Answer the questions about the perpendicular bisector below.

Given:

The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).

To find:

The perpendicular bisector of line segment DO.

Solution:

Midpoint formula:

The midpoint of DO is:

Therefore, the midpoint of DO is (4,2).

Slope formula:

Slope of DO is:

Therefore, the slope of DO is -1.

We know that the product of slopes of two perpendicular line is -1.

The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:

Therefore, the equation of the perpendicular bisector of DO is .

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2b2t

explanation:

2b2t