Use the image to answer the question.

Question

Three triangles are graphed on a coordinate plane: one in quadrant 1, one in quadrant 2, and one in quadrant 3.

Select the rule that maps Figure A
onto Figure B
.

(1 point)
Responses

R90°
upper R subscript 90 degrees baseline

ry−axis
r subscript y axis baseline

rx=0
r subscript x equals 0 baseline

ry=0
r subscript y equals 0 baseline

Answer 1

To determine which transformation maps Figure A onto Figure B, we need to analyze the position of each triangle in the given quadrants.

• If Figure A is in quadrant 1 and Figure B is in quadrant 2, we would expect a reflection across the y-axis, represented as \( r_{y \text{-axis}} \).
• If Figure A is in quadrant 1 and Figure B is in quadrant 3, a rotation would be involved, possibly \( R_{90^\circ} \) or another transformation depending on the specific coordinates.
• The \( r_{x=0} \) and \( r_{y=0} \) transformations reflect across the y-axis and x-axis respectively, which would not typically lead to a movement from quadrant 1 to another quadrant unless accompanied by additional transformations.

Given that the key transformation from quadrant 1 to quadrant 2 requires flipping across the y-axis, the correct rule that maps Figure A onto Figure B is:

\( r_{y \text{-axis}} \) (reflection across the y-axis).