Question

Look at the four triangles graphed below.

image ca71cf4006c046558b1c25f4be9b6c76

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

Answer 1

The name of the single transformation that takes triangle A to triangle D is a reflection across the x-axis.

Step-by-step explanation:

The single transformation that takes triangle A to triangle D is a reflection across the x-axis (C).

To see this, we can look at the position of each vertex of triangle A and compare it to the corresponding vertex in triangle D. We can observe that the x-coordinates of each vertex in triangle D are the same as the x-coordinates of the corresponding vertices in triangle A, but the y-coordinates are the opposite. This indicates a reflection across the x-axis, where each point is mirrored across the x-axis and maintains the same x-coordinate but has the opposite y-coordinate.