Question

6-27. Erin started with one corner of a figure located at (−4, 5) and translated it to end at (6, 8). To find

out how far the shape moved horizontally, she decided to find the difference between the two xcoordinates. She wrote: 6 − (−4).

Answer 1

• The horizontal move of the shape was 10 units to the right,

Step-by-step explanation:

The problem requires that you find how far the shape was moved horizontally.

To find the horizontal translation of the shape, you must subtract the x-coordinate of the original corner (the pre-image) from the x-coordinate of the final corner (the image)

Final corner (image):

• Coordinates: (6,8)
• x-coordinate: 6

Original corner (preimage):

• Coordinate: (-4,5)
• x-coordinate: -4

Translation:

• Difference = 6 - (-4), which is what Erin wrote

• Simplify: 6 + 4 = 10

Thus, the horizontal move of the shape was 10 units to the right.