Question

True or false: When a figure on a coordinate grid is translated down and to the right, the vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the largest y-coordinate in the image.(1 point)

This statement is false. The relative values of the coordinates of the vertices depend on how far the figure is translated.

This statement is false. The vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the smallest y-coordinate in the image.

This statement is false. The vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the largest x-coordinate in the image.

This statement is true.

Answer 1

The correct option is;

This statement is true

Explanation:

The given transformation are;

1) Vertical translation, y units down

2) Horizontal translation x units right

Therefore, the equivalent transformation is
`T_((x, -y))`

Whereby the coordinates of the of the point on the preimage with the largest y-coordinates are (a, b), we have;

The coordinate of the corresponding point on the image = (a + x, b - y)

Given that the value of b is larger than the the y-coordinates values of al the points on the preimage, therefore, the value of b - y, will be the largest of the y-coordinates values on the image