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ACT Math 4.2 Coordinate Geometry 260 Views


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ACT Math: Coordinate Geometry Drill 4, Problem 2. If we translate the rectangle as described, where will point A's image be?

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Transcript

00:02

Here's your shmoop du jour,

00:04

Rectangle ABCD has vertices as follows.

00:07

If we translate this rectangle 4 units right

00:11

and 2 units down, where is point A's image?

00:14

And here are the possible answers...

00:19

OK. The point is, we're just going to pick up the rectangle where it is right now, and relocate

00:20

The point is, we're just going to pick up the rectangle where it is right now, and relocate

00:20

The point is, we’re just going to pick up the rectangle where it is right now, and relocate

00:24

it at a new position. And the new position is 4 units right and

00:28

2 units down. Well, moving to the left and right is shifting

00:32

the x. And up and down is changing the y value. The original position of A is (-4, 6). Going

00:40

to the right is increasing the x value, so

00:43

4 plus negative 4 is 0, so the new x coordinate of point A is 0. That means we can eliminate

00:50

options B, D, and E. Moving down decreases the y value, so we subtract

00:55

2 from the original y. 6 -- 2 is 4, so the new y coordinate is 4.

01:00

The new location of point A is (0, 4)- option A.

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