Reflections in Geometry

This video tutorial covers the concept of reflecting figures in the coordinate plane. It explains how to identify reflections, find coordinates of reflected figures, and use coordinates to reflect figures in the x or y-axis. The tutorial includes examples of reflecting triangles and pentagons, demonstrating the process of finding new coordinates after reflection. The video also distinguishes between reflections and translations, providing a comprehensive understanding of reflections as transformations that create mirror images.

What is the line called that acts as a mirror in a reflection?

• Line of translation

• Line of symmetry

• Line of reflection

• Axis of rotation

When reflecting a figure in the x-axis, what happens to the y-coordinate?

• It becomes negative

• It remains the same

• It becomes zero

• It doubles

How can you tell if a figure is a reflection rather than a translation?

• The figure is smaller

• The figure is larger

• The figure is rotated

• The figure is a mirror image

What is the new coordinate of point (3, 4) after reflecting it in the x-axis?

• (3, -4)

• (-3, 4)

• (-3, -4)

• (3, 4)

What is the new coordinate of point (1, 1) after reflecting it in the y-axis?

• (1, 1)

• (-1, -1)

• (-1, 1)

• (1, -1)

In a reflection over the y-axis, what happens to the x-coordinate?

• It becomes zero

• It remains the same

• It becomes negative

• It doubles

What is the coordinate of point Q after reflecting the pentagon in the y-axis if Q is originally at (-2, 0)?

• (-2, 0)

• (2, 0)

• (0, 2)

• (0, -2)

Which axis acts as the mirror when reflecting a figure in the y-axis?

• Line of symmetry

• X-axis

• Z-axis

• Y-axis

What is the result of reflecting point (0, 7) in the y-axis?

• (0, -7)

• (7, 0)

• (-7, 0)

• (0, 7)

What is the main difference between the original figure and its reflection in terms of coordinates?

• The x-coordinates are doubled

• The y-coordinates are halved

• The x-coordinates are negated

• The y-coordinates are negated