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Math-10-ST1-3RD-Q (1)

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Mathematics 10

Summative Test #1

Name: Date:

Grade and Section: Score: /40

GENERAL INSTRUCTIONS:
Read and answer the questions carefully. Write your answers neatly.

I. Multiple Choice. Choose the letter of the correct answer. If the answer is not in the
choices, write your answer in the space provided. (10 points)

____ 1. Which of the following best describes a central angle?


A. An angle formed by two radii of a circle.
B. An angle formed by a tangent and a chord of a circle.
C. An angle formed outside the circle.
D. An angle formed by two chords of a circle.

____ 2. What is the relationship between the measure of a central angle and the arc it subtends?
A. The central angle is twice the arc measure.
B. The central angle is equal to the arc measure.
C. The central angle is half the arc measure.
D. There is no direct relationship.

____ 3. What is the measure of the central angle subtended by a semicircle?


A. 90° B. 180° C. 270° D. 360°

____ 4. What is the formula to calculate the length of an arc?

A.
B.
C.
D.

1
____ 5. What is the central angle for an arc that represents of the circle's circumference?
5
A. 60° B. 72° C. 90° D. 120°

____ 6. What do you call an angle formed by two chords that share a common endpoint?
A. Central B. Vertex C. Inscribed D. Vertical

____ 7. What is the measure of an inscribed angle that intercepts a semicircle?


A. 45° B. 60° C. 90° D. 180°
____ 8. If an inscribed angle measures 35°, what is the measure of its intercepted arc?
A. 17.5° B. 35° C. 70° D. 140°

____ 9. A quadrilateral is inscribed in a circle. What is true about its opposite angles?
A. They are equal.
B. They are complementary.
C. They are supplementary.
D. They are congruent to the adjacent angles.

____ 10. What do all inscribed angles that intercept the same arc have in common?
A. They are complementary.
B. They are congruent.
C. They are supplementary.
D. They are all acute angles.

II.
(2 points each)

III. Find the measure of each bolded arc. Solve the following in terms of pi. (2 points each)

IV. Find the unknown measure of the following. (2 points each)


1. 3.

2. 4.

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