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ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Plane Geometry Drill 1, Problem 5. If two polygons have the same shape and size, they are what?
ACT Math: Plane Geometry Drill 3, Problem 5. How long would it take for the wheel to make two rotations?
All You Need to Know about Slopes of Parallel and Perpendicular Lines 2756 Views
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Description:
So many parallel and perpendicular lines all over the place, and none of them have been labeled. Which begs the question: whose lines are they, anyway?
Transcript
- 00:04
Slopes of parallel and perpendicular lines, a la Shmoop. [title page]
- 00:08
Two magician's apprentices have turned their master into a bear--which is a problem, because [magician turns into bear]
- 00:13
he's an angry bear. [bear chases kids]
- 00:15
Help them figure out what went wrong by calculating whether the slopes of their magic rays were
- 00:20
parallel or perpendicular.
Full Transcript
- 00:22
The equations of their magic rays are: y=3x+4 and y=3x+10. [equations shown]
- 00:30
Fortunately, these equations are already set up in slope-intercept form (y=mx+b, where [equations on slopes]
- 00:38
m is the slope). [slope-intercept form demonstrated]
- 00:41
That means that the slope in each equation is 3.
- 00:45
According to the Magician's Apprentice Handbook, "If two lines are perpendicular, their slopes [handbook opens]
- 00:50
are negative reciprocals of each other."
- 00:53
Negative reciprocals, when multiplied together, equal -1. [negative reciprocals defined]
- 00:58
3 x -1/3 = -1, so if one of the two equations had a slope of -1/3, then these two equations
- 01:08
would be perpendicular to each other. [perpendicular lines explained]
- 01:10
If two lines are parallel, their slopes are the same. [parallel lines defined]
- 01:14
Since we know each equation has a slope of 3, their slopes are parallel.
- 01:19
Oh, here it is, page 32... [handbook opens]
- 01:22
"Parallel magic rays deployed at the same time result in... bear."
- 01:27
Magical antidote?
- 01:28
Get rid of the evidence. [kids run from bear]
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