Geometry Chapter 10 Quiz
Questions: 16 · 10 minutes
1. Two chords intersect inside a circle. The arcs intercepted by a pair of vertical angles measure 70° and 110°. What is the measure of either of those vertical angles?
90°
55°
40°
180°
2. A line is tangent to a circle at point T, and O is the center. What must be true about radius OT and the tangent line?
They have equal lengths.
They are perpendicular.
They are parallel.
They form a 45° angle.
3. A radius drawn from a circle's center is perpendicular to a chord. What does the radius do to that chord?
Makes the chord tangent to the circle
Bisects the chord
Doubles the chord's length
Makes the chord a diameter
4. A circle is centered at the origin and passes through the point (6, 8). What is its radius?
7 units
8 units
9 units
10 units
5. A quadrilateral is inscribed in a circle. If one interior angle measures 112°, what is the measure of its opposite angle?
112°
78°
56°
68°
6. What is the circumference of a circle with radius 5 units?
5π square units
10π units
25π units
20π units
7. From the same exterior point, a tangent segment has length 12 and a secant has an external segment of length 8. What is the secant's whole length?
20
16
18
24
8. An inscribed angle intercepts an arc measuring 110°. What is the measure of the inscribed angle?
110°
55°
70°
220°
9. In the same circle, chord AB is congruent to chord CD. Which conclusion is guaranteed?
The chords form a diameter.
The chords are parallel.
Their intercepted minor arcs are congruent.
Their endpoints form right angles at the center.
10. A sector has a central angle of 120° in a circle with radius 6 units. What is the sector's area?
12π square units
18π square units
24π square units
6π square units
11. A central angle measures 80°. What is the measure of its intercepted minor arc?
40°
100°
80°
160°
12. Two secants are drawn from the same exterior point. One has an external length of 6 and an internal length of 10. The other has an external length of 8. What is the internal length of the second secant?
8
12
6
4
13. Which point lies on the circle defined by x squared plus y squared equals 49?
The point (2, 5)
The point (4, 4)
The point (5, 5)
The point (0, 7)
14. Two secants meet at a point outside a circle. Their intercepted arcs measure 160° and 60°. What is the measure of the exterior angle?
50°
110°
80°
100°
15. In a circle with radius 9 units, what is the length of an arc corresponding to an 80° central angle?
4π units
8π units
9π units
16π units
16. A circle has a radius of 7 units. What is its diameter?
21 units
7 units
14 units
49 units