105 0 32 0 1 2 3 4 52.5 0 16 0 36.5 0 105 0 Warm-up Find the measures of angles 1 – 4.

Slides:

Advertisements

Similar presentations

74° 38° x° For each circle, find the measure of x

Advertisements

Lesson 6.1 Properties of Tangents Page 182. Q1 Select A A.) This is the correct answer. B.) This is the wrong answer. C.) This is just as wrong as B.

Secants, Tangents, and Angle Measures and Special Segments in a Circle

Session 25 Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24,

Bellwork  If 10 is multiplied by 10 more than a number, the product is the square of 24. Find the number  Solve for x 21(x-4)=(2x-7)(x+2) 3x 2 -13x-7=0.

Geometry – Segments of Chords and Secants

Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24, find BE.

TODAY IN GEOMETRY…  Review: Finding inside and outside angles of circles  Warm up: Finding angles  Learning Target : 10.6 You will find lengths of segments.

6.1 Use Properties of Tangents

For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1)2)

1. Draw 4 concentric circles 2. Draw a circle with r = 4 and center A. 3. What is the diameter of the circle? 4. Explain the difference between a secant.

105  32   16  36.5  105  Warm-up Find the measures of angles 1 – 4.

10.5 Segment Lengths in Circles

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we use angle measures.

A A person is standing at point A cheering on his favorite team. Round to nearest tenth. a)Find the height CD of the bleachers. b)Find the height of the.

Sec. 12 – 4  Measures & Segment Lengths in Circles.

Are diameters. Find the indicated measures. 1) 2) 3) 4)

10.1 Use Properties of Tangents

Daily Check. Homework Review UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s.

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we find arc length.

Other Angle Relationships in Circles

Find Segment Lengths in Circles Lesson Definition When two chords intersect in the interior of a circle, each chord is divided into two segments.

Section 9-7 Circles and Lengths of Segments. Theorem 9-11 When two chords intersect inside a circle, the product of the segments of one chord equals the.

Sec. 12 – 4  Measures & Segment Lengths in Circles Objectives: 1) To find the measures of  s formed by chords, secants, & tangents. 2) To find the lengths.

Warm - up Segment Lengths in Circles Section 6.6.

Monday October 21. Test Friday Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question:

Session 25 Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24,

Segment Lengths in Circles 10.5 Chapter 10 Circles Section 10.5 Segment Lengths in Circles Find the lengths of segments of chords. Find the lengths of.

10-6 Find Segment Lengths in Circles. Segments of Chords Theorem m n p m n = p q If two chords intersect in the interior of a circle, then the product.

Section 10.4 Other Angle Relationships in Circles.

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different.

Warm-up D A 60 feet C B 90 feet. A person is standing at point A cheering on his favorite team. Round to nearest tenth. Find the height AB.

Rules for Dealing with Chords, Secants, Tangents in Circles

Friday October 5th.

Lesson: Angle Measures and Segment Lengths in Circles

Monday December 16.

Module 19: Lesson 4 Segment Relationships in Circles

Angle Measures and Segment Lengths in Circles

Section 11 – 2 Chords & Arcs Objectives:

9-6 Other Angles.

Circles – Modules 15.5 Materials: Notes Textbook.

Segment Lengths in Circles

Warmup Find x. 1) 2)

8-6 Segments in Circles.

Daily Check For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1) 2)

Warm-up #2 ( Find x and m AD B 72o A C 9xo D.

Objectives Find the lengths of segments formed by lines that intersect circles. Use the lengths of segments in circles to solve problems.

Segment Lengths in Circles

Section 10.4 – Other Angle Relationships in Circles

Segment Lengths in Circles

Segment Lengths in Circles

8-6 Segments in Circles.

Chapter 9 Section-6 Angles Other.

Segment Lengths in Circles

Special Segments in a Circle

Sec Find Segment Lengths in Circles Review

Segment Lengths in Circles

Unit 3: Circles & Spheres

Angle Measure & Segment Lengths

6.6 Finding Segment Lengths.

Lesson 8-6: Segment Formulas

Segment Lengths in Circles

Special Segments in a Circle

Essential Question Standard: 21 What are some properties of

Segment Lengths in Circles

Special Segments in a Circle

Warmup Find x. 1) 2)

10.6: Find Segment Lengths in Circles

Whole Sheet Chord-Chord Secant-Tangent Secant-Secant Tangent-Tangent.

Presentation transcript:

Warm-up Find the measures of angles 1 – 4.

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we find segment lengths in circles? Standard: MM2G3.b

6.6 Segment Lengths in Circles

 Find the lengths of segments of chords  Find the lengths of segments of tangents and secants

a b c d ab = cd

9 2 6 x x = x x = x x = 1 Ex: 1 Solve for x.

Ex: 2 Solve for x x 3x 2x  3x = 12  8 6x 2 = 96 x 2 = 16 x = 4

Homework Textbook – p. 220 #1-6, 21, 22; p. 222 #4, 8-10