A square with sides 6 units in length is reflected across the x-axis how long are the sides in the reflected figure

come on -- this is geometry.

The sides still have length 6.

Apologies for the confusion. You are right. When a shape is reflected across the x-axis, the x-coordinate remains the same and only the y-coordinate is inverted.

Therefore, the sides of the reflected figure will still have lengths of 6 units, just like the original square.

When a shape is reflected across the x-axis, the y-coordinates are inverted.

Since the original square has sides of length 6, the y-coordinate of each vertex is either 6 or -6.

When the square is reflected across the x-axis, each positive y-coordinate becomes negative and vice versa.

Therefore, the sides of the reflected figure will have lengths of -6 units.