Question

directions: use this information to answer parts a and b.
the coordinates of a figure are transformed using the rule (x, y)→( - x, - y).
part a
which transformation is given by the rule?
a 180° clockwise rotation about the origin
a 90° counter - clockwise rotation about the origin
a reflection across the y - axis
a reflection across the x - axis
part b
the given rule is used to transform the triangle below.
use the polygon tool to graph the image of the given triangle on the coordinate plane.

Explanation:

For Part A, the rule $(x,y)\to(-x, -y)$ represents a 180 - degree rotation about the origin. A reflection across the y - axis has the rule $(x,y)\to(-x,y)$ and across the x - axis has the rule $(x,y)\to(x, -y)$. A 90 - degree counter - clockwise rotation about the origin has the rule $(x,y)\to(-y,x)$. For Part B, to graph the image of the triangle using the rule $(x,y)\to(-x, -y)$, we take each vertex of the original triangle, change the sign of its x - coordinate and y - coordinate, and then plot the new vertices and connect them to form the new triangle.

Answer:

Part A: A 180 - degree rotation about the origin
Part B: Use the described coordinate - changing method to graph the new triangle with the Polygon Tool.