3-1 Reflections

What is a line of reflection?

• A line of reflection is a line that divides an object into two equal halves.

• A line of reflection is a line that rotates an object around it.

• A line of reflection is a line that stretches or compresses an object.

• A line of reflection is a line that acts as a mirror, reflecting an object or shape across it.

What are the properties of reflection transformations?

• Reflection transformations do not preserve angles between lines

• Reflection transformations have the properties of preserving distances between points, preserving angles between lines, having a fixed line called the line of reflection, and each point and its reflection being equidistant from the line of reflection.

• Reflection transformations do not preserve distances between points

• Reflection transformations do not have a fixed line of reflection

What is reflection in the coordinate plane?

• Transformation that rotates a figure around a point

• Transformation that moves a figure without changing its shape or size

• Transformation that stretches or shrinks a figure

• Transformation that flips a figure over a line

True or False: Reflection transformations preserve the size and shape of a figure.

• Only for regular polygons

• False

• Sometimes

• True

True or False: Reflection in the coordinate plane involves flipping a figure over a line of reflection.

• True

• Reflection involves rotating a figure

• True

• False

• point C

• point B

• point E

• point A

• (4, 2)

• (4, -2)

• (2, 4)

• (-2, -4)

• (-3, 4)

• (3, 4)

• (-3, -4)

• (3, -4)

The point (4, 2) reflected over the x-axis has the image point:

• (4, 2)

• (-4, -2)

• (-4, 2)

• (4, -2)