Theorem
If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
If …
Then …
You will prove Theorem 5-4 in Exercise 34.
Theorem
If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.
If …
Then …
You will prove Theorem 5-5 in Exercise 35.
Algebra What is the length of
Know | Need | Plan |
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The length of
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Use the Angle Bisector Theorem to write an equation you can solve for x. |
Now find RM.
How can you use the expression given for RP to check your answer?
Substitute 5 for x in the expression