Properties of Chords. When a chord intersects the circumference of a circle certain properties will be true.

Slides:

Advertisements

Similar presentations

Circles. Parts of a Circle Circle A circle is the set of all points in a plane that are a given distance from a given point in the plane, called the.

Advertisements

Tangents to Circles Pg 595. Circle the set of all points equidistant from a given point ▫Center Congruent Circles ▫have the same radius “Circle P” or.

10.1 Tangents to Circles Geometry.

Tangents Sec: 12.1 Sol: G.11a,b A line is ______________________ to a circle if it intersects the circle in exactly one point. This point.

A B Q Chord AB is 18. The radius of Circle Q is 15. How far is chord AB from the center of the circle? 9 15 (family!) 12 x.

Circle - Introduction Center of the circle Radius Diameter Circumference Arc Tangent Secant Chord.

8.1 Circle Terminology and Chord Properties

CIRCLE 1. Basic terms Radius (jari-jari) : any segment that joins the center to a point of the circle Chord (tali busur): a segment that joins two points.

1 Lesson 10.2 Arcs and Chords. 2 Theorem #1: In a circle, if two chords are congruent then their corresponding minor arcs are congruent. E A B C D Example:

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.

Lesson 8-4: Arcs and Chords

Sect Properties of Chords and Arcs Geometry Honors.

Lesson 6.2 Properties of Chords

Unit 4: Arcs and Chords Keystone Geometry

Chapter 4 Properties of Circles Part 1. Definition: the set of all points equidistant from a central point.

TODAY IN GEOMETRY…  Warm Up: Major and Minor Arcs  Learning Target : 10.3 You will use relationships of arcs and chords in a circle.  Independent practice.

Geometry Arcs and Chords September 13, 2015 Goals  Identify arcs & chords in circles  Compute arc measures and angle measures.

Properties of a Chord Circle Geometry Homework: Lesson 6.2/1-12, 18

Circle Properties Part I. A circle is a set of all points in a plane that are the same distance from a fixed point in a plane The set of points form the.

CIRCLE THEOREMS. TANGENTS A straight line can intersect a circle in three possible ways. It can be: A DIAMETERA CHORD A TANGENT 2 points of intersection.

Geometry – Arcs, Central Angles, and Chords An arc is part of a circle. There are three types you need to understand: P Semicircle – exactly half of a.

Chapter 10 Properties of Circles.

 A circle is defined by it’s center and all points equally distant from that center.  You name a circle according to it’s center point.  The radius.

8-3 & 8-4 TANGENTS, ARCS & CHORDS

Find the value of x. 2. Identify the special name given to each segment in Circle Q.

Circles Chapter 12.

Symmetry Properties of a Circle

Who wants to be a Millionaire? Hosted by Mrs. Kuykendall.

HKDSE Mathematics Ronald Hui Tak Sun Secondary School.

Circle Properties - Ch 6 Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are…....congruent.

Circle : A closed curve formed in such a way that any point on this curve is equidistant from a fixed point which is in the interior of the curve. A D.

[10.2] Perpendicular Bisector  Draw a Chord AB  Find the Midpoint of AB (Label it M)  From M, draw a line through O  What do you notice? Circle #1.

Created by ﺠﻴﻄ for mathlabsky.wordpress.com.  O A B C D E F G Sector Segment Example Radius : OA, OB, OC, OD, OE, OF Chord : FE, AF, AD Diameter : AD.

A circle is a closed curve in a plane. All of its points are an equal distance from its center.

Radius diameter secant tangent chord Circle: set of all points in a plane equidistant from a fixed point called the center. Circle 4.1.

12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –

A RCS AND C HORDS Objective: Determine missing parts of a circle using properties of chords and arcs.

Math 9 Unit 4 – Circle Geometry. Activity 3 – Chords Chord – a line segment that joints 2 points on a circle. A diameter of a circle is a chord through.

A radius drawn to a tangent at the point of tangency is perpendicular to the tangent. l C T Line l is tangent to Circle C at point T. CT  l at T.

10.3 Chords. Review Draw the following on your desk. 1)Chord AB 2)Diameter CD 3)Radius EF 4)Tangent GH 5)Secant XY.

Parts of a Circle & Circumference Textbook page 516 IAN page 120.

Going Around in Circles!

Chord and Tangent Properties. Chord Properties C1: Congruent chords in a circle determine congruent central angles. ●

Circles: Arcs, Angles, and Chords. Define the following terms Chord Circle Circumference Circumference Formula Central Angle Diameter Inscribed Angle.

GeometryGeometry Lesson 6.1 Chord Properties. Geometry Geometry Angles in a Circle In a plane, an angle whose vertex is the center of a circle is a central.

Circle Theorems The angle at the centre is twice the angle at the circumference for angles which stand on the same arc.

Going Around in Circles! Advanced Geometry 10.1 and 10.2.

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:

Circle Geometry.

10.2 Arcs and Chords Unit IIIC Day 3. Do Now How do we measure distance from a point to a line? The distance from a point to a line is the length of the.

10.3 – Apply Properties of Chords

Lesson 10-3 Arcs and Chords.

Lesson 8-4: Arcs and Chords

Geometry 11.4 Color Theory.

Chords, secants and tangents

Lesson 8-4: Arcs and Chords

Parts of Circles Dictionary

Section 11 – 2 Chords & Arcs Objectives:

8-3 & 8-4 TANGENTS, ARCS & CHORDS

THE WORLD OF SHAPES CIRCLES.

Day 122 – Angle properties of a circle 1

Lesson 8-4 Arcs and Chords.

Week 1 Warm Up Add theorem 2.1 here next year.

Lesson 8-4: Arcs and Chords

Lesson 10-3: Arcs and Chords

Warm-up A E B D 37o C ( ( ( ( Find the measure of DC and AB and AD and ACD.

12.2 Chords & Arcs.

Lesson 8-4: Arcs and Chords

Tangents, Arcs, and Chords

Presentation transcript:

Properties of Chords

When a chord intersects the circumference of a circle certain properties will be true.

Property #1: Chords that are equidistant from the center of a circle are equal in length. If OE = OG, then AB = CD.

Converse of Property #1: Equal chords are equidistant from the center of a circle. If AB = CD, then OE = OG.

Property #2: All radii of a circle are equal. OA = OC = OD

Property #3: A line from the center of a circle, perpendicular to a chord, bisects the chord (and the subtended arc).

Converse of Property #3: If the line that is perpendicular to a chord bisects the chord, then the line passes through the center of the circle.

Another Converse of Property #3: If a line passing through the center bisects a chord (or its arc), then it is perpendicular to the chord.

Property #4 Equal chords have equal arcs.

Converse of Property #4 Equal arcs have equal chords.

Example What is the distance between the two parallel chords if the radius of the circle is 7?

Example

In a circle with radius 7 cm, a chord is 3 cm from the center. How long is another chord located 3 cm from the center?

Example