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 over the y-axis?

Back

The coordinates become (-x, y).

Front

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

Back

The coordinates become (x, -y).

Front

If point A(3, 4) is reflected over the y-axis, what are the coordinates of A'?

Back

A' is (-3, 4).

Front

If point B(-2, 5) is reflected over the x-axis, what are the coordinates of B'?

Back

B' is (-2, -5).

Front

What is the result of reflecting the point (0, 0) over any axis?

Back

The result is still (0, 0).

Front

How do you determine the image of a triangle after reflection?

Back

Reflect each vertex of the triangle across the line of reflection to find the new coordinates.

Front

If triangle ABC is reflected over the x-axis, what happens to the y-coordinates of its vertices?

Back

The y-coordinates of the vertices are multiplied by -1.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.

Front

If a point C(1, -3) is reflected over the y-axis, what are the coordinates of C'?

Back

C' is (-1, -3).