Question

various dilations of square a are shown. which square was obtained by dilating square a by the scale factor of 3? a square b b square c c square d d square e

Explanation:

To determine which square is a dilation of square A by scale factor 3, we first find the side length of square A. From the grid, assume square A has a side length of, say, 2 units (visually, counting grid squares). A dilation by scale factor 3 would multiply the side length by 3, so \( 2\times3 = 6 \) units. Now, check the side lengths of the other squares:

• Square B: Likely side length 4 (too small for scale factor 3).
• Square C: Likely side length 1 (too small).
• Square D: Likely side length 2 (same as A, not scaled by 3).
• Square E: Likely side length 6 (matches \( 2\times3 \)). So Square E is the dilation of A by scale factor 3.

Answer:

D. Square E