Chapter 9-4 Arcs and Chords.

Slides:



Advertisements
Similar presentations
Circle Theorems-“No Brainers”
Advertisements

11.2/11.3 Tangents, Secants, and Chords
Circles and Chords. Vocabulary A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle.
Sect Properties of Chords and Arcs Geometry Honors.
Apply Properties of Chords
Geometry Arcs and Chords September 13, 2015 Goals  Identify arcs & chords in circles  Compute arc measures and angle measures.
10.2 Arcs and Chords Central angle Minor Arc Major Arc.
Chapter 10.3 Notes: Apply Properties of Chords
StatementReason 1. Given 2. Chords that intercept congruent arcs are congruent Example 1 3. All radii of a circle are congruent.
Isosceles and Equilateral Triangles Section 5-1. Isosceles Triangle A triangle with at least two congruent sides. Leg Leg Base Vertex Angle Base Angles.
6.3 – 6.4 Properties of Chords and Inscribed Angles.
8-2C Radius-chord Conjectures What is a chord? What special relationship exists between a radius of a circle and a chord?
Geometry 9.4 Arcs and Chords.
10.3 – Apply Properties of Chords
11-2 Chords & Arcs 11-3 Inscribed Angles
GEOMETRY: Chapter : Chords#2. Image taken from: Geometry. McDougal Littell: Boston, P Theorem 10.4 In the same circle, or in congruent.
12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –
Chapter 10.3 Essential Question  What are the properties of chords?
Unit 3: Circles & Spheres
WARM UP Find the following measures.. Section 9.4 Relationships between Arcs and Chords.
11-2 Chords and Arcs  Theorems: 11-4, 11-5, 11-6, 11-7, 11-8  Vocabulary: Chord.
9-3 Arcs and Chords Objectives: To recognize and use relationships among arcs, chords, and diameters.
Geometry/Trig 2Name: __________________________ Fill In Notes – 9.4 Chords and Arcs Date: ___________________________ Arcs can be formed by figures other.
10.3 – Apply Properties of Chords. In the same circle, or in congruent circles, two ___________ arcs are congruent iff their corresponding __________.
Going Around in Circles!
LESSON 11.2 CHORDS AND ARCS OBJECTIVE: To use chords, arcs and central angles to solve problems To recognize properties of lines through the center of.
Geometry 9.4 Arcs and Chords. Theorem In the same circle or in congruent circles: congruent arcs have congruent chords congruent chords have congruent.
Section 10-2 Arcs and Central Angles. Theorem 10-4 In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding.
Main Idea 1: If the arcs are congruent, then the chords are congruent. REVERSE: If the chords are congruent, then the arcs are congruent. Main Idea 2:
Warm Up 3-8 Find X. Announcements Online HW due Wednesday night Warm Ups due Thursday Test Friday.
Circle Segments and Volume. Chords of Circles Theorem 1.
Lesson 9-4 Arcs and Chords (page 344) Essential Question How can relationships in a circle allow you to solve problems involving arcs and chords?
Goal 1: To use congruent chords, arcs, and central angles Goal 2: To recognize properties of lines through the center of a circle Check Skills You’ll Need.
Apply Properties of Chords
12.2 Chords and Arcs.
Thm Summary
10.3 – Apply Properties of Chords
Unit 3: Circles & Spheres
Do Now 1.) Explain the difference between a chord and a secant.
Section 10.4 Arcs and Chords.
Review Tangents, plus Arcs, Central Angles and Chords
TOPIC 12-2.
Chapter 10: Properties of Circles
Assignment 1: 10.3 WB Pg. 127 #1 – 14 all
Copyright © 2014 Pearson Education, Inc.
Lesson 10-3 Arcs and Chords.
Lesson 8-4: Arcs and Chords
Geometry 11.4 Color Theory.
Circles.
7-3 Arcs and Chords Objectives:
Lesson 9-4 Arcs and Chords (page 344)
Chords, secants and tangents
Lesson 8-4: Arcs and Chords
Central angle Minor Arc Major Arc
Section 11 – 2 Chords & Arcs Objectives:
Day 3.
Lesson 8-4 Arcs and Chords.
Week 1 Warm Up Add theorem 2.1 here next year.
Central angle Minor Arc Major Arc
Section 10.2 Arcs and Chords.
Arcs Chapter 9 Section-4 Chords.
Lesson 8-4: Arcs and Chords
Bellringer Have Worksheet from Monday (plus p. 767 #6 – 8, 18 – 19 on back) and Notes out on your Desk Work on p. 779 #44 – 45.
Warm-up A E B D 37o C ( ( ( ( Find the measure of DC and AB and AD and ACD.
Standards: 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the.
12.2 Chords & Arcs.
Lesson 8-4: Arcs and Chords
Warm Up 1. Draw Circle O 2. Draw radius OR 3. Draw diameter DM
Chapter 10 Circles.
Section 10.2 Arcs and Chords.
Presentation transcript:

Chapter 9-4 Arcs and Chords

Congruent chords theorem In the same circle or in congruent circles: 1. Congruent arcs have congruent chords 2. Congruent chords have congruent arcs

Congruent chords theorem cont.

Diameter A diameter that is perpendicular to a chord bisects the chord and its arc

Arc/chord Bisector

In the same triangle or congruent triangles: 1. Chords equally distant from the center (or centers) are congruent. 2. Congruent chords are equally distant from the center (or centers).

Congruent arcs