Question

which graph has figures that can undergo a similarity transformation to justify that they are similar?

Explanation:

To determine which graph has similar figures via a similarity transformation, we analyze each:

1. First Graph: The figures are a square and a larger "L - shape"—not similar (different shapes).
2. Second Graph: Both are rectangles. Check side ratios:

• Small rectangle: Let’s say length \( l_1 \), width \( w_1 \).
• Large rectangle: Length \( l_2 \), width \( w_2 \).

If \( \frac{l_2}{l_1} = \frac{w_2}{w_1} \) (same scale factor) and angles are equal (all rectangles have \( 90^\circ \) angles), they are similar.

1. Third/ Fourth Graphs: Likely have non - proportional side ratios (e.g., one might stretch unevenly), so not similar.

The second graph (with two rectangles) has figures that can undergo a similarity transformation (scaling + translation/rotation) to be similar, as rectangles have equal angles and proportional sides.

Answer:

The second graph (the one with two rectangles, the second from the left)