Question

Consider your construction of pentagon ABCED. What segments, if any, are perpendicular? Explain how you made your determination

Answer 1

Sine AB is perpendicular to sides AE and BC/

Explanation:

The slope is the change in y over the change in x.

Line segment AE has a slope of 3/4

(0,4)(4,7)

The y values are 7 and 4.

The x values are 4 and 0.

You find the change by subtracting

`(7-4)/(4-0)` =
`(3)/(4)`

Line segment BC has the same slope

((3,0)(7,3)

The y values are 3 and 0.

The x values are 7 a d 3.

You find the change by subtracting

`(3-0)/(7-3)` =
`(3)/(4)`

Since line segments Ae and BC has the same slope. They are parallel.

Line segments that are perpendicular will have opposite reciprocals slopes. In this case the slope should be -
`(4)/(3)`.

Let's look at line segment AB

(0,4)(3,0)

The y values are 0 and 4.

The x values are 3 and 0.

You find the change by subtracting

`(0-4)/(3-0)` =
`(-4)/(3)`

Since the slopes are opposite reciprocals, side AB is perpendicular to sides AE and BC