Practice with Segments - Chords, Secants, Tangents
Overview
This practice session is designed to test your understanding of segments in circles, including chords, secants, and tangents. Make sure to read each question carefully and do not assume diagrams are drawn to scale. Each problem is accompanied by an image illustration.
Practice Problems
Problem 1
- Given: Circle with two chords.
- Objective: Find the value of x.
- Image Reference: Segment1
Problem 2
- Given: Circle O with two secants intersecting at point A.
- Objective: Find the value of x.
- Image Reference: Segment3
Problem 3
- Given: Circle O with a diameter perpendicular to a chord.
- Objective: Find the value of x.
- Image Reference: Segment22
Problem 4
- Given: Circle O with two secants intersecting at point A.
- Objective: Find the value of x.
- Image Reference: Segment4
Problem 5
- Given: Circle O with a secant and a tangent intersecting at point A.
- Objective: Find the value of x.
- Image Reference: Segment5
Problem 6
- Given: Circle O with marked chords.
- Objective: Find the value of x.
- Image Reference: Segment6
Problem 7
- Given: Circle O with two secants, where secant AE passes through the center. Given AD = 4, AC = 12, BC = 6.
- Objective: Find the value of OE.
- Image Reference: Segment7
Problem 8
- Given: Circle O with a secant and a tangent.
- Objective: Find the value of x.
- Image Reference: Segment8
Problem 9
- Given: Circle O with a tangent, a secant, and a chord. Values given: AF = x + 2, FE = x, CF = 2, FD = 12, and EB = 8.
- Objective: Find the value of BD.
- Image Reference: Segment9
Problem 10
- Given: In a circle, the diameter is extended through point B to an external point P, and a tangent is drawn to point C on the circle. The radius is 15, and BP = 2.
- Objective: Find the length of PC.
Important Notes
- Re-posting of content from the source site to the Internet is a copyright violation and not considered "fair use" for educators. Review the Terms of Use for more information.