Question

which transformation was applied to figure a to form figure b?
a. figure a was rotated 90° clockwise about the point n to form figure b.
b. figure a was rotated 90° counterclockwise about the point n to form figure b.
c. figure a was translated 4 units down to form figure b.
d. figure a was reflected across line m to form figure b.

Explanation:

• Option A: Rotating 90° clockwise about point \(N\) would change the orientation of the trapezoid in a way that is not consistent with the transformation from \(A\) to \(B\).
• Option B: Rotating 90° counter - clockwise about point \(N\) would also not result in the mirror - like image of \(A\) (which is \(B\)).
• Option C: Translating 4 units down would just move the trapezoid down without flipping it. But \(B\) is a mirror image of \(A\) with respect to line \(m\).
• Option D: A reflection across line \(m\) (a horizontal line) would create a mirror image. If we consider the properties of reflection (distance of each point of \(A\) from line \(m\) is the same as the distance of the corresponding point of \(B\) from line \(m\) but on the opposite side), this is the correct transformation.

Answer:

D. Figure A was reflected across line \(m\) to form figure \(B\).