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What's on the worksheet
- Find the distance from Hannah to the fountain's edge and between the two touching points.
- Find x and the angle between two tangents from arcs.
- Find the distance from the bottom of a V cradle to a pipe's center using tangents.
- Find tangent pieces at the corners of a polygon around a circle and test a quadrilateral.
- Find the legs, radius and area of an isosceles trapezoid around a circle.
- Find the two radii of circles from the lengths of their common tangents.
- Prove a point on a common tangent is the midpoint of the outer tangent segment.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Tangent properties: 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