Question

A structural engineer needs to determine the projection of a support beam's endpoint E (5, −1, 4) reflected over the xz−plane.

What are the coordinates of this projection?

Responses

(5, 1, 4)
left parenthesis 5 comma 1 comma 4 right parenthesis

(5, −1, 0)
left parenthesis 5 comma negative1 comma 0 right parenthesis

(5, 0, 4)
left parenthesis 5 comma 0 comma 4 right parenthesis

(0, −1, 5)

Answer 1

Reflecting across the xz-plane (y = 0) changes y to its negative and leaves x and z unchanged. So (5, −1, 4) → (5, 1, 4).