Reflections

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

If a point (x, y) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates will be (-x, y).

Front

If a point (x, y) is reflected over the x-axis, what are the new coordinates?

Back

The new coordinates will be (x, -y).

Front

What happens to the orientation of a shape when it is reflected?

Back

The orientation of the shape changes; it becomes a mirror image.

Front

What is the image of the point (3, 4) when reflected over the y-axis?

Back

The image is (-3, 4).

Front

What is the image of the point (-2, 5) when reflected over the x-axis?

Back

The image is (-2, -5).

Front

If triangle ABC is reflected over the line y = x, what happens to the coordinates of point A (a, b)?

Back

The new coordinates will be (b, a).

Front

What is the relationship between a preimage and its image in a reflection?

Back

The preimage and its image are congruent but have different orientations.

Front

If point P(1, 2) is reflected over the line y = -1, what are the new coordinates?

Back

The new coordinates are (1, -4).

Front

What is the image of the point (0, 3) when reflected over the x-axis?

Back

The image is (0, -3).