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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

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TANGENTS A line is tangent to the circle only if it is perpendicular to the radius drawn to the point of tangency

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Is AD tangent or not tangent? No, point D is not tangent to the circle.

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Is AB tangent or not tangent? Use Pythagorean Theorem to find out. Yes 68 2 + 51 2 = 85 2

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

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

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

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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

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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

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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

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P. 207

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Solve for x. 7.1 6 x

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EF EG

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Solve for x. Round to the nearest tenth.

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Party Hat Problems (Tangent/Tangent)

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

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C P

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T S Q P N R

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? Homework

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Section 10 – 1 Use Properties of Tangents. Vocabulary Circle – A set of all points that are equidistant from a given point called the center of the circle.

Section 10 – 1 Use Properties of Tangents. Vocabulary Circle – A set of all points that are equidistant from a given point called the center of the circle.

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