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What's on the worksheet
- Find the missing length from a tangent segment, a radius and the distance to the center.OB = 8, OA = 17; find ABOB = 20, AB = 21; find OAAB = 40, OA = 41; find OBOB = 12, OA = 37; find ABOB = 3, AB = 3; find OA
- Show a quadrilateral from two perpendicular tangents is a square and find the radius.
- Show a point is on a circle, show the line is tangent with slopes, and find the tangent length.
- Find the angle ABC from a tangent and the segment through the center.
- Prove a line is tangent to both circles at their shared point.
- Prove a line is tangent to a second circle and the center lies outside it.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Proving a tangent is perpendicular to the radius: the lesson ›More Chapter 10 worksheets: Circles
- 10.1Chords, secants and tangents
- 10.2Arcs and central angles
- 10.3Arc length
- 10.4Sectors, segments and their areas
- 10.5The inscribed angle theorem
- 10.6Inscribed polygons and cyclic quadrilaterals
- 10.7Proving the inscribed angle theorem
- 10.8Chord theorems
- 10.9Tangent properties
- 10.10Proving a tangent is perpendicular to the radius
- 10.11Angles made by chords, secants and tangents
- 10.12Segment lengths in circles
- 10.13Proving the power of a point relationships
- 10.14Regular polygons and their circles
- 10.15Equation of a circle
- 10.16Finding the center and radius