Multiple choice exam on circles, Cheat Sheet of Mathematics

Grade 10 Exam in Mathematics on Circles by Science High School

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2024/2025

Uploaded on 10/29/2025

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PAMPANGA HIGH SCHOOL
GRADE 10 MATHEMATICS
ASSESSMENT 5
SECOND QUARTER โ€“ SY 2025-2026
Name: ____________________________
Gr. & Sec.: ________________________
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)
PAMPANGA HIGH SCHOOL
GRADE 10 MATHEMATICS
ASSESSMENT 5
SECOND QUARTER โ€“ SY 2025-2026
Name: ____________________________
Gr. & Sec.: ________________________
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
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PAMPANGA HIGH SCHOOL

GRADE 10 MATHEMATICS

ASSESSMENT 5

SECOND QUARTER โ€“ SY 2025-202 6

Name: ____________________________

Gr. & Sec.: ________________________

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)

PAMPANGA HIGH SCHOOL

GRADE 10 MATHEMATICS

ASSESSMENT 5

SECOND QUARTER โ€“ SY 2025-

Name: ____________________________

Gr. & Sec.: ________________________

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)

  1. A D C F B E What is the measure of angle ACB if the measures of the arcs AB and ADB are 110^0 and 250^0 respectively?
  2. E P S Q T What is the measure of arc QT if the measure of arc EP is 60^0 and angle ESP is 70^0? What is the measure of line segment QS if the measure of line segment SP is 7 cm and the measures of line segments ES are 3 cm and 9 cm respectively? P
  3. M O N T What is the measure of arc OT if angle TON measures 57^0? What is the measure of line segment ON if the measures of line segments OP and OT are 6 cm and 24 cm respectively? ___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)
  4. A D C F B E What is the measure of angle ACB if the measures of the arcs AB and ADB are 110^0 and 250^0 respectively?
  5. E P S Q T What is the measure of arc QT if the measure of arc EP is 60^0 and angle ESP is 70^0? What is the measure of line segment QS if the measure of line segment SP is 7 cm and the measures of line segments ES are 3 cm and 9 cm respectively? P
  6. M O N