To determine which rule maps Figure A onto Figure B, we need to analyze how the figures are oriented in the coordinate plane and how they relate to the transformations indicated by the responses:
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R90° (Rotation 90 degrees): This rotation turns a figure 90 degrees counterclockwise around the origin.
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ry−axis (Reflection across the y-axis): This reflection flips the figure over the y-axis, changing the sign of the x-coordinates.
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rx=0 (Reflection across the x-axis): This reflects the figure over the x-axis, changing the sign of the y-coordinates.
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ry=0 (Reflection across the line y=0): This is essentially the same as the reflection across the x-axis.
To identify the correct transformation, you should consider how the coordinates of the points in Figure A would change to match those in Figure B based on each of the transformations.
Without visual representation, I can't definitively conclude which transformation is correct, but you should look for:
- If Figure B appears rotated compared to Figure A, choose R90°.
- If Figure B appears to be a mirror image of Figure A across the y-axis, choose ry−axis.
- If Figure B appears to be flipped over the x-axis, choose rx=0 or ry=0 (they are equivalent).
Apply this reasoning based on your visual observation of Figures A and B to select the correct response.