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Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd. Welcome back. 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?.

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Presentation Transcript
Welcome back

Warm up

Use Pythagorean Theorem to find the missing side.

Round to the nearest tenths.

8.2 yd

Welcome back.

8.3 m

2.2 ft


Tangents
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
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
Is AB tangent or not tangent?Use Pythagorean Theorem to find out.

Yes

682 + 512 = 852


Is ab tangent or not tangent use pythagorean theorem to find out1
Is AB tangent or not tangent?Use Pythagorean Theorem to find out.

No

82 + 162 192


Bc is a radius of circle c ab is tangent to circle c

Solve for x.

x2 + 962 = 1002

x = 28

BC is a radius of Circle C AB is tangent to Circle C


Bc is a radius of circle c ab is tangent to circle c1

Solve for x.

x2 + 482 = 802

x = 64

BC is a radius of Circle C AB is tangent to Circle C


Bc is a radius of circle c ab is tangent to circle c2

Solve for x.

x2 + 322 = (x + 16)2

32x = 768

x = 24

BC is a radius of Circle C AB is tangent to Circle C


Bc is a radius of circle c ab is tangent to circle c3

Solve for x.

x2 + 562 = (x + 32)2

64x = 2112

x = 33

BC is a radius of Circle C AB is tangent to Circle C


Bc is a radius of circle c ab is tangent to circle c4

Solve for x.

x2 + 992 = (x + 81)2

162x = 3240

x = 20

BC is a radius of Circle C AB is tangent to Circle C



Solve for x
Solve for x.

7.1

x

6


EF

EG


Solve for x round to the nearest tenth
Solve for x. Round to the nearest tenth.


Party hat problems tangent tangent

Party Hat Problems(Tangent/Tangent)


S

Party hat problems!

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

R

T





Find NP

N

T

S

P

R

Q