Transformations: Translations and Reflections

Warm-Up Icon Section Warm-Up

This section will draw on your ability to graph figures on a coordinate plane.  Let’s review that now.

think icon Think & Click: Section Warm-Up

Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

1. Plot the points X (1, 3), Y (-3, 4) and Z (3, -2) on the coordinate plane.

Point A (0, 3) and point A prime (4, 1)
The points X, Y and Z

 

2. Describe how to get from point A to point A’.  How are their coordinates related?

 The points X (1, 3), Y (negative 3, 4) and Z (3, negative 2)
Points A and A’

 

A’ is 4 units to the right and 2 units down from point A.  The x-coordinate of point A’ (x = 4) is 4 more than the x-coordinate of point A (x = 0).  The y-coordinate of point A’ (y = 1) is 2 less than the y-coordinate of point A (y = 3).

3. Describe the difference between point B and point B’. How are their coordinates related?

Point B (negative 2, 4) and point B prime (4, negative 2)
Points B and B’

 

B is to the left and up from the origin, while B’ is to the right and down from the origin.  Their coordinates are switched, (-2, 4) and (4, -2).