Question

rectangle abcd is graphed in the coordinate plane. the following are the vertices of the rectangle: a(-8, -6), b(-3, -6), c(-3, -4), and d(-8, -4). given these coordinates, what is the length of side ab of this rectangle? units

Explanation:

Step1: Identify coordinates of A and B

Point A: \((-8, -6)\), Point B: \((-3, -6)\)

Step2: Check y - coordinates

Both points have the same y - coordinate (\(y=-6\)), so AB is a horizontal line segment.

Step3: Calculate length of AB

For a horizontal line segment, length is the absolute difference of x - coordinates.
Length \(=\vert x_B - x_A\vert=\vert-3-(-8)\vert=\vert-3 + 8\vert=\vert5\vert = 5\)

Answer:

5