Question

look at the four triangles graphed below.
graph of four triangles a, b, c, d on a coordinate plane with x and y axes
what is the name of the single transformation that takes triangle a to triangle d?
a. rotation
b. reflection across the y - axis
c. reflection across the x - axis
d. translation

Explanation:

Triangle A is in the second quadrant, and triangle D is in the fourth quadrant. A reflection across the y-axis would take A to B (same y-level, opposite x-side), reflection across the x-axis would take A to a triangle directly below it (not D's position), and translation only shifts without changing orientation. A 180° rotation around the origin maps the second quadrant to the fourth quadrant, matching A to D's position and orientation change. Thus, the single transformation is rotation.

Answer:

A. rotation