Intersections of Circles and Tangent Segments

Slides:

Advertisements

Similar presentations

10.1 Tangents to Circles.

Advertisements

Tangents and Circles. Tangent Definition A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point.

Lesson 6.1 Tangents to Circles

Section 9-2 Tangents.

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.

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.

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.

Circles > Formulas Assignment is Due. Center Circle: A circle is the set of all points in a plane that are equidistant from a given point called the center.

CIRCLES Chapter 10.

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.

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.

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.

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

 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.

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

Warm – up Session 48. EOCT Review Homework Review.

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.

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.

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.

TODAY IN GEOMETRY… Stats on Ch. 8 Test

Sect Tangents to Circles

Geometry Circles Circles.

Warm – up Session 28.

Copyright © 2014 Pearson Education, Inc.

CIRCLES Chapter 10.

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

Geometry 11.5 Solar Eclipses.

Chapter 10: Properties of Circles

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

Concentric and Tangent Circles

Lines that Intersect Circles

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.

EOC REVIEW Question of the Day.

Tangents to Circles.

Tangents Tangent - A line in the plane of a circle that intersects the circle in exactly one point. Point of Tangency – The point of intersection between.

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.

Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle (in a plane). equidistant C center Symbol: C.

Tangents to Circles.

More Pythagorean Theorem type problems! Yeah!! 

NOTES 10.4 Secants and Tangents

36. Tangents to Circles.

Secant Radius Diameter Chord Tangent

Secant Radius Diameter Chord Tangent

Challenge of the Day Find the Area

More Pythagorean Theorem type problems! Yeah!! 

Tangents to Circles.

Warmup- put on scratch paper!

Warm Up. What measure is needed to find the circumference or area

Tangents to Circles Advanced Geometry.

Section 10-1 Tangents to Circles.

30. Tangents to Circles.

AGENDA 1.) Agenda and Objectives 2.) Grouping and Definitions

EOC Practice Question of the Day.

Tangents Solve problems involving circumscribed polygons.

Presentation transcript:

Intersections of Circles and Tangent Segments

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

1. Find the value of x.

2. Find the value of x.

3. Find the value of x.

4. Find the value of x. B 3 A C 4 P D E

5. Find the length of NP. N 4 4 T S 10 8 P R Q

More Pythagorean Theorem type problems! Yeah!!  Point of Tangency More Pythagorean Theorem type problems! Yeah!!  If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

x = 15 92 + 122 = x2 leg2 + leg2 = hyp2 6. Find the value of x. A 12 B

RQ = 16 122 + (RQ)2 = 202 leg2 + leg2 = hyp2 7. Find the length of RQ. 8 R Q RQ = 16

8. Is CB tangent to the circle? leg2 + leg2 = hyp2? A 32 162 + 242 = 322 ? C 16 24 B No

r = 10 320 = 32r r2 + 242 = (r + 16)2 9. Find the radius. C r = 10 24 B

10. A green on a golf course is in the shape of a circle 10. A green on a golf course is in the shape of a circle. Your golf ball is 8 feet from the edge of the green and 32 feet from a point of tangency on the green. What is the radius? b) How far is your ball from the cup at the center? x = 60 ft. x = 68 ft.

Two circles can intersect: in two points one point or no points

TWO points of intersection

One point of intersection are called Tangent Circles Externally Tangent Internally Tangent

No points of intersection, but different centers

Have no points of intersection, but the same center Concentric Circles Have no points of intersection, but the same center Same center but different radii