Lesson 9.2A R.4.G.5 Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving.

Slides:

Advertisements

Similar presentations

Radius- Is the edge to the middle of the circle. Diameter- It goes throw the whole center of the circle.

Advertisements

GEOMETRY Circle Terminology.

Lesson 10.1 Parts of a Circle Today, we are going to…

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.

Lesson 5 Circles.

Tangents, Arcs, and Chords

The given distance is called the radius

Unit 25 CIRCLES.

CIRCLES 2 Moody Mathematics.

Review Ch. 10 Complete all problems on a separate sheet of paper.

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.

The Power Theorems Lesson 10.8

By Mark Hatem and Maddie Hines

Chapter 11. If 2 sides of a triangle are radii then the triangle is ______________.

Circles Chapter 10.

P DIAMETER: Distance across the circle through its center Also known as the longest chord.

Formulas for Angles in Circles

Warm Up Section 4.5 Find x: xoxo xoxo 70 o 32 o xoxo xoxo 100 o x 12 xoxo 45 o.

Tangents to Circles (with Circle Review)

B D O A C Aim: What is a circle? Homework: Workbook page 370

9.1 Circles and Spheres. Circle: ______________________________ ____________________________________ Given Point:______ Given distance:_______ Radius:

11-3 Inscribed Angles Objective: To find the measure of an inscribed angle.

Arcs and Angles Continued

Circle Is the set of all points equidistant from a given point called the center. The man is the center of the circle created by the shark.

Pg 651. A chord is a line segment with each endpoint on the circle A diameter is a chord that passes through the center of the circle. A secant of a circle.

The Many Parts of a Circle A B T Secant Tangent Chord.

 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.

Review May 16, Right Triangles The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the.

Circles Chapter 9. Tangent Lines (9-1) A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The.

6.3 – 6.4 Properties of Chords and Inscribed Angles.

Angles, Circles, and parts of Circles. secant: a line, ray, or segment that contains a chord chord: segment has endpoints on circle tangent: a line, ray,

Lesson 7.3. If the diameter of a circle is 15 units in length, how long is the circle's radius?(answer in a decimal)

Circles Chapter 12.

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.

Section 10.1 Theorem 74- If a radius is perpendicular to a chord, then it bisects the chord Theorem 74- If a radius is perpendicular to a chord, then it.

Tangents to CirclesCircles Secants and Tangents Secant 2 points of intersection Tangent 1 point of intersection Point of Tangency.

11.1 Angles and Circles Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles. Warm-up (IN)

Lesson 8-1: Circle Terminology

Circles Vocabulary Unit 7 OBJECTIVES: Degree & linear measure of arcs Measures of angles in circles Properties of chords, tangents, & secants.

Circles Review: Properties, Angles and Segments

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.

CIRCLES Everything you wanted to know and then some!!

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

Learning About Circles Circle n An infinite set of coplanar points that are an equal distance from a given point. O M M.

Circles Modified by Lisa Palen. Definitions Circle The CENTER of the circle is the point that is the same distance to every point on the circle. The distance.

Circles Chapter 10 Sections 10.1 –10.7.

Chapter 10 Circles – 5 10 – 6.

 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.

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

C HAPTER Circles and Circumference 10.2 Angles and Arcs 10.3 Arcs and Chords 10.4 Inscribed Angles 10.5 Tangents 10.6 Secants, Tangents, and Angle.

Copyright © Cengage Learning. All rights reserved. 12 Geometry.

1. Assume that lines that appear tangent are tangent. Find the value of x.

Objectives: To use the relationship between a radius and a tangent To use the relationship between two tangents from one point.

Chapter 7 Circles. Circle – the set of all points in a plane at a given distance from a given point in the plane. Named by the center. Radius – a segment.

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.

Ch 10 goals and common core standards Ms. Helgeson

Tangent and Chord Properties

Circles Definitions.

Lesson 10.6 – Secants, Tangents, and Angle Measure

11.4 Angle Measures and Segment Lengths

Parts of Circles Dictionary

Tangent and Chord Properties

Angle Measures and Segment Lengths

Tangent and Chord Properties

9-6 Other Angles.

CIRCLES AND ANGLES Section 10-4, 10-6 spi.3.3.A, spi.3.3.B

Bell Ringer Write an example of each of the following:

Presentation transcript:

Lesson 9.2A R.4.G.5 Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles

Intercepted Arc A piece of a circle contained between the two rays of an angle Central Angle An angle inside a circle with its vertex at the center of the circle Inscribed Angle An angle inside a circle with its vertex on the circle

Arc measures always given in degrees. The measure of a central angle is equal to the measure of the intercepted arc. The measure of the inscribed angle is one half of the measure of the intercepted arc. A tangent line is always perpendicular to the radius or diameter drawn to the point of tangency.

Find the value of the variables: xoxo A C B xoxo A C B 30 O

Find the value of the variables: 150 o A B xOxO yoyo A C B 60 O

Given that AB is tangent to the circle, find the value of x. 37 o xoxo A B C

Given that CD is tangent to the circle, find the value of x. xoxo 72 o C D E

Given that AB and AD are both tangent to the circle, find the value of x. 140 o xoxo A B D C

Given that PQ and PS are both tangent to the circle, find the value of x. 150 o xoxo P Q S T

Remember, the radius of a circle never changes, regardless of what point on the circle it’s drawn to.

Find the value of x, given circle O and the following segment lengths: AC = 16, OB = 12, OE = x. If your answer is not an integer, round to the nearest tenth. x AC B O E

Find the value of x, given circle O and the following segment lengths: AC = 50, OB = 20, OE = x. If your answer is not an integer, round to the nearest tenth. x AC B O E

Find the value of x, given circle P and the following segment lengths: MN = 35, PS = 10, ST = x. If your answer is not an integer, round to the nearest tenth. M N S P T

Find the value of x, given circle P and the following segment lengths: MN = 18, PS = 5, ST = x. If your answer is not an integer, round to the nearest tenth. M N S P T