Question

The red figure is the transformed image of the blue figure. Gloria correctly identifies a single transformation that can move the blue figure onto the red figure. Layla correctly identifies a sequence of two transformations that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.

Answer 1

Answer:

The answers are;

First the blue image is translated -2x to the second quadrant quadrant and image (-x, y)

Then it is rotated 180° to get the the red figure with coordinates (x, -y)

Step-by-step explanation:

Two transformation that is equivalent to a reflection

We note that the x-coordinate values remain the same while the y-coordinate values change from +y to -y

Therefore, the two transformations are;

First the blue image with coordinates (x, y) is translated by -2x using the transformation T(-2x, 0) to get (-x, y)

Then it is rotated 180° to get the point (x, -y) which is the coordinate of the pink image.