Question

Find the vertices of the image after the indicated glide reflection. Triangle DEF has vertices of D(0,4),E(-1,3), and F(-4,5). Translate along {4,0} and reflect in the y-axis.

Answer 1

Answer and Step-by-step explanation:

To find the vertices of the image after the indicated glide reflection, we can follow these steps:

1. Translate the triangle:

- We need to translate the triangle along the vector {4,0}.

- To do this, add 4 to the x-coordinates of each vertex.

- The new coordinates for D, E, and F will be (4, 4), (3, 3), and (0, 5) respectively.

2. Reflect the translated triangle in the y-axis:

- To reflect the translated triangle, we need to change the sign of the x-coordinates.

- The x-coordinate for D will be -4, for E will be -3, and for F will be 0.

Therefore, the vertices of the image after the indicated glide reflection are:

D'(-4, 4)

E'(-3, 3)

F'(0, 5)