Grade 10 Circle Theorems Worksheet
A Grade 10 Math worksheet covering fundamental circle theorems including central angles, inscribed angles, tangents, and chords.
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Grade 10 Circle Theorems Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. If a central angle measures 70 degrees, what is the measure of the inscribed angle that subtends the same arc?
35 degrees
70 degrees
105 degrees
140 degrees
2. A tangent line touches a circle at exactly how many points?
Zero
One
Two
Three
3. The angle formed by two chords intersecting inside a circle is half the sum of the measures of the intercepted .
4. A radius drawn to a point of tangency is to the tangent line.
5. In the circle below, O is the center. If arc AB measures 120 degrees, what is the measure of angle ACB?
6. Explain the relationship between the lengths of two tangents drawn from an external point to a circle.
7. All angles inscribed in the same arc are equal.
True
False
8. The perpendicular from the center of a circle to a chord bisects the chord.
True
False
Match each term with its definition.
9. Inscribed Angle
a. An angle whose vertex is at the center of the circle.
10. Central Angle
b. A line segment connecting two points on a circle.
11. Chord
c. An angle whose vertex is on the circle and whose sides are chords.