Reflections

Front

What is a reflection in geometry?

Back

A reflection in geometry is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What are the two main axes used for reflections in a Cartesian coordinate system?

Back

The two main axes are the x-axis (horizontal) and the y-axis (vertical).

Front

How do you determine the coordinates of a reflected point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates will be (x, -y).

Front

How do you determine the coordinates of a reflected point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates will be (-x, y).

Front

What is the effect of reflecting a shape across the x-axis?

Back

Reflecting a shape across the x-axis inverts the y-coordinates of all points in the shape.

Front

What is the effect of reflecting a shape across the y-axis?

Back

Reflecting a shape across the y-axis inverts the x-coordinates of all points in the shape.

Front

If a triangle has vertices at (2, 3), (4, 5), and (6, 1), what are the coordinates of the triangle reflected over the x-axis?

Back

The reflected coordinates will be (2, -3), (4, -5), and (6, -1).

Front

If a triangle has vertices at (2, 3), (4, 5), and (6, 1), what are the coordinates of the triangle reflected over the y-axis?

Back

The reflected coordinates will be (-2, 3), (-4, 5), and (-6, 1).

Front

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

Back

The original shape and its reflection are congruent, meaning they have the same size and shape but are oriented differently.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create its mirror image.