C HORDS, S ECANTS, AND T ANGENTS 10.1 & 10.3. S ECANT A secant is a line that intersects a circle in two points. A tangent is a line that intersects the.

Slides:

Advertisements

Similar presentations

10.1 Use Properties of Tangents

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.

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

11.2/11.3 Tangents, Secants, and Chords

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Circle. Circle Circle Tangent Theorem 11-1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of.

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.

10-5 T ANGENTS Ms. Andrejko. V OCABULARY Tangent- Line in the same plane as a circle that intersects the circle at exactly one point called the point.

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.

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.

CIRCLES Chapter 10.

Circles Chapter 10.

6.1 Use Properties of Tangents

Tangents to Circles (with Circle Review)

Lesson 10.1a Circle Terminology.

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.

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.

Lesson 8-1: Circle Terminology

10.1 HW pg # 3-10, odd, 24, 27, G4. H5. C 6. E7. F8. A 9. B10. D

10.1– Use Properties of Tangents of Circles. TermDefinitionPicture Circle The set of all points in a plane that are equidistant from a given point.

Bell work What is a circle?. Bell work Answer A circle is a set of all points in a plane that are equidistant from a given point, called the center of.

Lesson 8-1: Circle Terminology

Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.

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

Use Properties of Tangents

Circles: Basic Terms Tutorial 8a. Parts of a Circle  A circle is the set of all points in a plane equidistant from a given point.  Name a circle by.

Chapter 10 Properties of Circles.

CIRCLES: TANGENTS. TWO CIRCLES CAN INTERSECT… in two points one point or no points.

 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

Circles Chapter 12.

Chapter 10 Circles Section 10.1 Goal – To identify lines and segments related to circles To use properties of a tangent to a circle.

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 –

11-2 Chords and Arcs  Theorems: 11-4, 11-5, 11-6, 11-7, 11-8  Vocabulary: Chord.

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.

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

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

10.1 Tangent Properties to a Circle. POD 1. What measure is needed to find the circumference or area of a circle? 2. Find the radius of a circle with.

 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.

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.

PROPERTIES OF CIRCLES Chapter – Use Properties of Tangents Circle Set of all points in a plan that are equidistant from a given point called.

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.

Radius chord diameter secant tangent center. --the set of points in a plane equidistant from a given point known as the center.

12.2 Chords and Arcs.

Unit 4 Circle Terminology Keystone Geometry.

10.3 – Apply Properties of Chords

Do Now 1.) Explain the difference between a chord and a secant.

Section 10.4 Arcs and Chords.

Chapter 10: Properties of Circles

Assignment 1: 10.3 WB Pg. 127 #1 – 14 all

Lesson 8-4: Arcs and Chords

Chords, secants and tangents

Lines that Intersect Circles

Lesson 10-1: Circle Terminology

Section 10.1 Tangents to Circles.

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

Lesson 8-1: Circle Terminology

Lesson 8-1: Circle Terminology

Week 1 Warm Up Add theorem 2.1 here next year.

Learning Target 17 Tangents Lesson 8-3: Tangents.

Lesson 8-1: Circle Terminology

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.

Presentation transcript:

C HORDS, S ECANTS, AND T ANGENTS 10.1 & 10.3

S ECANT A secant is a line that intersects a circle in two points. A tangent is a line that intersects the circle in exactly one point. T ANGENT

C HORDS, S ECANTS, AND T ANGENTS Secant Chord Tangent

C OMMON T ANGENTS A line, ray, or segment that is tangent to two coplanar circles is called a common tangent.

T HEOREM The tangent of a circle is perpendicular to radius at the point of tangency.

U SING T ANGENT L INES

T HEOREM Tangent segments from a common external point are congruent.

T HEOREM In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

T HEOREM If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

T HEOREM 10.5 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

W HAT IS THE MEASURE OF A RC CD IN THE FIGURE BELOW ?

T HEOREM In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

W HAT IS THE VALUE OF X FOR THE CIRCLE BELOW ?