Question

Construct the perpendicular bisector for the segment in the following figure. What process did you use? Explain.

Answer 1

see below

Explanation:

use the midpoint formula

midpoint = (X₁ + X₂ , Y₁ + Y₂ )

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2 2

Answer 2

see below

Explanation:

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle.

To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

If you want to know how to find the perpendicular bisector of two points, just follow these steps

midpoint = (X₁ + X₂ , Y₁ + Y₂ )

2 2