Welcome back.

Warm upUse Pythagorean Theorem to find the missing side.

Round to the nearest tenths.

8.2 yd

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.

Yes682 + 512 = 852

Is AB tangent or not tangent?

Use Pythagorean Theorem to find out.

No82 + 162 192

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

Solve for x.

x2 + 962 = 1002

x = 28

Solve for x.

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

x2 + 482 = 802

x = 64

Solve for x.

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

x2 + 322 = (x + 16)2

32x = 768x = 24

Solve for x.

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

x2 + 562 = (x + 32)2

64x = 2112x = 33

Solve for x.

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

x2 + 992 = (x + 81)2

162x = 3240x = 20

P. 207

AB CD

QS

GD GF

Solve for x.

6x 7.16x

EF EG

Solve for x. Round to the nearest tenth.

5 7 18

5

x

x

Party Hat Problems(Tangent/Tangent)

R

S

T

TSRS If two segments from

the same exterior point are tangent to a circle, then they are

congruent.

Party hat problems!

22 x

11 1122 x92 x

3 3 xorx

152 x

x14

15x

C

3

4

7XX

P

TS

Q10 4

18NP

P

N

R

12

?

Homework