Which statement explains the relationship of sides ba and b'a' after rectangle badc has been rotated 90° clockwise about the origin? side b'a' has a slope of −1 and is perpendicular to side ba. side b'a' has a slope of 1 and is parallel to side ba. side b'a' has a slope of 1 and is perpendicular to side ba. side b'a' has a slope of −1 and is parallel to side ba.

Option A. Side B'A' has a slope of −1 and is perpendicular to side BA.

Step-by-step explanation:

The rotation by the angle 90° clockwise about the origin has the rule:

So the vertices A, B, C and D have images

Find the slope of the line B'A':

Find the slope of the line BA:

Since lines A'B' and AB are perpendicular.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

no this is a nonlinear negative