Question

Big Brainers Unite and redeem your points!

Answer 1

Answer:  (6,4) and (5,5). Choice C.

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Explanation:

Check out the diagram below for a visual.

The line x = 2 is a vertical line in which every point on this line has x coordinate 2. Two points on this line are (2,0) and (2,1).

The point (-2,4) is 4 units away in the horizontal direction from the line x = 2. Basically we start at (-2,4) and move 4 units to the right to arrive at (2,4). Move 4 more units to arrive at (6,4).

In short: we reflect (-2,4) over the line x = 2 and it lands on (6,4)

We see that choice C must be the answer as no other answer choices have (6,4). So if you are pressed for time, you can stop here.

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Let's keep going for the sake of completeness

We'll follow the same steps for the point (-1,5).

Move 3  units to the right to go from (-1,5) to (2,5). The goal again is to reach the vertical line x = 2

Then move another 3 units to the right to arrive at (5,5)

(-1,5) reflects over x = 2 to land on (5,5).