Question

Which of these graphs shows a transformation that is a​ rotation?
A
B
C
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5
10
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x
y



x y graph
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x
y



x y graph
-10
-5
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-10
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x
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x y graph
Question content area bottom
Part 1
Graph
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A
B
C
shows a transformation that is a rotation.

Answer 1

To determine which graph shows a transformation that is a rotation, we need to consider how points would change position based on rotational transformations.

A rotation around a point (typically the origin in coordinate graphs) will involve each point on the graph moving along a circular path around that point, meaning that the distance from the center of rotation remains the same while changing the angle.

Since I cannot view the images of the graphs (A, B, or C), I can suggest the following steps for you to identify which transformation is a rotation:

1. **Look at Points**: Check whether all points have moved around a fixed point (the center of rotation). If they are all equidistant from this center and the angles they make with the axes have changed, it indicates a rotation.

2. **Check Shapes**: If a shape appears to have been turned while maintaining its distance from a center, it is likely a rotation.

3. **Look for Symmetry**: In some cases, certain symmetrical properties can help identify rotations. If a figure looks the same after a certain degree of rotation about a point, that’s evidence of a rotation.

4. **Compare Angles**: If you can identify any angles formed between the coordinates of the points before and after, if they have been rotated around a point, you'll see changes in those angles.

If you follow these steps on the graphs presented, you should be able to identify which graph (A, B, or C) shows a transformation that is a rotation.