Tangent Lines Worksheet
Explore the properties of tangent lines to circles with this Grade 9 math worksheet, covering definitions, theorems, and problem-solving.
Includes
Standards
Topics
Tangent Lines Geometry
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is a tangent line to a circle?
A line that intersects the circle at two points.
A line that passes through the center of the circle.
A line that intersects the circle at exactly one point.
A line segment connecting two points on the circle.
2. The radius drawn to the point of tangency is to the tangent line.
3. If two tangent segments are drawn to a circle from the same external point, then the segments are .
4. In the diagram below, line AB is tangent to circle O at point A. If the radius of circle O is 5 cm and the distance from O to B is 13 cm, find the length of AB.
5. A secant line intersects a circle at exactly one point.
True
False
6. Two tangent segments, PT and PS, are drawn to a circle from an external point P. If PT = 3x + 2 and PS = 5x - 8, find the value of x and the length of each tangent segment.
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.