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

ry−axis
r subscript y axis baseline

rx=0
r subscript x equals 0 baseline

ry=0
r subscript y equals 0 baseline

R90°

Answer 1

To determine the rule that maps Figure A onto Figure B, we need to consider the positions of the triangles in their respective quadrants. Here are the implications of each transformation:

1. ry-axis (Reflection over the y-axis): This transformation would flip the triangle left to right.
2. rx=0 (Reflection over the y-axis): This is essentially the same as the first option, indicating reflection across the y-axis.
3. ry=0 (Reflection over the x-axis): This would flip the triangle up to down.
4. R90° (Rotation 90 degrees): This would turn the triangle around a point, changing its position in the coordinate plane significantly.

Since different triangles are in different quadrants, the most likely transformations are reflections. Without seeing the actual triangles, if both triangles in quadrants 1 and 3 (and potentially the triangle in quadrant 2) are involved and need to stay in similar relative positions within their quadrants, you'd likely choose reflection over the y-axis (option 1 or 2).

If one triangle is in quadrant 1 and another in quadrant 2, a vertical line reflection would correctly map them. Therefore, the correct transformation rule likely is:

ry-axis (Reflection over the y-axis).

This option should be confirmed with the image, but generally, reflections in the y-axis successfully interchange the positions of triangles between quadrants 1 and 2 and will affect any shapes in quadrants 3 and 4 similarly.