Question

which graph shows a dilation? three coordinate - plane graphs (with x - y axes) containing rectangular/square shapes, each with a circular selection button are presented below the question.

Explanation:

Step1: Recall Dilation Definition

Dilation is a transformation that scales a figure (changes size) while keeping the center of dilation fixed (usually origin here, as figures are centered at axes intersection) and preserving the shape (similar figures, same proportions).

Step2: Analyze Each Graph

• First graph: Inner and outer rectangles have same proportions (length/width ratio same), centered at origin. Scaled version (dilation).
• Second graph: Inner is square, outer is rectangle—different proportions (not similar), so not dilation.
• Third graph: Inner and outer have different proportions (e.g., height/width ratio differs), not dilation.

Answer:

The first graph (with the two rectangles centered at the origin, same proportions, different sizes) shows a dilation.