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 is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis or y-axis.

Front

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

Back

A' will be (x, -y).

Front

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

Back

B' will be (-x, y).

Front

What is the mapping notation for reflecting a point over the y-axis?

Back

The mapping notation is (x, y) → (-x, y).

Front

What is the mapping notation for reflecting a point over the x-axis?

Back

The mapping notation is (x, y) → (x, -y).

Front

If a triangle has vertices at A(2, 3), B(4, 5), and C(6, 1), what are the coordinates of A' after reflection over the x-axis?

Back

A' will be (2, -3).

Front

What happens to the coordinates of a point when it is reflected over the line y = x?

Back

The coordinates of the point (x, y) become (y, x).

Front

If point P(3, 4) is reflected over the line y = x, what are the coordinates of P'?

Back

P' will be (4, 3).

Front

What is the effect of reflecting a figure over the x-axis followed by the y-axis?

Back

The figure will be reflected to the opposite quadrant, changing both x and y coordinates to their negatives.