Question

The points (-2, 4) and (-2,-2) are vertices of a heptagon.

Explain how to find the length of the segment formed by
these endpoints. How long is the segment?

Answer 1

Find the distance

`\\ \tt\longmapsto √((x_2-x_1)^2+(y_2-y_1)^2)`

`\\ \tt\longmapsto √((-2+2)^2+(-2-4)^2)`

`\\ \tt\longmapsto √((-6)^2)`

`\\ \tt\longmapsto √(36)`

`\\ \tt\longmapsto 6units`

Answer 2

• 6 units

Explanation:

It is assumed that the points represent consecutive vertices.

These points have equal x- coordinates so the distance between them is the absolute value of difference of the y-coordinates:

• d = |-2 - 4| = | - 6| = 6 units