10-5: Tangents.

Slides:

Advertisements

Similar presentations

10.1 Tangents to Circles.

Advertisements

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.

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.

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.

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.

8-1B Circles and Tangent Lines When you have a line and a circle in the same plane, what three situations are possible? What is a secant line? What is.

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

Use Properties of Tangents

 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.

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.

TANGENTS 9.6a. WY is tangent to circle C. Point A is called the point of tangency. AC is perpendicular to WY. W Y.

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.

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

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.

Sect Tangents to Circles

Properties of Tangents

Section 10.5 Notes: Tangents Learning Targets Students will be able to use properties of tangents. Students will be able to solve problems involving.

Geometry Circles Circles.

Do Now Find the area and circumference of each circle 1) )

CIRCLES Chapter 10.

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

Chapter 10: Properties of Circles

Chords, secants and tangents

Tangent Lines A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The point where a circle and.

12-1 Tangent Lines.

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

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.

Day 2 of Circles 11-1 Tangent Lines.

Geometry CP Mrs. Mongold

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

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.

Day 2 of Circles 11-1 Tangent Lines.

Tangents to Circles.

More Pythagorean Theorem type problems! Yeah!! 

Geometry Section 10.1.

36. Tangents to Circles.

Secant Radius Diameter Chord Tangent

Secant Radius Diameter Chord Tangent

More Pythagorean Theorem type problems! Yeah!! 

To recognize tangents and use the properties of tangents

Tangents to Circles.

12.1 Tangent Lines By Brit Caswell.

Tangents to Circles Advanced Geometry.

Section 10-1 Tangents to Circles.

30. Tangents to Circles.

Tangents Solve problems involving circumscribed polygons.

Presentation transcript:

10-5: Tangents

Definitions tangent – a line that intersects the circle at just one point. point of tangency – the intersection point. If a radius and a tangent intersect, they are perpendicular.

EX: Segment BC is tangent to circle A at point B. Find AC.

Theorem: If a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle.

EX: Is BC tangent to circle A?

Theorem: If two segments from the same exterior point are tangent to a circle, then they are congruent.

EX: Find x.

EX: If EC=3DF, find the perimeter of triangle ADC

Assignment: p. 556; 8-20, 23-26, 37-40