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ACT Math 5.1 Coordinate Geometry 212 Views


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Description:

ACT Math: Coordinate Geometry Drill 5, Problem 1. Simplify the expression.

Language:
English Language

Transcript

00:02

Here's your shmoop du jour...

00:04

The origin is translated to the left three  spaces and down five spaces.

00:09

It is then rotated 90° counterclockwise about the origin.

00:14

What are its new coordinates? And here are your potential answers...

00:21

Ok so this problem is just testing whether you can...visualize.

00:24

The origin, remember, is point zero, zero... and it lives right here on the graph.

00:29

Now we translate, or scoot over... 3 spaces to the left.

00:33

So we go 1 2 3 and get here; and now we move it down five spaces... 1 2 3 4 5... here.

00:38

We need to rotate it 90 degrees COUNTER clockwise.

00:43

So we're gonna move 90 degrees in THIS direction...

00:46

Just imagine that there's a string tied from the origin to the little point here.

00:51

Now put a clock face on it and it's 7 o'clock.

00:54

We want 4 o'clock, because from here to here is a right angle... or 90 degrees.

00:59

If we do that, then our point now exists at 5, negative 3...

01:02

...and voila - the answer is B.

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