The problem asks to determine which transformation of the red triangle maps it onto the missing piece of the square. Based on the image and transformations listed:

1. Translation (Option A): Moving the triangle 16 units to the right does not align it correctly.

2. Reflection across the y-axis (Option B): Reflecting across the y-axis would mirror the triangle, which does not align it with the missing part of the square.

3. 90° counterclockwise rotation about the origin (Option C): Rotating the triangle counterclockwise results in a mismatch in alignment.

4. 90° clockwise rotation about the origin (Option D): Rotating clockwise places the triangle into the correct orientation and location.

5. 180° rotation about the origin (Option E): This would place the triangle upside down, so it doesn’t fit the missing space.

Correct Answer:

D. 90° clockwise rotation about the origin

Would you like further explanation on this?

Here are 5 related questions to deepen your understanding:

1. How do rotations differ from reflections in transformations?
2. What rules define a 90° clockwise rotation about the origin?
3. How can we use coordinates to verify transformations mathematically?
4. What is the difference between translation and rotation in geometry?
5. Why does a 180° rotation fail to match the triangle to the missing piece?

Tip: Always analyze the positions of vertices to confirm transformations accurately.