Inscribed Angle Theorem Worksheet
This worksheet focuses on the Inscribed Angle Theorem, its corollaries, and applications in solving geometry problems involving circles for Grade 10 students.
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Inscribed Angle Theorem
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. An inscribed angle is formed by two chords in a circle that share an endpoint. How does the measure of an inscribed angle relate to the measure of its intercepted arc?
It is equal to the measure of the intercepted arc.
It is half the measure of the intercepted arc.
It is twice the measure of the intercepted arc.
There is no consistent relationship.
2. If an inscribed angle intercepts a semicircle, what is the measure of the inscribed angle?
45 degrees
90 degrees
180 degrees
Depends on the radius
3. The Inscribed Angle Theorem states that the measure of an inscribed angle is the measure of its intercepted arc.
4. If two inscribed angles intercept the same arc, then the angles are .
5. A quadrilateral inscribed in a circle is called a quadrilateral.
6. In the circle below, if the measure of arc AB is 100 degrees, what is the measure of the inscribed angle ACB?
7. Consider a circle with center O. If an inscribed angle subtends a diameter, prove that the inscribed angle is a right angle.
8. All angles inscribed in the same arc are congruent.
True
False
9. The measure of a central angle is always half the measure of its intercepted arc.
True
False
10. Points A, B, C, and D lie on a circle in that order. If angle ABC = 70 degrees and angle BCD = 80 degrees, find the measures of angle CDA and angle DAB.