Question

rectangle abcd is reflected over the x - axis to form rectangle abcd. what is the length of side ad? type the answer in the box. units

Explanation:

Step1: Recall reflection property

Reflection over the x - axis is a rigid transformation. Rigid transformations preserve side - lengths. So, \(A'D'=AD\).

Step2: Count grid units for \(AD\)

Count the number of grid units between points \(A\) and \(D\) vertically. The \(y\) - coordinate of \(A\) is \(- 2\) and the \(y\) - coordinate of \(D\) is \(-5\). The length of \(AD=\vert-2-(-5)\vert=\vert-2 + 5\vert = 3\) units. So the length of \(A'D'\) is 3 units.

Answer:

3