Trapezoid K prime is the image of trapezoid K after a series of transformations.

On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7).

Bella and Marco described the sequence of transformations in different ways.

Bella’s Sequence

Marco’s Sequence

1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation

2. a rotation of 180 degrees about the origin

3. a translation of 1 unit down

1. a reflection of trapezoid K across the x-axis

2. a dilation by a scale factor of Three-halves with the origin as the center of dilation

3. a translation of 1 unit down

Which sequence or sequences are correct and why?

1. Only Bella is correct.

2. Only Marco is correct.

3. Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used.

4. Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.