Name Date Class
Angles and Segments in Circles
Module Practice
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Name Date Class
For 1–2, use the diagram and information below.
1. What is the value of x?
2. If and what is
3. In a circle, what is the difference between a secant line and a tangent line?
4. Chords and form an inscribed angle of 5x degrees. If what is the value of x?
5. A quadrilateral is inscribed in a circle.
If angles 1 and 2 are opposite angles of the quadrilateral, and
mÐ2 = (1 + 4x)°, what is the value of x?
6. In the figure above, and is tangent to the circle. If what is
For 7–9, use the diagram below.
7. What is the measure of
8. What is the measure of
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
87
Name Date Class
Angles and Segments in Circles
Module Practice
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
88
Name Date Class
9. Explain why must be a diameter of the circle.
For 10–11, use the diagram below.
10. Find the value of x.
11. Find the value of y.
12. Chords and intersect within a circle at point P. If and what is
13. In the circle centered at point O, and What is the value of x?
For 14–16, use the circle centered at
point O below.
14. If find
15. Find
16. Is a diameter of the circle? Explain.
17. What is the value of x in the diagram below?
MODULE 19 Angles and Segments in Circles Practice Answers
1. 4
2. 45°
3. A tangent line intersects the circle at exactly one point while a secant line intersects the circle at exactly two points.
4. 7
5. 25
6. 100°
7. 90°
8. 120°
9. Since the angles at points B and D are right angles, is a diameter by the angle inscribed in a semicircle theorem
10. 4
11. 30°
12. 112°
13. 25°
14. 60°
15. 60°
16. Yes; and passes through the center of the circle.
17. 9
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