Loading in 5 sec....

Other Angle RelationshipsPowerPoint Presentation

Other Angle Relationships

- 98 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Other Angle Relationships' - eugene

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### Other Angle Relationships

Section 10.6

Tangent-Chord Theorem

- If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.

Interior Intersection Theorem

- If two chords intersect in the interior of a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Exterior Intersection Theorem

- If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.

Diagrams for Exterior Intersection Theorem

Example 3

- Find the value of x.

Try This!

- Find the value of x.

Example 4

- Find the value of x.

Example 5

- Find the value of x.

Chord Product Theorem

- If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Example 1

- Find the value of x.

Try This!

- Find the value of x.

Secant-Secant Theorem

- If two secant segments share the same endpoint outside a circle, then the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.

Secant-Tangent Theorem

- If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the length of the secant segment and the length of its external segment equals the square of the length of the tangent segment.

Example 2

- Find the value of x.

Try This!

- Find the value of x.

Example 3

- Find the value of x.

Try This!

- Find the value of x.

Download Presentation

Connecting to Server..