Reflections on a grid

Front

What is a reflection in geometry?

Back

A reflection is when you flip or mirror an object across a line.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

A'(-2, 3).

Front

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

Back

B'(-4, 5).

Front

What is the line of reflection?

Back

The line of reflection is the line across which a figure is flipped to create a mirror image.

Front

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

Back

A'(-1, 2), B'(-3, 4), C'(-5, 6).

Front

What is the effect of reflecting a point across the origin?

Back

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

Front

If point C(0, 5) is reflected over the x-axis, what are the new coordinates?

Back

C'(0, -5).

Front

What is the relationship between the original figure and its reflection?

Back

The original figure and its reflection are congruent and equidistant from the line of reflection.