Reflections

Front

What is a reflection in geometry?

Back

A reflection in geometry 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. Points on the figure are equidistant from this line.

Front

How do you reflect a point (x, y) over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the reflected point is (-x, y).

Front

How do you reflect a point (x, y) over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate: the reflected point is (x, -y).

Front

What are the coordinates of the reflection of point (3, 4) over the x-axis?

Back

The reflection of point (3, 4) over the x-axis is (3, -4).

Front

What are the coordinates of the reflection of point (-2, -5) over the y-axis?

Back

The reflection of point (-2, -5) over the y-axis is (2, -5).

Front

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

Back

The coordinates after reflecting over the x-axis are A'(1, -2), B'(3, -4), and C'(5, -6).

Front

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

Back

When a point (x, y) is reflected over the line y = x, the coordinates switch places: the reflected point is (y, x).

Front

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

Back

The reflection of point (0, 0) over any axis is still (0, 0).

Front

How do you find the reflection of a point across a line?

Back

To find the reflection of a point across a line, you can use geometric constructions or algebraic methods to determine the point that is equidistant from the line.