Question

Drag and drop the answers into the boxes to correctly complete the statement.

A sequence of transformations that maps △ABC to △A′B′C′ is a ___________ followed by a ______________

choices
Reflection across the Y axis
rotation of 180° about the origin
translation two units write
rotation of 90° counterclockwise about the origin

Answer 1

Explanation:

Rotation of 90° CCW about the origin (the last choice) will leave the figure in a position that is 2 units left of where it is shown.

Answer 2

The sequence of vertices ABC is clockwise, as is the sequence of A'B'C'. Hence an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB is toward the right. The orientation of A'B' is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin (the last choice) will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

The appropriate choices are ...

• rotation of 90° counterclockwise about the origin

followed by ...

• translation two units right