The image shows a coordinate plane with three triangles labeled A, B, and C. Each triangle is plotted in a different quadrant of the coordinate plane. Here are the details: Triangle A: Located in the second quadrant, connected by solid orange lines. Triangle B: Located in the third quadrant, connected by dotted blue lines. Triangle C: Located in the first quadrant, connected by dashed green lines. Each triangle has a corresponding letter inside it, and the coordinate plane features labeled axes with arrows indicating the positive directions of the x and y axes. The grid lines help to identify the coordinates of the vertices of each triangle.\

Question

Select the rule that maps Figure A
onto Figure B
.

(1 point)
Responses

ry=0
r subscript y equals 0 baseline

ry−axis
r subscript y axis baseline

R90°
upper R subscript 90 degrees baseline

rx=0

Answer 1

To determine the transformation that maps Triangle A (located in the second quadrant) to Triangle B (located in the third quadrant), we can analyze the positions of the triangles related to the axes.

1. Understanding the Coordinate Changes:

   • Triangle A is in the second quadrant, meaning its vertices have a negative x-coordinate and a positive y-coordinate.
   • Triangle B is in the third quadrant, meaning its vertices have both negative x and y coordinates.

2. Identifying the Transformation:

   • To move from the second quadrant (A) to the third quadrant (B), we need to reflect the triangle across the x-axis (which is represented by the transformation \( r_{x=0} \)).
   • This reflection changes the signs of the y-coordinates while keeping the x-coordinates the same, effectively moving the triangle from the second quadrant to the third quadrant.

Thus, the rule that maps Figure A onto Figure B is:

rx=0 (reflection across the x-axis).