 # Welcome back. Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft.

## Presentation on theme: "Welcome back. Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft."— Presentation transcript:

Welcome back. Warm up Use 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. Yes 68 2 + 51 2 = 85 2

Is AB tangent or not tangent? Use Pythagorean Theorem to find out. No 8 2 + 16 2  19 2

BC is a radius of Circle C AB is tangent to Circle C Solve for x. x 2 + 96 2 = 100 2 x = 28

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x 2 + 48 2 = 80 2 x = 64

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x 2 + 32 2 = (x + 16) 2 32x = 768 x = 24

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x 2 + 56 2 = (x + 32) 2 64x = 2112 x = 33

Solve for x. BC is a radius of Circle C AB is tangent to Circle C x 2 + 99 2 = (x + 81) 2 162x = 3240 x = 20

P. 207

Solve for x.  7.1 6 x

EF EG

Solve for x. Round to the nearest tenth.

Party Hat Problems (Tangent/Tangent)

R S T If two segments from the same exterior point are tangent to a circle, then they are congruent. Party hat problems!

C P

T S Q P N R

? Homework

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