Reflection in Geometry

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

What is the definition of reflection in geometry?

• Rotating a figure around a fixed point

• Flipping a figure over a line

• Stretching a figure in one direction

• Sliding a figure to a new position

If a figure coincides with its image after reflection, it is said to have:

• Rotational symmetry

• Translational symmetry

• Reflection symmetry

• Glide reflection symmetry

Flipping a figure is a ...

• Rotation

• Reflection

• Dilation

• Translation

In a coordinate plane, reflecting a point (x, y) over the x-axis results in:

• (y, x)

• (-x, y)

• (x, -y)

• (-x, -y)

A triangle with vertices at (0, 0), (3, 0), and (0, 4) is reflected over the line y = x. What are the coordinates of the reflected triangle?

• (0, 0), (0, 3), (4, 0)

• (0, 0), (3, 3), (4, 4)

• (0, 0), (3, 0), (4, 0)

• (3, 3), (0, 3), (3, 0)

The distance between a point and the line of reflection is:

• Always equal to the distance between its image and the line of reflection

• Always greater than the distance between its image and the line of reflection

• Always less than the distance between its image and the line of reflection

• Not related to the distance between its image and the line of reflection

In a reflection, corresponding angles are:

• Complementary

• Supplementary

• Congruent

• Always acute

The line segment joining a point to its image is:

• Parallel to the line of reflection

• Perpendicular to the line of reflection

• Always horizontal

• Always vertical

If point A is 5 units away from the line of reflection, its image A' will be:

• 2.5 units away from the line of reflection

• 5 units away from the line of reflection

• 10 units away from the line of reflection

• It depends on the angle of reflection