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Plane figures (triangles, rectangles, parallelograms, trapezoids, circles, polygons) Videos 10 videos
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?
ACT Math: Plane Geometry Drill 4, Problem 3. What is the measure of each angle in the figure?
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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