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

Back

The coordinates of the reflected point will be (x, -y).

Front

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

Back

The coordinates of the reflected point will be (-x, y).

Front

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

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The result is the point (3, -4).

Front

What is the result of reflecting the point (-2, 5) over the y-axis?

Back

The result is the point (2, 5).

Front

What is the reflection of the triangle with vertices A(1, 2), B(3, 4), C(5, 6) over the x-axis?

Back

The reflected triangle has vertices A'(1, -2), B'(3, -4), C'(5, -6).

Front

What is the reflection of the triangle with vertices A(2, 3), B(4, 5), C(6, 7) over the y-axis?

Back

The reflected triangle has vertices A'(-2, 3), B'(-4, 5), C'(-6, 7).