Question

1. what transformations are shown from the smaller image to the larger image?○ dilation by a scale factor of ¼ and rotation of 90° clockwise○ rotation of 90° clockwise and translation to the left○ dilation by a scale factor of 2 and rotation of 90° counterclockwise○ translation to the right and then dilation by a scale factor of 50%

Explanation:

Step1: Analyze scale factor

Small triangle side length = 3, large = 6. Scale factor: $\frac{6}{3}=2$

Step2: Analyze rotation/orientation

Small triangle: vertex A top-right; large triangle: vertex A top-left. This matches 90° counterclockwise rotation. Also, the large triangle is positioned below/right, consistent with translation.

Step3: Eliminate wrong options

• Option1: Scale factor 1/4 shrinks, incorrect.
• Option3: Scale factor 2 expands, rotation matches, correct.
• Option4: Scale factor 50% shrinks, incorrect.

Answer:

dilation by a scale factor of 2 and rotation of 90° counterclockwise