11-5
Download
1 / 17

11-5 - PowerPoint PPT Presentation


  • 136 Views
  • Uploaded on

11-5. Angle Relationships in Circles. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. chords: AE , CD secant: AE tangent: AB. Warm Up 1. Identify each line or segment that intersects  F . Find each measure. 2. m  NMP 3. m  NLP. 110°. 55°. Objectives.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '11-5' - matt


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
11 5

11-5

Angle Relationships in Circles

Warm Up

Lesson Presentation

Lesson Quiz

Holt Geometry


11 5

chords:AE,CD

secant: AE

tangent: AB

Warm Up

1.Identify each line or segment that intersects F.

Find each measure.

2. mNMP

3. mNLP

110°

55°


11 5

Objectives

Find the measures of angles formed by lines that intersect circles.

Use angle measures to solve problems.


11 5

Example 1A: Using Tangent-Secant and

Tangent-Chord Angles

Find each measure.

mEFH

= 65°


11 5

Example 1B: Using Tangent-Secant and

Tangent-Chord Angles

Find each measure.


11 5

Example 2: Finding Angle Measures Inside

a Circle

Find each measure.

mAEB

= 126


11 5

Check It Out! Example 2b

Find each angle measure.

mRNM

mRNM = 180° – MNQ

mRNM = 180° – 158° = 22°


11 5

Example 3: Finding Measures Using

Tangents and Secants

Find the value of x.

= 40

= 63


11 5

In the company logo shown, = 108°, and = 12°. What is mFKH?

Example 4: Design Application


11 5

Two of the six muscles that control eye movement are attached to the eyeball and intersect behind the eye. If mAEB = 225, what is mACB?

Check It Out! Example 4


11 5

Find attached to the eyeball and intersect behind the eye. If m

Step 1 Find

U

V

Substitute 180 – 113 for mXVY and 68 for mWZ

Example 5: Finding Arc Measures

If a tangent and a secant intersect on a  at the pt. of tangency, then the measure of the  formed is half the measure of its intercepted arc.

Multiply both sides by 2.

Subtract 68 from both sides.


11 5

Step 2 attached to the eyeball and intersect behind the eye. If m Find

U

V

Example 5 Continued

Thm. 11-5-3

Substitute the given values.

Multiply both sides by 2.

Add 66 to both sides.


11 5

Find m attached to the eyeball and intersect behind the eye. If mLP

Step 1 Find

Step 2 Find

Check It Out! Example 5


ad