Reflecting Points on a Coordinate Plane

This lesson teaches how to predict the reflection of a point on a coordinate plane by changing one or more values in an ordered pair. It covers the concept of quadrants, their unique positioning system (UPS), and how to reflect points across the y-axis and x-axis. Examples are provided to illustrate the reflection process, and tips are given for predicting the location of reflected points using the UPS of each quadrant.

What is the purpose of the unique positioning system (UPS) in each quadrant?

• To identify the color of each quadrant

• To help plot ordered pairs accurately

• To determine the size of each quadrant

• To calculate the distance between points

When reflecting a point from Quadrant I to Quadrant II, which axis is the reflection across?

• No axis

• z-axis

• y-axis

• x-axis

In the example of reflecting the point (-2, 4) to Quadrant III, which value changes?

• Both x and y values

• y value

• x value

• Neither x nor y values

If a point (5, 1) is reflected by changing the y value, in which quadrant will it fall?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What happens to the coordinates when both x and y values are changed to positive?

• The point moves to Quadrant I

• The point moves to Quadrant III

• The point moves to Quadrant II

• The point moves to Quadrant IV