Reflections Over the X-Axis and Y-Axis Explained!

What property of a geometric figure remains unchanged after a reflection?

• Size

• Orientation

• Position

• Both size and shape

If a point P has coordinates (x, y), what are the coordinates of its image P' after a reflection over the x-axis?

• (x, y)

• (x, -y)

• (-x, y)

• (-x, -y)

If a point P has coordinates (x, y), what are the coordinates of its image P' after a reflection over the y-axis?

• (-x, y)

• (x, y)

• (x, -y)

• (-x, -y)

What happens to a point that lies directly on the line of symmetry when it is reflected?

• It moves to the opposite side of the line.

• It remains in its original position.

• Its x-coordinate changes, but its y-coordinate stays the same.

• Its y-coordinate changes, but its x-coordinate stays the same.

What are the coordinates of the image of point P(2, 8) after a reflection across the line y = 5?

• (2, 2)

• (2, 5)

• (2, 1)

• (2, 0)

A point A has coordinates (3, -4). What are the coordinates of A' after a reflection across the line y = x?

• (-3, 4)

• (4, -3)

• (-4, 3)

• (3, 4)

Point K is located at (-5, 1). If K is reflected across the line y = -x, what are the coordinates of K'?

• (1, -5)

• (-1, 5)

• (5, -1)

• (-1, -5)

Which of the following best describes a reflection in geometry?

• A transformation that slides a figure to a new location without changing its orientation.

• A transformation that turns a figure around a fixed point.

• A transformation that creates a mirror image of a figure across a line.

• A transformation that changes the size of a figure.