Welcome back. Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft.

Slides:

Advertisements

Similar presentations

Secants and Tangents Lesson 10.4 A B T. A B A secant is a line that intersects a circle at exactly two points. (Every secant contains a chord of the circle.)

Advertisements

10.1 Tangents to Circles.

Mrs. McConaughyGeometry: Circles1 Tangent Properties During this lesson, you will determine and apply properties of tangents in circles.

Chapter 12.1 Tangent Lines. Vocabulary Tangent to a circle = a line in the plane of the circle that intersects the circle in exactly one point.

Section 9-2 Tangents.

Tangents Section Definition: Tangent  A tangent is a line in the plane of a circle that intersects the circle in exactly one point.

10.1 Use Properties of Tangents.  Circle - the set of all points in a plane that are equidistant from a given point.  Center - point in the middle 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.

Lesson 6.1 – Properties of Tangent Lines to a Circle

Tangency. Lines of Circles EXAMPLE 1 Identify special segments and lines Tell whether the line, ray, or segment is best described as a radius, chord,

Section 12.1: Lines That intersect Circles

Homework Review. CCGPS Geometry Day 26 ( ) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3.

9 – 2 Tangent. Tangents and Circles Theorem 9 – 1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of.

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.

Circles – Tangent Lines A tangent line touches a circle at exactly one point. In this case, line t is tangent to circle A. t A.

SIMILAR AND CONGRUENT. CONGRUENT FIGURES In order to be congruent, two figures must be the same size and same shape. ~ =

Geometry June 8, 2015Geometry 10.1 Tangents to Circles2 Goals  Know properties of circles.  Identify special lines in a circle.  Solve problems with.

12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the.

6.1 Use Properties of Tangents

Section 10.1 cont. Tangents. A tangent to a circle is This point of intersection is called the a line, in the plane of the circle, that intersects the.

Geometry Honors Section 9.2 Tangents to Circles. A line in the plane of a circle may or may not intersect the circle. There are 3 possibilities.

9.1 Introduction to Circles. Some definitions you need Circle – set of all points in a plane that are equidistant from a given point called a center of.

Warm – up Session 16 You also need to do the Graduation Exam Packet Page 2.

Properties of Tangents. EXAMPLE 1 Identify special segments and lines Tell whether the line, ray, or segment is best described as a radius, chord, diameter,

 The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle.

11-1 Tangent Lines Learning Target: I can solve and model problems using tangent lines. Goal 2.03.

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

Warm – up Session 48. EOCT Review Homework Review.

TISK & 2 MM Lesson 9-5: Tangents Homework: 9-5 problems in packet 2 Monday, February 11, 2013 Agenda

Tangent Applications in Circles More Problems Using Pythagorean Theorem.

Tangents. Definition - Tangents Ray BC is tangent to circle A, because the line containing BC intersects the circle in exactly one point. This point is.

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)

Warm Up Directions: Create your own definition for as many of the vocabulary words listed below. You may use diagrams in your explanations. circle radiusdiameter.

Wednesday, April 26, 2017 Warm Up

Intersections of Circles and Tangent Segments. R S T If two segments from the same exterior point are tangent to a circle, then they are congruent. Party.

9-5 Tangents Objectives: To recognize tangents and use properties of tangents.

Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft.

Tangents May 29, Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point.

CIRCLES Everything you wanted to know and then some!!

Warm Up 4. Label the circle with the following parts: radius, diameter, circumference.

Theorem 12-1: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. Point of tangencyA B O P.

Warm Up 3-7 Write the standard form equation of the circle.

Unit 7 - Circles Parts of a Circle Radius: distance from the center to a point on the circle  2 circles are  if they have the same radius radius Chord:

11.1; chord 22. tangent 23. diameter 24. radius

Chapter 10: Properties of Circles

Lesson 8-3 Tangents Lesson 8-3: Tangents.

Warm-Up #33 3. Find x. 1. What is the perimeter of a regular hexagon if one of the side is 10 inches. 2. Find x X = 36 degrees Perimeter = 60 units X =

t Circles – Tangent Lines

Section 10.1 Tangents to Circles.

Tangents to Circles A line that intersects with a circle at one point is called a tangent to the circle. Tangent line and circle have one point in common.

Lesson 8-3 Tangents.

10-5: Tangents.

Lesson 8-3 Tangents Lesson 8-3: Tangents.

Tangents to Circles.

Intersections of Circles and Tangent Segments

Homework Review Tangents

9-2 Tangents Theorem : If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

Tangents to Circles.

More Pythagorean Theorem type problems! Yeah!! 

36. Tangents to Circles.

Secant Radius Diameter Chord Tangent

Secant Radius Diameter Chord Tangent

More Pythagorean Theorem type problems! Yeah!! 

Tangents to Circles.

Missing Lengths of Similar Figures Practice

Warmup- put on scratch paper!

Tangents to Circles Advanced Geometry.

Section 10-1 Tangents to Circles.

Presentation transcript:

Welcome back. Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft

TANGENTS A line is tangent to the circle only if it is perpendicular to the radius drawn to the point of tangency

Is AD tangent or not tangent? No, point D is not tangent to the circle.

Is AB tangent or not tangent? Use Pythagorean Theorem to find out. Yes = 85 2

Is AB tangent or not tangent? Use Pythagorean Theorem to find out. No  19 2

BC is a radius of Circle C AB is tangent to Circle C Solve for x. x = x = 28

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x = 80 2 x = 64

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x = (x + 16) 2 32x = 768 x = 24

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x = (x + 32) 2 64x = 2112 x = 33

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x = (x + 81) 2 162x = 3240 x = 20

P. 207

Solve for x.  x

EF EG

Solve for x. Round to the nearest tenth.

Party Hat Problems (Tangent/Tangent)

R S T If two segments from the same exterior point are tangent to a circle, then they are congruent. Party hat problems!

C P

T S Q P N R

? Homework