Question

figure abcd and its image, figure fghj, are shown. which transformation of figure abcd produced figure fghj?

reflection across a horizontal line

vertical translation

horizontal translation

reflection across a vertical line

Explanation:

To determine the transformation, we analyze each option:

• Reflection across a horizontal line: Would flip the figure vertically, but the orientation here doesn’t match that (e.g., the slanted side direction wouldn’t reverse this way).
• Vertical translation: Moves the figure up/down, but the figure’s orientation (left/right slant) changes, which translation doesn’t do.
• Horizontal translation: Moves the figure left/right, but translation preserves orientation (slant direction would stay the same), which it doesn’t here.
• Reflection across a vertical line: Flips the figure horizontally. The original figure ABCD has a slanted side on the left (AB), and the image FGHJ has the slanted side on the right (FG), indicating a horizontal flip (reflection over a vertical line) that reverses the left - right orientation.

Answer:

D. reflection across a vertical line