Question

Point D(−1, 5) is reflected across the x-axis.

Which statements about D' are true?

Select each correct answer.

The y-coordinate is−5.

The x-coordinate is −1.

The y-coordinate is 5.

The x-coordinate is 1.

Answer 1

The answers are A and B, -5 and -1. Hope this helps!

Answer 2

The coordinates of D' are (-1, -5)

Solution-

The coordinates of D are (-1, 5).

While reflecting any points across the x-axis with coordinates as (x, y) becomes, (x, -y). i.e sign of y-coordinate changes.

The rule is (x, y) → (x, -y)

Applying so, after reflecting point D, its reflection D' will have coordinates as (-1, -5)

Therefore, the y-coordinate is -5.