Coordinate Geometry and Nets Unit Test
Given the coordinates (15,-3), (19, -6), and (15, -10), what would be the length of the vertical side, in centimeters?
(1 point)
cm



Answer :

To calculate the length of the vertical side formed by two points in a coordinate system, we have to look at the difference between the y-coordinates of those points, assuming that their x-coordinates are the same (because that's the condition for the side to be vertical).

Given the coordinates (15, -3) and (15, -10):
- The first point is indicated as A with coordinates A(x₁, y₁) = (15, -3).
- The second point is indicated as C with coordinates C(x₂, y₂) = (15, -10).

Since both points A and C have the same x-coordinate (15), the line segment connecting these two points is vertical. To find the length of the vertical side, we only need to look at the y-coordinates (because the x-coordinate doesn't change, and thus there's no horizontal component to this side).

So, to calculate the length of the vertical side, we use the following formula:

Length = |y₂ - y₁|

Applying the coordinates to the formula, we get:

Length = |(-10) - (-3)|

We simplify the expression by calculating the difference:

Length = |-10 + 3|
Length = |-7|

The absolute value of -7 is 7.

So the length of the vertical side is 7 centimeters.