Good morning!! 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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Presentation transcript:

Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft

HW Answers PracticeHW 1. arc AB1. a. angles DOC, BOC, BOA, AOD 2. arc ADBb. Arcs AB, ABC, AD, DC 3. arc PSQc. many degd. Arc BAD or BCD dege. AB, BE, BD degf. Angle AOD deg2. 30 deg, 150 deg deg deg, 227 deg deg4. 67 deg, 203 deg deg5. 70 deg, 200 deg deg deg deg deg, 82 deg

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 = 85 2

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

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

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

Common Tangents A line that is tangent to more than one circle is referred to as a common tangent. Both lines k and j are common tangents. k j Common External Tangents

Common Internal Tangents Common internal tangents intersect the line that connect the center of the circles whereas common external tangents do not intersect that line. Both line j and line k are common internal tangents. Common internal tangents

Congruent Tangent Lines Tangent Lines Theorem: If two segments from the same exterior point are tangent to a circle, then they are congruent. Name the congruent segments above!

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

CLASS WORK IF ON TASK, NO HW THIS WEEKEND!!! BIG IF! Homework