Question

The Larson's tent corners have the coordinates (0,5), (5,5), (5,0), (0,0). They want to move it 5 units right and 2 units up. What are the new coordinates of the tent corners.

Answer 1

The new coordinates are (5,7), (10,7), (10,2), (5,2)

Explanation:

If we have coordinates (x,y), we can do the following transformations:

• a units up means (x, y+a)
• a units down means (x, y - a)
• b units right means (x + b, y)
• b units left means (x - b, y)

We see that UP/DOWN affects the y coordinate and RIGHT/LEFT affects the x coordinate. When we will have combination of both, we follow the rules with both.

Now,

5 units right will affect x coordinate [add 5]

2 units up will affect y coordinate [add 2]

We do these with 4 coordinates respectively. Shown below:

(0,5) ---------> (5,7)

(5,5) ---------> (10,7)

(5,0) ---------> (10,2)

(0,0) ---------> (5,2)