ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Geometry Videos 251 videos
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...
It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a...
ACT Math 5.1 Coordinate Geometry 212 Views
Share It!
Description:
ACT Math: Coordinate Geometry Drill 5, Problem 1. Simplify the expression.
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.
Full Transcript
- 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.
Related Videos
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...