Reflections in the Coordinate Plane

The video tutorial covers reflections in the coordinate plane, focusing on how points can be reflected across axes or lines of reflection. It reviews the four quadrants and ordered pairs, demonstrating reflections of points A and M. The tutorial explains how to measure distances in reflections and concludes with a preview of the next lesson on finding distances using absolute value.

What is a reflection in the context of a coordinate plane?

• A point that is scaled by a factor

• A point that is mirrored across an axis or line

• A point that is rotated around an axis

• A point that is moved to a new location

Which quadrant is located at the top right of the coordinate plane?

• Quadrant II

• Quadrant I

• Quadrant IV

• Quadrant III

If a point (3, 5) is reflected across the x-axis, what will be its new coordinates?

• (3, 5)

• (-3, 5)

• (3, -5)

• (-3, -5)

When a point is reflected across the y-axis, which coordinate changes?

• Neither coordinate

• Both coordinates

• The y-coordinate

• The x-coordinate

How can you verify that a point and its reflection are equidistant from the axis?

• By measuring the distance with a ruler

• By estimating visually

• By folding the paper along the axis

• By using a protractor

What happens to the y-coordinate when a point is reflected across the x-axis?

• It remains the same

• It becomes the opposite value

• It becomes zero

• It doubles

If point M is at (4, 1) and is reflected across the y-axis, what are the new coordinates?

• (4, -1)

• (4, 1)

• (-4, 1)

• (-4, -1)

What is the distance between a point and its reflection across the y-axis if the original point is 3 units from the y-axis?

• 3 units

• 12 units

• 6 units

• 9 units

When reflecting a point across the y-axis, which coordinate remains unchanged?

• The y-coordinate

• The x-coordinate

• Both coordinates

• Neither coordinate

What is the result of reflecting a point (2, 3) across both the x-axis and y-axis?

• (2, 3)

• (2, -3)

• (-2, -3)

• (-2, 3)