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What is the correct choice:  translation 7 units to the right and 3 units down
A rotation 90° clockwise about the origin
A rotation 90° counterclockwise about the origin
A translation 7 units to the left and 3 units up

To determine which transformation maps Figure O to Figure P, let's carefully analyze the positions of the two figures:

1. **Position of Figure O**: The original figure (O) is located in the first quadrant.
2. **Position of Figure P**: The transformed figure (P) is located in the second quadrant.

### Transformation Analysis:
1. **Translations** involve moving the figure without rotating it. Comparing the shapes of Figure O and Figure P:
   - Figure P is not simply a translation of Figure O. The orientation of Figure P is different from Figure O, indicating some kind of rotation.

2. **Rotation**:
   - If we rotate Figure O by **90° counterclockwise** about the origin, the shape should end up in the second quadrant, with the same orientation and relative distances from the origin as Figure P. This matches the transformation observed.

   - **90° clockwise rotation** would place the figure in the fourth quadrant, which is not the case here.

### Conclusion:
The correct transformation is **a rotation of 90° counterclockwise about the origin**.

Would you like further details or explanations?

Here are five related questions to deepen your understanding:
1. How would a 180° rotation about the origin affect the figures?
2. What is the effect of a reflection across the y-axis on Figure O?
3. How could we describe a translation transformation in vector form?
4. How would a reflection across the x-axis change the figure's orientation?
5. What is the general rule for counterclockwise rotation by 90° about the origin?

**Tip**: When identifying transformations, always observe both the figure’s orientation and position relative to the axes to distinguish between rotations and translations.

Figure P is the result of a transformation on Figure O. Which transformation would accomplish this? Choices: A translation 7 units to the right and 3 units down, A rotation 90° clockwise about the origin, A rotation 90° counterclockwise about the origin, A translation 7 units to the left and 3 units up.

Analyze the transformation that maps Figure O to Figure P. This question involves geometric transformations such as rotations and translations, and is suitable for students in Grades 8-10. Learn how to identify transformations by comparing orientations and positions of figures.

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