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In geometry, points are called collinear if they all lie on the same line. What, no bunk beds?
ACT Math 4.2 Coordinate Geometry 260 Views
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Description:
ACT Math: Coordinate Geometry Drill 4, Problem 2. If we translate the rectangle as described, where will point A's image be?
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...
Full Transcript
- 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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