Homework Review Tangents

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Presentation transcript:

Homework Review Tangents

No points of intersection (same center) Concentric Circles Same center but different radii

More Pythagorean Theorem type problems! Yeah!!  Point of Tangency More Pythagorean Theorem type problems! Yeah!!  If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

1. Find x A 12 B 9 a2 + b2 = c2 x 92 + 122 = x2 x = 15

RQ = 16 2. Find RQ a2 + b2 = c2 P 12 8 R Q 122 + (QR)2 = (8+12)2

3. Is BC tangent to the circle? a2 + b2 = c2 ? No A 32 C 16 24 B

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

4. Find x R S T

5. Find x R S T

6. Find x. B A C P D E

7. Find NP N T S P R Q

CW/HW Worksheet