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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Secants, Tangents, and Angle Measures

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Exercise 47 Page 767

If two segments from the same exterior point are tangent to a circle, then they are congruent and have the same measure.

8

Practice makes perfect

Consider the given diagram.

If two segments from the same exterior point are tangent to a circle, then they are congruent and have the same measure. We can use this fact to write an equation in terms of x. 2x+1=3x-7 Let's solve this equation!

2x+1=3x-7

LHS-2x=RHS-2x

1=x-7

LHS+7=RHS+7

8=x

Rearrange equation

x=8

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Exercises p.763-767