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

What happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The coordinates become (-x, y).

Front

What is the rule for reflecting a point across the line y = x?

Back

The coordinates (x, y) become (y, x).

Front

What is the rule for reflecting a point across the line y = -x?

Back

The coordinates (x, y) become (-y, -x).

Front

If point A(2, 3) is reflected across the x-axis, what are the new coordinates?

Back

A' is (2, -3).

Front

If point B(-4, 5) is reflected across the y-axis, what are the new coordinates?

Back

B' is (4, 5).

Front

What is the effect of reflecting a triangle across the x-axis?

Back

The y-coordinates of the triangle's vertices are inverted.

Front

If triangle ABC is reflected across the line y = x, what happens to the vertices?

Back

The x and y coordinates of each vertex are swapped.

Front

What is the image of the point (3, -2) when reflected across the y-axis?

Back

The image is (-3, -2).