Learn Regular Polygons, Rhombus, Triangle, Parallelogram, Pentagon, Hexagon, Square - [5-9-3] - Free Educational videos for Students in K-12

Learn Regular Polygons, Rhombus, Triangle, Parallelogram, Pentagon, Hexagon, Square - [5-9-3] - By Math and Science

Transcript


00:00	Hello . Welcome back . The title of this lesson
00:02	is called hierarchy of polygon is part one . So
00:06	this sounds very complicated but actually it's it's stuff that
00:09	is very easy to understand what we jump into it
00:11	basically . We've already talked about quadra laterals . Quad
00:15	means four . So quadrilateral is a four sided shape
00:18	. A polygon is a broader thing , polygon is
00:21	shapes with different numbers of sides basically . So we're
00:24	gonna talk about three sided shapes and four sided shapes
00:26	and five sided shapes and six sided shapes and then
00:29	we're gonna circle and answer some questions related to those
00:32	. So let's talk about these . First of all
00:34	, a polygon is a closed figure with line segments
00:39	to make the sides and they meet at their in
00:41	points . So all that means is a closed shape
00:43	made of little line segments , you know like a
00:46	triangle for instance . It's a three sided shape .
00:48	It's a type of polygon . Any of the square
00:51	rectangle . Any of those quadrilateral is a type of
00:53	polygon . So under the idea of a polygon ,
00:56	we have all of these different types but don't stress
00:58	out about it because it's very easy . First of
01:00	all we have a triangle here . It's a polygon
01:03	with three sides . Makes sense . Three sided shape
01:05	. That's easy . Right then we have quadrilateral which
01:08	is any polygon with four sides . Now let me
01:10	skip over these because we've already talked about all of
01:12	these types of quadra laterals . In the last lesson
01:15	after a three sided shape . In a four sided
01:17	shape we have a five sided shape which is the
01:21	pentagon and then we have a six sided shape which
01:25	is a hexagon . And then you can go up
01:26	from there . For instance an eight sided shape is
01:28	an octagon . You know that's the stop sign shape
01:30	that we have . So you can have names for
01:33	all of those different shapes with different sides , but
01:35	these are the most important one . So we have
01:37	a three sided shape , triangle , a four sided
01:39	shape quadrilateral , a five sided shape , pentagon ,
01:42	a six sided shape , hexagon . And then underneath
01:45	quadrilateral . We have lots of types . We have
01:47	the trapezoid that we talked about earlier with only one
01:50	pair of parallel sides . We have a parallelogram with
01:53	two sets of parallel sides . But underneath parallelogram we
01:56	actually have a rhombus which is a type of parallelogram
02:00	where all the sides are equal . We have a
02:02	rectangle uh which is a parallelogram with uh four right
02:07	angles in the corner and then two pairs of equal
02:10	sides there . So the typical rectangle shape and then
02:13	we have a square which is a rectangle with all
02:16	four equal sides . So we've actually studied all of
02:18	these before . The only thing this lesson is doing
02:21	is telling us that a polygon is a general thing
02:24	and we can have three sided , four sided ,
02:26	five sided six sided . But I'm also telling you
02:28	you can have higher sides as well . So a
02:30	polygon is any number of sides with straight line segments
02:34	connected . Then you have a three sided shape .
02:36	We call that a triangle . We have a four
02:39	sided shape . We call that a quadrilateral . But
02:41	inside of the quadrilateral we can have rectangles and squares
02:44	and trap as always . We talked about those before
02:46	. So we have three sided shape four sided shape
02:50	. Then we have uh here's another type of four
02:52	sided shape trapezoid . Here's another four sided shape parallelogram
02:56	. We have opposite sides of that which are parallel
02:59	. And then when we have a parallelogram that has
03:01	equal length sides , we call it a rhombus .
03:04	And then when we have a parallelogram like this where
03:08	all of the angles are right angles in the corner
03:10	, we call it a rectangle . When we have
03:13	a rhombus where we have all of the angles in
03:16	the corner or 90° right angle . We call it
03:18	a square . So you see what's going on here
03:20	. We have a three sided shape . Here's the
03:21	general four sided shape . All of these trapezoid parallelogram
03:26	, rhombus rectangle square , we've talked about before .
03:28	Those are types of quadra laterals and then we have
03:31	pentagons and then we have hexagons . One thing I
03:34	want to talk to you about before we move on
03:36	is that we have the idea of a regular polygon
03:39	or regular hexagon or regular regular . Uh octagon ,
03:45	things like that . A regular polygon is a polygon
03:48	where all of the sides of the same length and
03:51	all of the angles on the inside are the same
03:53	measure because I can draw different kinds of pentagons .
03:56	All I need is a five sided shape . It
03:57	doesn't have to look beautiful like this . I can
04:00	draw different kinds of hexagons with that are six sided
04:02	shapes that are all weird shapes . But when we
04:04	say we have a regular hexagon , then all of
04:07	the sides have to be the same length . And
04:09	all of these inside angles have to be the same
04:11	angle . Regular means nice and symmetric , basically all
04:16	the sides of the same . All of the lengths
04:18	and angles are the same as well . So here's
04:20	our first problem , it says circle . All of
04:23	the regular polygon is below regular . Regular polygons means
04:27	all of the sides have to be the same length
04:29	and all of the inside angles have to be the
04:32	same . So this is a triangle and that is
04:34	a polygon , but it's not a regular polygon because
04:38	the inside angles are not the same and the triangle
04:40	length , the sides are not the same . This
04:42	one is a regular polygon because the inside angles are
04:45	the same . And the outside edges are all the
04:48	same length as well . So I can circle this
04:51	one . That's a regular triangle . Or also called
04:54	a regular polygon . All right . What about this
04:57	one ? Uh The sides are not the same length
04:59	, so it's not a regular figure . What about
05:01	this one ? The sides are not the same length
05:03	. It's not a regular figure . And also the
05:04	angles are not the same as well . What about
05:06	this one ? Well , the sides are all the
05:08	same length and the inside angles are all the same
05:10	as well . So , we call that a regular
05:12	. It's a regular polygon . We also call it
05:14	a square . All right , let's take a look
05:17	at problem number two . Let's circle all of the
05:20	regular polygons here . Remember all the sides have to
05:23	be the same length . All of the angles have
05:25	to be the same . Which ones are regular to
05:27	you ? Well , we have 1 , 23456 .
05:30	We call that a hexagon and all the sides of
05:34	the same length . All of the angles of the
05:35	same . So this is a regular hexagon . Our
05:38	regular polygon . All right . Uh What about this
05:41	one ? The sides of the same link , but
05:43	the angles are not the same . So that's not
05:44	right . What about this one ? The sides are
05:46	not all the same like , So that's not right
05:49	. What about this 1 ? A circle is not
05:51	a polygon at all , so that one doesn't count
05:53	. What about this one we have here , a
05:56	pentagon . 12345 Remember pentagon is five sided shape ?
06:01	Is it regular ? All of the lengths of the
06:03	sides of the same and all the angles are the
06:05	same . So we're going to call this a regular
06:07	pentagon . So those are the two shapes that are
06:11	here that our regular , these are regular because the
06:14	sides of the same length and the angles inside of
06:17	the same . This is a polygon , but it's
06:19	not a regular polygon . This is also a polygon
06:21	, but it's not a regular polygon . And this
06:23	one here a circle . It's not a polygon at
06:25	all because polygon , what it has to be a
06:28	shape composed of line segments , but a circle of
06:32	course is not a shape that is composed of line
06:34	segments . So let me take these down . I
06:36	have two more problems to talk about with you .
06:39	Problem number three circle . All the triangles triangle is
06:42	what a three sided closed figure . So this is
06:45	not a triangle , it's a quadrilateral . We have
06:47	four sides there . Here's a three sided shape .
06:50	So obviously this is a triangle . Here is a
06:53	three sided shape . So obviously it is a triangle
06:55	notice we didn't ask for the regular triangles or the
06:58	regular polygons . We ask for any kind of triangle
07:00	. This is a quadrilateral , has four sides .
07:03	This is a quadrilateral , also called a trapezoid .
07:06	Because parallel , parallel , not parallel , not parallel
07:09	. So that's obviously not a triangle . So those
07:11	are the only two answers there . And then we
07:13	have problem number four , we're gonna circle all of
07:16	the polygons in here . Any polygon ? We we
07:18	have we're gonna circle polygon means a close sided figure
07:22	. That has line segments that are used clothes figure
07:25	composed of line segments meeting at their endpoints . 1234
07:30	That's a quadrilateral . That's a type of polygon right
07:32	here is obviously a square . That's a type of
07:34	polygon . Right ? What about this ? This is
07:37	123456789 10 11 , 12 sided shape . So that
07:43	is a type of polygon . This is not composed
07:46	of line segments that make the border and this is
07:48	not composed of line segments that make the border because
07:51	we have these curved corners here . So these are
07:53	not polygons at all . These are the only two
07:56	polygons . So here we have introduced the idea of
07:59	a polygon which is a closed figure composed of line
08:02	segments . And you name them based on how many
08:05	line segments We have triangles have three sides . Quadra
08:09	laterals have four sides . And we've already talked about
08:11	lots of different types of quadra laterals . Then we
08:13	have uh over here we have pentagons which are five
08:17	sided shapes , hexagons which are six sided shapes .
08:20	And then you have seven sided shapes , eight sided
08:22	shapes for octagon . Then you have other other names
08:25	which are not as important honestly , but you can
08:27	name them beyond octagon as well . So I'd like
08:31	you to try and practices yourself . Follow me on
08:34	to the next lesson . We'll get our final bit
08:35	of practice with polygons .

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