10.6 Find Segment Lengths in ⊙s

Slides:

Advertisements

Similar presentations

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

Advertisements

Sec 10-6 Date: Concept: Segment Lengths in Circles

Section 10.1 Circles.

Circles: The Length of Tangent/Secant Lines

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

Section 12.1: Lines That intersect Circles

Other Angle Relationships

Section 10 – 1 Use Properties of Tangents. Vocabulary Circle – A set of all points that are equidistant from a given point called the center of the circle.

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

9.7 Segment Lengths 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.

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

10.5 Segment Lengths in Circles

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

W ARM - UP : S OLVE IN YOUR NOTEBOOK 1. 8x = (10+8)=6(y+6) =6(2x+8) =x(x+6)

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

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.

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

10.5 Segment Lengths in Circles

Lesson: Angle Measures and Segment Lengths in Circles

Section 10.6 Segments in Circles.

Module 19: Lesson 4 Segment Relationships in Circles

Lesson 8-6: Segment Formulas

9-6 Other Angles.

10-7 Special Segments in a Circle

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.

Segment Lengths in Circles

Segment Lengths in Circles

Chapter 10 Section 10.1.

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

Lesson 8-6: Segment Formulas

Segment Lengths in Circles

Special Segments in a Circle

10.1 Use Properties of Tangents

Lesson 8-6 Segment Formulas.

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

2. Find m1 1. Find mXAB 42º 90º 3. Find mZ 70º Session 71 WARM UP A

10.5 Apply Other ∡ Relationship in ⊙s

10.6: Find Segment Lengths in Circles

Presentation transcript:

10.6 Find Segment Lengths in ⊙s Mrs. Vazquez Geometry

g-c.1.2 Essential Question: How can I find lengths of segments with ⊙s? Objective: Students will be able to find segment lengths in ⊙s.

Segments of chords thm If two chords intersect in the interior of a ⊙, then the product of the lengths of the segments of one chord is equal to the product of the lengths of segments of the other chord. A∙B = C∙D

Segments of secants thm If two secants share the same endpoint outside a ⊙, then the product of the lengths of one secant segment & its external segment equals the product of the lengths of the other secant segment & its external segment. DE∙ME = FE∙NE

segments of secants & tangents thm If a secant & a tangent share an endpoint outside a ⊙, then the product of the lengths of the secant segment & its external segment equals the square of the length of the tangent segment. (c+b)∙b = a2