Reflections

What happens when an ordered pair is reflected over any line?

- Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure. The line of reflection will lie directly in the middle between the original figure and its image. - each point of the original figure and its image are the same distance away from the line of reflection. You may be able to simply "count" these distances on the grid.

What's a Glide Reflection?

-In 2-dimensional geometry, a glide reflection is a symmetry operation that consists of a reflection over a line and then translation along that line, combined into a single operation. - basically, it's an object reflected over a line and then translated (left, right, up, or down)

What happens to an ordered pair when reflected over the line y= -x?

-The reflection of the point (x,y) across the line y = -x is the point (-y, -x). -If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

What happens to an ordered pair when reflected over the line y=x?

-The reflection of the point (x,y) across the line y = x is the point (y, x). -When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

What happens to an ordered pair when you reflect it across the x-axis?

-The reflection of the point (x,y) across the x-axis is the point (x,-y). -When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

What happens to an ordered pair when you reflect it across the y-axis?

-The reflection of the point (x,y) across the y-axis is the point (-x,y). -When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

What happens when you reflect over the origin?

-When you reflect a point in the origin, both the x-coordinate and the y-coordinate are negated (their signs are changed).

What does a reflection differ with the original object?

-the figures face in opposite directions. -the objects appear as if they are mirror reflections, with right and left reversed.

What is a reflection?

A transformation where each point in a shape appears at an equal distance on the opposite side of a given line - the line of reflection

What does a reflection share with the original object?

same shape and size

How do you label a reflection on a coordinate plane?

using a prime symbol, such as A'B'C'.