Grade 10 Geometry: Secants
A Grade 10 math worksheet focusing on understanding and applying properties of secants in circles.
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Grade 10 Geometry: Secants
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. Define what a secant line is in the context of a circle. How does it differ from a tangent line?
2. When two secant segments intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the of the other secant segment and its external segment.
3. An angle formed by two secants intersecting inside a circle has a measure equal to half the of the measures of the intercepted arcs.
4. A line that intersects a circle at exactly two points is called a:
Tangent
Chord
Secant
Radius
5. In the diagram below, a secant segment and a tangent segment are drawn to a circle from an external point. If the length of the tangent segment is 12 and the external segment of the secant is 6, find the length of the entire secant segment.
6. Two secants intersect inside a circle. The intercepted arcs measure 80 degrees and 120 degrees. What is the measure of the angle formed by the intersection of the two secants?