10.6: Find Segment Lengths in Circles

Slides:

Advertisements

Similar presentations

Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4).

Advertisements

Circles: The Length of Tangent/Secant Lines

The Power Theorems Lesson 10.8

Geometry Honors Section 9.5 Segments of Tangents, Secants and Chords.

Other Angle Relationships

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

10.5: Find Segment Lengths in Circles

Lesson 8-6: Segment Formulas

Rules for Dealing with Chords, Secants, Tangents in Circles

1 Lesson 10.6 Segment Formulas. 2 Intersecting Chords Theorem A B C D E Interior segments are formed by two intersecting chords. If two chords intersect.

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.

LESSON F: Segment Lengths in Circles During this lesson, you will find the lengths of segments of chords, tangents and secants in circles.

Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle.

TISK & 2 MM Lesson 9-5: Tangents Homework: 9-5 problems in packet 2 Monday, February 11, 2013 Agenda

Special Segments in Circles One last stint with Chords, Secants, and Tangents.

10.5 Segment Lengths in Circles

10.3 – Apply Properties of Chords. In the same circle, or in congruent circles, two ___________ arcs are congruent iff their corresponding __________.

Other Angle Relationships in Circles

12.4 Segment Lengths in Circles. Finding the Lengths of Chords When two chords intersect in the interior of a circle, each chord is divided into two segments.

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.

Warm - up Segment Lengths in Circles Section 6.6.

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.

10.3 – Apply Properties of Chords

Rules for Dealing with Chords, Secants, Tangents in Circles

Find Segment Lengths in Circles

10.5 Chord Length When two chords intersect in the interior of a circle, each chord is divided into segments. Theorem: If two chords intersect in the interior.

Find Segment Lengths in Circles

11.1; chord 22. tangent 23. diameter 24. radius

10.5 Segment Lengths in Circles

Geometry 11.5 Solar Eclipses.

Selected Answers from Homework

Section 10.6 Segments in Circles.

Module 19: Lesson 4 Segment Relationships in Circles

Special Segments in a Circle

Lines that Intersect Circles

Lesson 8-6: Segment Formulas

Special Segments in a circle (G.11c/2.4)

9-6 Other Angles.

Circles – Modules 15.5 Materials: Notes Textbook.

10-7 Special Segments in a Circle

11.6 Segment Relationships in Circles

Lesson 8-6: Segment Formulas

8-6 Segments in Circles.

CHANGING NUMBERS Change the following number to 36 by moving the position of only two lines.

10-6 Vocabulary POWER THEOREMS chord-chord secant segment

Segments of Chords, Secants & Tangents Lesson 12.7

Segment Lengths in Circles

Aim: How do we find the length of secants?

Notes 12.3/12.4 (Angles) Learning Targets:

8-6 Segments in Circles.

10-6: Find Segment Lengths in Circles

Determining Lengths of Segments Intersecting Circles

Lesson 8-6: Segment Formulas

Segment Lengths in Circles

Special Segments in a Circle

Lesson 8-6 Segment Formulas.

Segment Lengths in Circles

Unit 3: Circles & Spheres

Lesson 10-7: Segment Formulas

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

10.6 Find Segment Lengths in ⊙s

Presentation transcript:

10.6: Find Segment Lengths in Circles 02/18/09 10.6: Find Segment Lengths in Circles

Segments of Secants Theorem If two secant segments share the same endpoint outside a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. D B A E C

Ex.1) Find the value of x. 6 9 5 x

Segments of Secants and Tangents Theorem If a secant segment and a tangent segment share and endpoint outside a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment. B A C D

Ex.2) Find the value of x. 3 1 x

turn to pg. in your workbooks.

*Bring textbook tomorrow. HW #28: p.693 (6 – 12, 14, 15, 17 – 19) & p. 686 (1 – 7) *10.4, 10.5 Quiz this Friday. *Bring textbook tomorrow.