Question

Triangle ABX was transformed to triangle A'B'X'. Which sequence of transformations could have been used?

A) Reflection over the x-axis, followed by a translation.
B) Rotation 180 degrees counterclockwise around the origin, followed by a reflection over the y-axis.
C) Translation, followed by a dilation.
D) Rotation 90 degrees counterclockwise around the origin, followed by a reflection over the y-axis.

Answer 1

The correct sequence of transformations is rotation and reflection.

Step-by-step explanation:

The correct sequence of transformations that could have been used to transform triangle ABX to triangle A'B'X' is option D) Rotation 90 degrees counterclockwise around the origin, followed by a reflection over the y-axis.

Step-by-step explanation:

Rotation 90 degrees counterclockwise around the origin changes the position of the vertices, resulting in triangle ABX being rotated to a new position.

Reflection over the y-axis flips the triangle across the y-axis, changing the orientation of the vertices.