Question
Select the rule that maps Figure A onto Figure B . (1 point) Responses rx=0 r subscript x equals 0 baseline R90° upper R subscript 90 degrees baseline ry−axis r subscript y axis baseline ry=0 r subscript y equals 0 baseline Skip to navigation
Answers
GPT-4o mini
To determine the rule that maps Figure A onto Figure B, we need to consider various transformations such as reflections, rotations, and translations.
1. \( r_{x=0} \): This represents a reflection across the y-axis.
2. \( r_{90^\circ} \): This represents a rotation of 90 degrees clockwise.
3. \( r_{y-axis} \): This explicitly refers to a reflection across the y-axis as well (similar to \( r_{x=0} \)).
4. \( r_{y=0} \): This represents a reflection across the x-axis.
To choose the correct mapping, you can analyze the orientation and position of both figures.
- If Figure A and Figure B are symmetric with respect to the y-axis, the appropriate transformation would be one of the reflections either \( r_{x=0} \) or \( r_{y-axis} \).
- If Figure A is rotated 90 degrees to match Figure B, then you would choose \( r_{90^\circ} \).
- If the figures are symmetric with respect to the x-axis, then you would choose \( r_{y=0} \).
Without visual information about Figures A and B, we cannot definitively determine the correct mapping rule. However, you can apply the reasoning above to identify the correct transformation based on the figures' attributes.
1. \( r_{x=0} \): This represents a reflection across the y-axis.
2. \( r_{90^\circ} \): This represents a rotation of 90 degrees clockwise.
3. \( r_{y-axis} \): This explicitly refers to a reflection across the y-axis as well (similar to \( r_{x=0} \)).
4. \( r_{y=0} \): This represents a reflection across the x-axis.
To choose the correct mapping, you can analyze the orientation and position of both figures.
- If Figure A and Figure B are symmetric with respect to the y-axis, the appropriate transformation would be one of the reflections either \( r_{x=0} \) or \( r_{y-axis} \).
- If Figure A is rotated 90 degrees to match Figure B, then you would choose \( r_{90^\circ} \).
- If the figures are symmetric with respect to the x-axis, then you would choose \( r_{y=0} \).
Without visual information about Figures A and B, we cannot definitively determine the correct mapping rule. However, you can apply the reasoning above to identify the correct transformation based on the figures' attributes.