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# circles - PowerPoint PPT Presentation

circles. 10.1 Tangents to Circles. Circle Radius Diameter Chord Secant Tangent. Write the following down. Tangent. Circle. Radius. Diameter. Chord. Secant. Based on the picture write your own definitions….

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## PowerPoint Slideshow about 'circles' - milica

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Presentation Transcript

### circles

10.1 Tangents to Circles

• Circle

• Diameter

• Chord

• Secant

• Tangent

Write the following down

Circle

Diameter

Chord

Secant

Based on the picture write your own definitions…

• Talk to the person NEXT TO YOU about what you got for each of your definitions.

a set of all points in a plane that are equidistant from a given point

distance from the center to a point on a circle.

Diameter –

the distance across a circle through the center.

• Chord –

• a segment whose endpoints are on the circle.

• Is the diameter a chord?

• Yes, but it passes through the center of the circle.

• Secant –

• a line that intersects a circle in two points.

• Tangent –

• a line that intersects a circle at exactly one point.

2

2

Congruent?

CD

d

Common Internal Tangent – Intersects the segment that joins the centers of the two circles.

D

C

j

m

Common External Tangent – Does not intersect the segment that joins the centers of the two circles.

A

B

Common Tangents

n

16 point.

12

20

Is the segment tangent to the circle?

• 144 + 256 = 400 point.

• It’s a right triangle!

• So the segment is

perpendicular.

So the segment is tangent.

16

12

20

Pythagorean thm.

10 point.

12

15.5

Is the segment tangent to the circle?

10

12

15.5

Pythagorean thm.

B point.

16 ft

r

C

A

r

8 ft

Find the radius, given that BC is tangent to the circle, and therefore perpendicular to the radius.

When will the point.purple segment be equal to the corresponding black segment?

A point.

C

B

Draw! (If two segments from the same exterior point are tangent to a circle, then they are congruent.

CA = CB

2x + 10 point.

4x - 15

Find x

2x + 10

4x - 15

Find x

### Homework point.

Pg. 599: 18-28, 36-41, 46-48