Question

HELP!! Identify the transformation from ABC to A'B'C'.

1. Reflection over the y-axis
2. 90 degree rotation
3. 270 degree rotation
4. Reflection over the x-axis

Answer 1

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

Explanation:

Reflection over the x-axis

Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).

The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.