Page 1 of 2
Download
Get this sheet
SubscriptionOpen any sheet in any course, up to 40 a month, keys included. Or $40 month to month.
$25/mo, billed yearly
SubscribeTry one first: a free Chapter 1 worksheet (PDF, no sign-in).
What's on the worksheet
- Name the two similar triangles from crossing chords and use them to find lengths.
- Find the radius from a point inside the circle and the two pieces of the diameter.
- Prove that a tangent segment is longer than the near part and shorter than the whole secant.
- Prove a ratio of squared chords equals a ratio of secant pieces.
- Prove that D lies on a circle when two products of lengths are equal.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Proving the power of a point relationships: 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