Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

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Presentation transcript:

Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance: City planning and interior design

Review: Write it down again so you don’t have to look for it.

Example 1: Using the Perpendicular Bisector Theorem A) What is AB?B) What is QR?

The distance from a point to a line is the length of the perpendicular segment from the point to the line.

Example 2: Using Angle Bisector Theorem A) What is RM?B) What is FB?

Note the difference… An angle bisector contains all the points equidistant from 2 LINES. A perpendicular bisector contains all of the points equidistant from 2 POINTS.

Example 3: Writing equations of bisectors Write the equation in point slope form for the perpendicular bisector of the segment with the endpoints A(-1, 6) and B(3, 4). Then write your equation in standard form.

5-1 Classwork Heading: 5-1 CW textbook Pg 316 – 317 #12 – 17, 20, 22 There will be no 5-1 HW