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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.

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TaeKwonDoIsDead

Answer:

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

Step-by-step 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)

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