-
Circle Properties
-
1. Arcs and Chords
- Theorem 10.2 Congruent Chords
- Theorem 10.3 Perpendicular Lines to Chords of Circles
- Theorem 10.4 Perpendicular Bisector of a Chord
- Theorem 10.5 Congruent Chords
-
2. Inscribed Angles
- Inscribed Angles
- Inscribed Angles Intercepting the Same Arc
- Inscribed Angles of a Semicircle
- Cyclic Quadrilaterals
-
3. Tangents
- Point of Tangency
- Tangent Segments
-
4. Secants, Tangents, and Angle Measures
- Tangent-Chord Angles
- 2 Chords - 2nd Formula (Angles)
- Tangent-Secant - 2nd Formula (Angle Measures)
- 2 Secants - 2nd formula (Angle Measures)
- 2 Tangents - 2nd Formula (Angle Measures)
-
5. Special Segments in Circles
- 2 Chords - 1st Formula (Segment Lengths)
- Tangent-Secant - 1st Formula (Segment Lengths)
- 2 Secants - 1st Formula (Segment Lengths)
This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?
This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?
This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?
Circle Properties
tinhel, Luci Howard, epicbriggs, May 5, 2017

Use this applet to discover the properties of Circles!
Table of Contents
- Arcs and Chords
- Theorem 10.2 Congruent Chords
- Theorem 10.3 Perpendicular Lines to Chords of Circles
- Theorem 10.4 Perpendicular Bisector of a Chord
- Theorem 10.5 Congruent Chords
- Inscribed Angles
- Inscribed Angles
- Inscribed Angles Intercepting the Same Arc
- Inscribed Angles of a Semicircle
- Cyclic Quadrilaterals
- Tangents
- Point of Tangency
- Tangent Segments
- Secants, Tangents, and Angle Measures
- Tangent-Chord Angles
- 2 Chords - 2nd Formula (Angles)
- Tangent-Secant - 2nd Formula (Angle Measures)
- 2 Secants - 2nd formula (Angle Measures)
- 2 Tangents - 2nd Formula (Angle Measures)
- Special Segments in Circles
- 2 Chords - 1st Formula (Segment Lengths)
- Tangent-Secant - 1st Formula (Segment Lengths)
- 2 Secants - 1st Formula (Segment Lengths)
Theorem 10.2 Congruent Chords
Move the blue points to discover the properties of congruent chords.
Exploring Congruent Chords


Inscribed Angles
Use this applet to discover the properties of Inscribed Angles of a Circle!
Inscribed Angles


Point of Tangency
Use this applet to discover the properties of points of Tangency on a Circle!
Point of Tangency


Tangent-Chord Angles
Angle JCB is a tangent-chord angle with vertex C.


2 Chords - 1st Formula (Segment Lengths)
See below:


Saving…
All changes saved
Error
A timeout occurred. Trying to re-save …
Sorry, but the server is not responding. Please wait a few minutes and then try to save again.