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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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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?

No, point D is not tangent to the circle.


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 out.

No

82 + 162 192


Solve for x.

x2 + 962 = 1002

x = 28

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


Solve for x.

x2 + 482 = 802

x = 64

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


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


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


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


P. 207


Solve for x.

7.1

x

6


EF

EG


Solve for x. Round to the nearest tenth.


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


Solve for x


Solve for x


Solve for x

C

P


Find NP

N

T

S

P

R

Q


Homework

?


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