33 The equation (x - 1)2 + (y - 3)2 = r 2 represents circle A . The point B (4, 7) lies on the circle. What is r , the length of the radius of a circle A ?
A
B
C
D
√13
5
5 √5
√137
34 Select all the statements which are true of circle W. 35 Find the measure of arc KM. degrees
36 Find RS.