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Grade 10 Exam in Mathematics on Circles by Science High School
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To be recorded as WRITTEN WORK. (20 pts.) A. DIRECTIONS: Read and analyze each item carefully. Write the letter of the correct answer on the blank. (1 point each) ____ 1. Which line intersects a circle at exactly one point? A. chord C. secant B. radius D. tangent ____2. What is contained by every secant? A. chord C. ray B. radius D. vertex ____3. Which point is the intersection of a circle and a tangent? A. point of contact C. both a and b B. point of tangency D. neither a nor b ____4. What if a line is drawn perpendicular to a radius of a circle at its outer point? A. It is a chord. C. It is tangent to the circle. B. It is secant to the circle. D. none of these ___5. Which is a part of a line connecting the point of contact and a point outside the circle? A. external secant segment C. tangent segment B. secant segment D. none of these ___6. What part of a line joins the point outside the circle and the farther intersection point of the secant and the circle? A. external secant segment C. tangent segment B. secant segment D. none of these ___7. Which part of a line joins the point outside the circle and the nearer intersection point of the secant and the circle? A. external secant segment C. tangent segment B. secant segment D. none of these ___8. How many lines tangent to the circle can be drawn from the same external point of the circle? A. 1 B. 2 C. 3 D. 4 ___ 9. What can you say about the segments that are drawn from the external point of a circle? A. They are congruent. C. One is twice the other. B. They are different. D. One is half the other. ___10. When circles intersect at exactly one point, then what are they called? A. circumscribed circles C. inscribed circles B. congruent circles D. tangent circles B. Directions: On the blank provide before each number, write T if the underlined word/words makes/make the statement true; otherwise, write the correct answer. (2 points each)
To be recorded as WRITTEN WORK. (20 pts.) A. DIRECTIONS: Read and analyze each item carefully. Write the letter of the correct answer on the blank. (1 point each) ____ 1. Which line intersects a circle at exactly one point? A. chord C. secant B. radius D. tangent ____2. What is contained by every secant? A. chord C. ray B. radius D. vertex ____3. Which point is the intersection of a circle and a tangent? A. point of contact C. both a and b B. point of tangency D. neither a nor b ____4. What if a line is drawn perpendicular to a radius of a circle at its outer point? A. It is a chord. C. It is tangent to the circle. B. It is secant to the circle. D. none of these ___5. Which is a part of a line connecting the point of contact and a point outside the circle? A. external secant segment C. tangent segment B. secant segment D. none of these ___6. What part of a line joins the point outside the circle and the farther intersection point of the secant and the circle? A. external secant segment C. tangent segment B. secant segment D. none of these ___7. Which part of a line joins the point outside the circle and the nearer intersection point of the secant and the circle? A. external secant segment C. tangent segment B. secant segment D. none of these ___8. How many lines tangent to the circle can be drawn from the same external point of the circle? A. 1 B. 2 C. 3 D. 4 ___ 9. What can you say about the segments that are drawn from the external point of a circle? A. They are congruent. C. One is twice the other. B. They are different. D. One is half the other. ___10. When circles intersect at exactly one point, then what are they called? A. circumscribed circles C. inscribed circles B. congruent circles D. tangent circles B. Directions: On the blank provide before each number, write T if the underlined word/words
makes/make the statement true; otherwise, write the correct answer. (2 points each) ___1. Two circles are internally tangent, when one of the tangent circles lies outside the other. ___2. The point of tangency lies on the line of intersection. ___3. A common internal tangent lies between two circles and intersects the segment joining the centers of the two circles. ___4. If a line is tangent to a circle, then it is congruent to the radius drawn to the point of tangency. ___5. If two tangents intersect at the interior of a circle, then the measure of the angle forms is one-half the positive difference of the intercepted arcs. To be recorded as PERFORMANCE TASKS. (15 pts.) C. Directions: Carefully analyze each item before solving. (3 points each)