Question

If AB = 15 inches then find the distance of A'B' after a reflection over the x-axis and a rotation of 135° clockwise.
A'B=__INCHES

Answer 1

When performing a reflection over the x-axis and then a rotation of 135° clockwise, the distance between points \( A' \) and \( B' \) will remain the same as the distance between points \( A \) and \( B \). This is because both reflection and rotation are rigid transformations, meaning they preserve distances.

Since the distance \( AB = 15 \) inches, the distance \( A'B' \) after the transformations will also be 15 inches.

Therefore,
\[
A'B' = 15 \text{ inches}.
\]