[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.44,0:00:02.21,Default,,0000,0000,0000,,- [Voiceover] What I wanna\Ntalk about in this video
Dialogue: 0,0:00:02.21,0:00:05.26,Default,,0000,0000,0000,,is shapes with four sides,
Dialogue: 0,0:00:05.26,0:00:08.96,Default,,0000,0000,0000,,and the mathy word for\Nshapes with four sides
Dialogue: 0,0:00:08.96,0:00:10.80,Default,,0000,0000,0000,,is quadrilateral.
Dialogue: 0,0:00:10.80,0:00:12.06,Default,,0000,0000,0000,,Quadrilateral.
Dialogue: 0,0:00:12.06,0:00:14.56,Default,,0000,0000,0000,,And any time you see\Nquad as part of a word,
Dialogue: 0,0:00:14.56,0:00:17.43,Default,,0000,0000,0000,,it's a good, it's a good sign
Dialogue: 0,0:00:17.43,0:00:19.81,Default,,0000,0000,0000,,that you're dealing with\Nthe number four somehow.
Dialogue: 0,0:00:19.81,0:00:22.86,Default,,0000,0000,0000,,So a quadrilateral is\Nsomething that has four sides.
Dialogue: 0,0:00:22.86,0:00:26.73,Default,,0000,0000,0000,,So that is a quadrilateral,
Dialogue: 0,0:00:26.73,0:00:29.76,Default,,0000,0000,0000,,this is a quadrilateral,
Dialogue: 0,0:00:29.76,0:00:32.16,Default,,0000,0000,0000,,this is a quadrilateral.
Dialogue: 0,0:00:32.16,0:00:33.38,Default,,0000,0000,0000,,They all have four sides.
Dialogue: 0,0:00:33.38,0:00:36.40,Default,,0000,0000,0000,,This is a quadrilateral.
Dialogue: 0,0:00:36.40,0:00:39.70,Default,,0000,0000,0000,,even this is a,
Dialogue: 0,0:00:39.70,0:00:42.46,Default,,0000,0000,0000,,let me make it look even weirder,
Dialogue: 0,0:00:42.46,0:00:45.58,Default,,0000,0000,0000,,even this is a quadrilateral.
Dialogue: 0,0:00:45.58,0:00:47.56,Default,,0000,0000,0000,,So what's not a quadrilateral?
Dialogue: 0,0:00:47.56,0:00:49.62,Default,,0000,0000,0000,,Well, a triangle would\Nnot be a quadrilateral.
Dialogue: 0,0:00:49.62,0:00:50.52,Default,,0000,0000,0000,,It has three sides,
Dialogue: 0,0:00:50.52,0:00:51.64,Default,,0000,0000,0000,,one, two, three.
Dialogue: 0,0:00:51.64,0:00:53.64,Default,,0000,0000,0000,,So let's cross that out.
Dialogue: 0,0:00:53.64,0:00:55.71,Default,,0000,0000,0000,,A pentagon that has five sides,
Dialogue: 0,0:00:55.71,0:00:57.01,Default,,0000,0000,0000,,that would not be a quadrilateral.
Dialogue: 0,0:00:57.01,0:00:59.78,Default,,0000,0000,0000,,It has one, two, three, four, five sides.
Dialogue: 0,0:00:59.78,0:01:03.26,Default,,0000,0000,0000,,A circle that has, I guess\Nyou could say, no sides,
Dialogue: 0,0:01:03.26,0:01:06.74,Default,,0000,0000,0000,,it's just one big curve, it's a circle.
Dialogue: 0,0:01:06.74,0:01:09.36,Default,,0000,0000,0000,,That's not going to be a quadrilateral.
Dialogue: 0,0:01:09.36,0:01:11.41,Default,,0000,0000,0000,,If you had six sides, seven\Nsides, a hundred sides,
Dialogue: 0,0:01:11.41,0:01:14.62,Default,,0000,0000,0000,,none of that is going\Nto be a quadrilateral.
Dialogue: 0,0:01:14.62,0:01:15.35,Default,,0000,0000,0000,,So now let's think about
Dialogue: 0,0:01:15.35,0:01:17.16,Default,,0000,0000,0000,,the different types of quadrilaterals,
Dialogue: 0,0:01:17.16,0:01:19.95,Default,,0000,0000,0000,,or the different categories\Nof quadrilaterals.
Dialogue: 0,0:01:19.95,0:01:23.08,Default,,0000,0000,0000,,So one is the parallelogram.
Dialogue: 0,0:01:23.08,0:01:26.77,Default,,0000,0000,0000,,So a parallelogram is a quadrilateral,
Dialogue: 0,0:01:26.77,0:01:28.07,Default,,0000,0000,0000,,and as we learn more math,
Dialogue: 0,0:01:28.07,0:01:31.21,Default,,0000,0000,0000,,we'll learn other ways\Nof thinking about this.
Dialogue: 0,0:01:31.21,0:01:35.37,Default,,0000,0000,0000,,It's a quadrilateral where\Nopposite sides are parallel.
Dialogue: 0,0:01:35.37,0:01:36.84,Default,,0000,0000,0000,,And parallel is just another way of saying
Dialogue: 0,0:01:36.84,0:01:39.27,Default,,0000,0000,0000,,that they're going in the same direction.
Dialogue: 0,0:01:39.27,0:01:41.06,Default,,0000,0000,0000,,So what do I mean by that?
Dialogue: 0,0:01:41.06,0:01:43.21,Default,,0000,0000,0000,,So something like this,
Dialogue: 0,0:01:43.21,0:01:45.23,Default,,0000,0000,0000,,something like this,
Dialogue: 0,0:01:45.23,0:01:47.42,Default,,0000,0000,0000,,would be a parallelogram.
Dialogue: 0,0:01:47.42,0:01:48.54,Default,,0000,0000,0000,,Why?
Dialogue: 0,0:01:48.54,0:01:52.32,Default,,0000,0000,0000,,Because this side is\Nopposite to this side,
Dialogue: 0,0:01:52.32,0:01:54.21,Default,,0000,0000,0000,,and they're pointed in the same direction.
Dialogue: 0,0:01:54.21,0:01:55.37,Default,,0000,0000,0000,,They're going,
Dialogue: 0,0:01:55.37,0:01:58.32,Default,,0000,0000,0000,,they're going, if I were to draw an arrow,
Dialogue: 0,0:01:58.32,0:01:59.62,Default,,0000,0000,0000,,if I were to draw an arrow here,
Dialogue: 0,0:01:59.62,0:02:04.14,Default,,0000,0000,0000,,those arrows are pointed in the same way.
Dialogue: 0,0:02:04.14,0:02:06.32,Default,,0000,0000,0000,,So those two sides are pointed,
Dialogue: 0,0:02:06.32,0:02:09.15,Default,,0000,0000,0000,,are parallel, is the word we say.
Dialogue: 0,0:02:09.15,0:02:11.94,Default,,0000,0000,0000,,And these two sides,
Dialogue: 0,0:02:11.94,0:02:15.30,Default,,0000,0000,0000,,these two sides right\Nover here are parallel.
Dialogue: 0,0:02:15.30,0:02:17.40,Default,,0000,0000,0000,,So this is a parallelogram.
Dialogue: 0,0:02:17.40,0:02:20.02,Default,,0000,0000,0000,,So what are other\Nexamples of parallelogram?
Dialogue: 0,0:02:20.02,0:02:21.99,Default,,0000,0000,0000,,Well even your classic square,
Dialogue: 0,0:02:21.99,0:02:23.76,Default,,0000,0000,0000,,even your classic square,
Dialogue: 0,0:02:23.76,0:02:25.01,Default,,0000,0000,0000,,is a parallelogram.
Dialogue: 0,0:02:25.01,0:02:26.89,Default,,0000,0000,0000,,And we'll talk more about\Nwhat makes a square special.
Dialogue: 0,0:02:26.89,0:02:28.83,Default,,0000,0000,0000,,It's a special type of parallelogram
Dialogue: 0,0:02:28.83,0:02:31.60,Default,,0000,0000,0000,,because this side
Dialogue: 0,0:02:31.60,0:02:34.39,Default,,0000,0000,0000,,is going in the same\Ndirection as that side,
Dialogue: 0,0:02:34.39,0:02:38.60,Default,,0000,0000,0000,,and this side, and this side,
Dialogue: 0,0:02:38.60,0:02:40.89,Default,,0000,0000,0000,,whoops, let me do that in yellow,
Dialogue: 0,0:02:40.89,0:02:44.79,Default,,0000,0000,0000,,and this side is parallel to that side.
Dialogue: 0,0:02:44.79,0:02:47.51,Default,,0000,0000,0000,,So what's not a parallelogram?
Dialogue: 0,0:02:47.51,0:02:49.83,Default,,0000,0000,0000,,Well, something like,
Dialogue: 0,0:02:49.83,0:02:53.06,Default,,0000,0000,0000,,something like this
Dialogue: 0,0:02:53.06,0:02:55.03,Default,,0000,0000,0000,,would not be a parallelogram.
Dialogue: 0,0:02:55.03,0:02:55.58,Default,,0000,0000,0000,,You might say, "Wait,
Dialogue: 0,0:02:55.58,0:02:57.88,Default,,0000,0000,0000,,"I see two opposite sides are parallel."
Dialogue: 0,0:02:57.88,0:03:02.22,Default,,0000,0000,0000,,You might say, "Look,\Nthis is parallel to this."
Dialogue: 0,0:03:02.22,0:03:06.45,Default,,0000,0000,0000,,But then you would see that\Nthis is not parallel to this.
Dialogue: 0,0:03:06.45,0:03:08.44,Default,,0000,0000,0000,,One way to think about some\Nthings that are not parallel
Dialogue: 0,0:03:08.44,0:03:10.30,Default,,0000,0000,0000,,is if the lines kept going,
Dialogue: 0,0:03:10.30,0:03:12.68,Default,,0000,0000,0000,,they would cross each other at some point,
Dialogue: 0,0:03:12.68,0:03:14.28,Default,,0000,0000,0000,,while these lines,
Dialogue: 0,0:03:14.28,0:03:15.100,Default,,0000,0000,0000,,these lines right over here,
Dialogue: 0,0:03:15.100,0:03:18.18,Default,,0000,0000,0000,,they're never going to cross each other.
Dialogue: 0,0:03:18.18,0:03:19.93,Default,,0000,0000,0000,,So this one right over here
Dialogue: 0,0:03:19.93,0:03:21.72,Default,,0000,0000,0000,,is not a parallelogram.
Dialogue: 0,0:03:21.72,0:03:25.10,Default,,0000,0000,0000,,It has one set of opposite\Nsides being parallel,
Dialogue: 0,0:03:25.10,0:03:26.62,Default,,0000,0000,0000,,but not the other.
Dialogue: 0,0:03:26.62,0:03:29.62,Default,,0000,0000,0000,,Another example of something\Nthat is not a parallelogram
Dialogue: 0,0:03:29.62,0:03:31.97,Default,,0000,0000,0000,,would be this one right over here,
Dialogue: 0,0:03:31.97,0:03:34.73,Default,,0000,0000,0000,,because none of the\Nopposite sides are parallel.
Dialogue: 0,0:03:34.73,0:03:38.30,Default,,0000,0000,0000,,So parallelogram, opposite\Nsides are parallel.
Dialogue: 0,0:03:38.30,0:03:39.95,Default,,0000,0000,0000,,So now let's talk about,
Dialogue: 0,0:03:39.95,0:03:44.05,Default,,0000,0000,0000,,let's talk about more\Ntypes of four sided shapes,
Dialogue: 0,0:03:44.05,0:03:46.26,Default,,0000,0000,0000,,or quadrilaterals.
Dialogue: 0,0:03:46.26,0:03:50.53,Default,,0000,0000,0000,,So the next one we'll\Ntalk about is the rhombus.
Dialogue: 0,0:03:50.53,0:03:54.21,Default,,0000,0000,0000,,So the rhombus is a type of parallelogram.
Dialogue: 0,0:03:54.21,0:03:57.26,Default,,0000,0000,0000,,The opposite sides need to be parallel,
Dialogue: 0,0:03:57.26,0:04:00.100,Default,,0000,0000,0000,,but that's not, by itself,\Nthat doesn't make it a rhombus.
Dialogue: 0,0:04:00.100,0:04:03.02,Default,,0000,0000,0000,,The opposite sides need to be parallel,
Dialogue: 0,0:04:03.02,0:04:06.82,Default,,0000,0000,0000,,and all the sides have to be equal.
Dialogue: 0,0:04:06.82,0:04:09.50,Default,,0000,0000,0000,,So for example,
Dialogue: 0,0:04:09.50,0:04:12.81,Default,,0000,0000,0000,,this that I'm drawing,
Dialogue: 0,0:04:12.81,0:04:16.32,Default,,0000,0000,0000,,that is a parallelogram,\Nbut it is not a rhombus.
Dialogue: 0,0:04:16.32,0:04:18.90,Default,,0000,0000,0000,,It's a parallelogram because that side,
Dialogue: 0,0:04:18.90,0:04:21.28,Default,,0000,0000,0000,,these opposite sides are parallel.
Dialogue: 0,0:04:21.28,0:04:24.60,Default,,0000,0000,0000,,If they kept going, they\Nwould not cross each other.
Dialogue: 0,0:04:24.60,0:04:28.56,Default,,0000,0000,0000,,And these two opposite sides are parallel.
Dialogue: 0,0:04:28.56,0:04:30.36,Default,,0000,0000,0000,,So it's a parallelogram,\Nbut it's not a rhombus
Dialogue: 0,0:04:30.36,0:04:34.62,Default,,0000,0000,0000,,because the blue sides are\Nlonger than the yellow sides.
Dialogue: 0,0:04:34.62,0:04:36.75,Default,,0000,0000,0000,,So that is not a rhombus.
Dialogue: 0,0:04:36.75,0:04:39.98,Default,,0000,0000,0000,,A rhombus would have to look like this.
Dialogue: 0,0:04:39.98,0:04:42.61,Default,,0000,0000,0000,,A rhombus would have to look like that.
Dialogue: 0,0:04:42.61,0:04:44.38,Default,,0000,0000,0000,,So opposite sides are parallel
Dialogue: 0,0:04:44.38,0:04:47.18,Default,,0000,0000,0000,,and all the sides are the same length.
Dialogue: 0,0:04:47.18,0:04:50.58,Default,,0000,0000,0000,,And now you might say, "Well\Nmaybe a square is a rhombus,"
Dialogue: 0,0:04:50.58,0:04:51.72,Default,,0000,0000,0000,,and I want you to think about that.
Dialogue: 0,0:04:51.72,0:04:53.76,Default,,0000,0000,0000,,Is a square a rhombus?
Dialogue: 0,0:04:53.76,0:04:56.16,Default,,0000,0000,0000,,Are all the sides the same length,
Dialogue: 0,0:04:56.16,0:04:58.94,Default,,0000,0000,0000,,and are the opposite sides parallel?
Dialogue: 0,0:04:58.94,0:05:00.82,Default,,0000,0000,0000,,Well we already said\Nthat the opposite sides
Dialogue: 0,0:05:00.82,0:05:01.93,Default,,0000,0000,0000,,of a square are parallel.
Dialogue: 0,0:05:01.93,0:05:03.82,Default,,0000,0000,0000,,A square is a parallelogram.
Dialogue: 0,0:05:03.82,0:05:07.64,Default,,0000,0000,0000,,And all the sides of a\Nsquare are the same length.
Dialogue: 0,0:05:07.64,0:05:11.03,Default,,0000,0000,0000,,So a square is a rhombus.
Dialogue: 0,0:05:11.03,0:05:14.69,Default,,0000,0000,0000,,So one way to think about\Nrhombuses, or rhombi,
Dialogue: 0,0:05:14.69,0:05:16.48,Default,,0000,0000,0000,,is they're squares,
Dialogue: 0,0:05:16.48,0:05:18.61,Default,,0000,0000,0000,,and you could kind of view them as
Dialogue: 0,0:05:18.61,0:05:21.27,Default,,0000,0000,0000,,kind of a pushed over version of squares,
Dialogue: 0,0:05:21.27,0:05:22.40,Default,,0000,0000,0000,,if a square was moving
Dialogue: 0,0:05:22.40,0:05:24.70,Default,,0000,0000,0000,,really, really, really fast in a cartoon,
Dialogue: 0,0:05:24.70,0:05:28.77,Default,,0000,0000,0000,,that's what my brain thinks\Nof when I think of a rhombus.
Dialogue: 0,0:05:28.77,0:05:30.50,Default,,0000,0000,0000,,So now let's think of rectangle.
Dialogue: 0,0:05:30.50,0:05:32.78,Default,,0000,0000,0000,,And you might have heard the\Nword rectangle in the past,
Dialogue: 0,0:05:32.78,0:05:33.96,Default,,0000,0000,0000,,but let's think a little bit more
Dialogue: 0,0:05:33.96,0:05:36.29,Default,,0000,0000,0000,,about what makes a rectangle.
Dialogue: 0,0:05:36.29,0:05:39.81,Default,,0000,0000,0000,,So a rectangle is going\Nto be a parallelogram,
Dialogue: 0,0:05:39.81,0:05:42.74,Default,,0000,0000,0000,,but that by itself does\Nnot make it a rectangle.
Dialogue: 0,0:05:42.74,0:05:46.52,Default,,0000,0000,0000,,So for example, this right\Nover here is a rectangle.
Dialogue: 0,0:05:46.52,0:05:47.37,Default,,0000,0000,0000,,Why is it?
Dialogue: 0,0:05:47.37,0:05:49.53,Default,,0000,0000,0000,,Well it's definitely a parallelogram.
Dialogue: 0,0:05:49.53,0:05:52.53,Default,,0000,0000,0000,,This side and that side are parallel.
Dialogue: 0,0:05:52.53,0:05:54.94,Default,,0000,0000,0000,,They'll never intersect.
Dialogue: 0,0:05:54.94,0:05:59.53,Default,,0000,0000,0000,,And this side and this side are parallel.
Dialogue: 0,0:05:59.53,0:06:01.83,Default,,0000,0000,0000,,They're never, they're\Nnever going to intersect
Dialogue: 0,0:06:01.83,0:06:03.61,Default,,0000,0000,0000,,if you kept going on and on and on,
Dialogue: 0,0:06:03.61,0:06:07.29,Default,,0000,0000,0000,,or they're never going\Nto cross each other.
Dialogue: 0,0:06:07.29,0:06:09.62,Default,,0000,0000,0000,,But what makes it a rectangle?
Dialogue: 0,0:06:09.62,0:06:10.56,Default,,0000,0000,0000,,It's definitely a parallelogram,
Dialogue: 0,0:06:10.56,0:06:13.88,Default,,0000,0000,0000,,but what makes it, why do\Nwe use the word rectangle?
Dialogue: 0,0:06:13.88,0:06:16.06,Default,,0000,0000,0000,,Well one way to think about it is
Dialogue: 0,0:06:16.06,0:06:19.06,Default,,0000,0000,0000,,they way that they come\Ntogether at the corners.
Dialogue: 0,0:06:19.06,0:06:22.34,Default,,0000,0000,0000,,So in a rectangle, the things come in to,
Dialogue: 0,0:06:22.34,0:06:24.64,Default,,0000,0000,0000,,I guess you could call\Nthem square corners.
Dialogue: 0,0:06:24.64,0:06:26.96,Default,,0000,0000,0000,,And that's called a right angle.
Dialogue: 0,0:06:26.96,0:06:29.13,Default,,0000,0000,0000,,That's called a right\Nangle right over there.
Dialogue: 0,0:06:29.13,0:06:30.58,Default,,0000,0000,0000,,So this is what makes a rectangle.
Dialogue: 0,0:06:30.58,0:06:34.06,Default,,0000,0000,0000,,It's a parallelogram where all\Nthe corners are right angles.
Dialogue: 0,0:06:34.06,0:06:35.90,Default,,0000,0000,0000,,You could put a little square there,
Dialogue: 0,0:06:35.90,0:06:37.70,Default,,0000,0000,0000,,if you wanna think about it that way.
Dialogue: 0,0:06:37.70,0:06:41.42,Default,,0000,0000,0000,,So for example, this right over here
Dialogue: 0,0:06:41.42,0:06:43.05,Default,,0000,0000,0000,,would not be a rectangle.
Dialogue: 0,0:06:43.05,0:06:43.44,Default,,0000,0000,0000,,Why?
Dialogue: 0,0:06:43.44,0:06:45.60,Default,,0000,0000,0000,,Cause you can't, if you\Nput a square here, notice.
Dialogue: 0,0:06:45.60,0:06:48.70,Default,,0000,0000,0000,,That does not, a square\Ndoesn't fit in the corners
Dialogue: 0,0:06:48.70,0:06:50.96,Default,,0000,0000,0000,,the way that it fits right over here.
Dialogue: 0,0:06:50.96,0:06:55.07,Default,,0000,0000,0000,,That you have, the square\Ndoes not fit over here.
Dialogue: 0,0:06:55.07,0:06:57.81,Default,,0000,0000,0000,,This is a parallelogram,\Nbut not a rectangle.
Dialogue: 0,0:06:57.81,0:07:02.15,Default,,0000,0000,0000,,A rectangle is a parallelogram\Nthat has square corners.
Dialogue: 0,0:07:02.15,0:07:04.27,Default,,0000,0000,0000,,But what about our square?
Dialogue: 0,0:07:04.27,0:07:06.32,Default,,0000,0000,0000,,Is a square a rectangle?
Dialogue: 0,0:07:06.32,0:07:08.75,Default,,0000,0000,0000,,Well let's draw it out.
Dialogue: 0,0:07:08.75,0:07:09.40,Default,,0000,0000,0000,,Well let's think about it.
Dialogue: 0,0:07:09.40,0:07:11.66,Default,,0000,0000,0000,,A square, opposite sides are parallel.
Dialogue: 0,0:07:11.66,0:07:13.58,Default,,0000,0000,0000,,We've already said it's a parallelogram.
Dialogue: 0,0:07:13.58,0:07:16.92,Default,,0000,0000,0000,,And a square has,
Dialogue: 0,0:07:16.92,0:07:19.58,Default,,0000,0000,0000,,the corners are square.
Dialogue: 0,0:07:19.58,0:07:21.40,Default,,0000,0000,0000,,That's where when people\Nsay make a square corner,
Dialogue: 0,0:07:21.40,0:07:22.71,Default,,0000,0000,0000,,that's where it comes from.
Dialogue: 0,0:07:22.71,0:07:24.06,Default,,0000,0000,0000,,The corners are square.
Dialogue: 0,0:07:24.06,0:07:25.58,Default,,0000,0000,0000,,They are at right angles.
Dialogue: 0,0:07:25.58,0:07:27.67,Default,,0000,0000,0000,,So the square is a rectangle.
Dialogue: 0,0:07:27.67,0:07:31.29,Default,,0000,0000,0000,,So the square is a really\Ninteresting quadrilateral,
Dialogue: 0,0:07:31.29,0:07:35.36,Default,,0000,0000,0000,,because a square falls in\Nto all of these categories.
Dialogue: 0,0:07:35.36,0:07:38.34,Default,,0000,0000,0000,,The square, a square is a square,
Dialogue: 0,0:07:38.34,0:07:39.66,Default,,0000,0000,0000,,it's a rhombus,
Dialogue: 0,0:07:39.66,0:07:41.21,Default,,0000,0000,0000,,it's the type of rhombus
Dialogue: 0,0:07:41.21,0:07:44.80,Default,,0000,0000,0000,,where the corners are right angles,
Dialogue: 0,0:07:44.80,0:07:46.82,Default,,0000,0000,0000,,or you could say where\Nthe corners are square.
Dialogue: 0,0:07:46.82,0:07:48.60,Default,,0000,0000,0000,,This one right over here is not a square,
Dialogue: 0,0:07:48.60,0:07:49.47,Default,,0000,0000,0000,,this one is square.
Dialogue: 0,0:07:49.47,0:07:52.11,Default,,0000,0000,0000,,They're both rhombuses,\Nor they're both rhombi.
Dialogue: 0,0:07:52.11,0:07:54.16,Default,,0000,0000,0000,,A square is also a rectangle.
Dialogue: 0,0:07:54.16,0:07:58.04,Default,,0000,0000,0000,,It's a parallelogram where\Nthe corners are right angles,
Dialogue: 0,0:07:58.04,0:07:59.64,Default,,0000,0000,0000,,where they are square.
Dialogue: 0,0:07:59.64,0:08:01.64,Default,,0000,0000,0000,,A square is definitely a parallelogram,
Dialogue: 0,0:08:01.64,0:08:05.13,Default,,0000,0000,0000,,and everything we've talked\Nabout is a quadrilateral.