3RD QUARTER

2ND LONG QUIZ

MATHEMATICS 10
1. Given ⨀𝑍, find the measure of ∠𝑀𝑍𝑁.
A. 130° B. 140° C. 150° D. 160°
2. In circle N, if 𝑚∠𝐴𝑁𝑆 = 160°, then what is the 𝑚 |̂ ¿|¿?^
A. 150° B. 165° C. 180° D. 200°
3. In a circle or in congruent circles, two minor arcs are congruent if their corresponding chords are ________.
A. adjacent B. congruent C. parallel D. perpendicular
4. In a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is _________ to the chord.
A. adjacent B. congruent C. parallel D. perpendicular
5. If chords of a circle or of congruent circles are ________ from the center(s), then the chords are congruent.
A. adjacent B. equidistant C. parallel D. perpendicular
6. Which of the following statements is TRUE about sector of a circle?
A. Region bounded by intersecting lines the circle.
B. Region bounded by an arc 180 degrees in measures.
C. Region of the circle bounded by an arc and the segment joining endpoints.
D. Region bounded by an arc of the circle and the two radii to the endpoints of an arc.
7. Which are the steps to follow in finding the area of the segment of the circle?
I. Find the area of the triangle.
II. Finding the area of a sector.
III. Subtract the area of the triangle to the area of the sector.
IV. Identify the given measure of an arc and the radius of the circle.
A. IV, I, II, III B. IV, II, I, III C. I, II, III, IV D. II, IV, I, III
8. the measure of ^ MEO = 150°. Which of the following would be the measure of the central angle MEO?
A. 75° B. 150° C. 300° D. 360°
9. In a circle A, the radius is 10 cm, which of the following would be the area of the circle?
A. 100π cm2 B. 110 π cm2 C. 115 π cm2 D.120 π cm2
10. In the figure, AD is a diameter of ⨀𝑋. If ∠𝐴𝑋𝐵 ≅ ∠𝐶𝑋𝐷, which of the following relationship is true?
A. ∠𝐴𝑋𝐵 ≅ ∠𝐵𝑋𝐶 B. ∠𝐵𝑋𝐶 ≅ ∠𝐶𝑋𝐷 C. ^AB= ≅ ^ BC D. ^
AB= ≅ CD ^
11. In circle E, what is the measure of ∠DEF?
A. 135° B. 105° C. 75° D. 120°
12. In circle E, what is the measure of ^ AF ?
a. 225° B. 210° C. 255° D. 195°
13. In ⨀𝑂 below, AG ≅ BC . If 𝑚 ^ AG = 110°, then what is the 𝑚^BC ?
A. 220° B. 170° C. 110° D. 55°
14. In ⨀𝑅, UW = 5𝑥 − 3 and VW = 7𝑥 − 23, what is the value of x.
A. 15 B. 12 C. 10 D. 8
15. In circle E, if 𝑚∠𝐴𝐷𝐵 = 40°, what is 𝑚 AB ? ^
A. 20° B. 80° C. 40° D. 90°
16. In circle E, if 𝑚∠𝐴𝐵𝐷 = 44°, what is 𝑚∠𝐴𝐶𝐷?
A. 44° B. 88° C. 22° D. 46°
17.Using the star inscribed in a circle on the right, if m∠𝐷𝐴𝐸 = 89°,𝑚∠𝐵𝐶𝐷 = 15°, and ^ BD? ≅ CE ^ ?, what is m ^
BC ?
A. 122° B. 211° C. 152° D. 178°
18. 𝑚∠𝐷𝐴𝐸 = 89°, 𝑚∠𝐵𝐶𝐷 = 15°, and ^ BD? ≅ CE ^ ?, what is 𝑚∠𝐶𝐵𝐸
A. 15° B. 30° C. 89° D. 178°
19. What is mCE ^ ?,
A. 15° B. 30° C. 89° D. 178°
20. What angle is inscribed in a semicircle?
A. acute B. central C. inscribed D. right
21. The opposite angles of an inscribed quadrilateral in a circle are ________ ?
A. complementary B. congruent C. opposing D. supplementary
22. What s the measure of ∠SAD in circle R?
A. 110° B. 55° C. 65° D. 90°
^
23. What is the measure of SD in circle R?
A. 110° B. 55° C. 65° D. 90°
24. Quadrilateral COVI is inscribed in ⊙ 𝐷, if 𝑚∠𝐶𝑂𝑉 = 85°, and 𝑚∠𝑂𝑉𝐼 = 75°, what is 𝑚∠𝑉𝐼𝐶.
A. 90° B. 94° C. 95° D. 100°
25. Find 𝑚∠𝐼𝐶𝑂.
A. 85° B. 90° C. 95° D. 105°
PROBLEM SOLVING

1. Find the area of the shaded segment.