Question

How are the properties of reflection used to transform a figure?

Answer 1

Answer: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). ... 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.

Step-by-step explanation:

Answer 2

Answer:

The properties of reflection are used when we want to reflect a figure across a specific line, it can be across y-axis, x-axis, y = x or y = -x.

In either case, the result is a reflection, that is, those lines will work as a mirror, having the same shape and size but reflected across the line.

It's important to say that a reflection is a rigid transformation, which means the shape or size of the figure won't chance.

If we want to reflect across the y-axis, the transformation is:

$(x,y) \implies (-x,y)$

Across the x-axis: $(x,y) \implies (x,-y)$

Across the line y = x: $(x,y) \implies (y,x)$

Across the line y = -x: $(x,y) \implies (-y,-x)$.