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Quadrillaterals - Contenido educativo

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Subido el 26 de junio de 2025 por Publio P.

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quadrilaterals exercise number one square given its side first thing we are 00:00:01

going to place the square or the bubble to place the right angles on B and on a 00:00:09

we need this to be really accurate we have both right angles and now with the 00:00:23

compass we transport AB up. So from B we draw this arc and with the same measurement you 00:00:34

then change AB. With the same measurement you go up two. Doing that you get two equal 00:00:49

sides now you got C and D and close the shape CD so you have a square that is a 00:00:59

square number two rectangle given the two sides good so we are going to start 00:01:20

we are going to use this line and a square so we draw our right angle our 00:01:31

right angle and here we are going to use one of the sides the bigger one so it's 00:01:47

going to be 70 so from the beginning of the line till the end you get the side 00:01:54

for example a B this is again 70 okay now you're going to use the right angle 00:02:07

right angle on B right angle on a and from a and B up we are going to measure 00:02:20

45. So here we measure 45. This is almost, yes, it's accurate. And here I need a little 00:02:41

bit more. I need to extend this line up a little bit. So you have 45. You get the two 00:02:53

points, remember that the points are 00:03:05

small circles with a little 00:03:08

void inside, blank, connect 00:03:12

the two points, that's it, and you 00:03:17

get C and D, that is the 00:03:21

rectangle. Number three, rectangle 00:03:27

given one side, and the diagonal AC 00:03:31

So, we are given the diagonal, this is AC, because this would be a side, would be AB or AD, so AC is the diagonal, okay? 00:03:34

We have to read carefully. 00:03:49

Considering this is the diagonal, we are going to place the center of the rectangle. 00:03:53

So, in order to get the center, you need to do, again, a segment by sector. 00:04:02

So, we place a compass on A, and with any radius bigger than the middle, 00:04:09

so we draw an arc up and down, and with the same distance, you change the center and see up and down. 00:04:17

so the four radius are the same 00:04:31

once you have that we are going to draw the segment by sector but 00:04:35

in this case we only need the center so we're going to simplify 00:04:42

doing this, doing these three lines 00:04:46

because what we really need 00:04:53

is this center O, these points 00:04:56

My advice is that you place them properly, name them as 1 and 2, for example. 00:05:00

Good. Once we have O, we are going to draw a circle, a circumference, center O, and passing through A and B. 00:05:10

So, we are going to draw this O. 00:05:24

Okay, I made a mistake, so I have to repeat. 00:05:32

So, center O, and we draw the circle passing through A and B. 00:05:34

Okay? 00:05:49

And once you have the circle, the rectangle is going to be inscribed inside this circumference. 00:05:50

So now we have to use the data of the side and we can place either on A or C this side. 00:06:06

So, for example, we can use C. We can draw here from C one line, and here we are going to mark exactly 42. 00:06:21

42 this is 42 okay good so we are going to name this as L 42 good good so now once you have that 00:06:38

We take this measurement from C and transport 42 up till it crosses, okay? 00:07:02

So you place a compass here on C and you transport this distance on the circumference. 00:07:27

And you, without changing the measurement, you place the compass on A and do the same up. 00:07:35

Okay, so you will get one point 42 from C and another point 42 from A. 00:07:48

If you connect these points, this will be B and this will be V. 00:07:58

capital letter so if you're going to get the four points you will get the rectangle 00:08:08

which have we has which has a ac as a diagonal number four rhombus given its side 00:08:22

48 this is really easy because the four sides in a rhombus are the same so if you just draw 00:08:37

from for example front a in any red direction we draw a line for example there that measure 00:08:53

exactly 48. So this is 48. This is their side. And now with the compass we are going to draw 00:09:07

one arc from A 48 and from C 48. You will see that they cross each other because this is like 00:09:27

a segment by sector you will get B sorry and G and if you connect the four 00:09:44

points you get the rhombus from a to B and G and from B C DC that is the rhombus 00:09:57

the four sides 48 relax last exercise the rhomboid given to sites okay because 00:10:18

a B is given okay and they are giving us the other side the other side is 35 okay 00:10:32

Good. If we review this scheme here, the rhomboid is this one, okay? 00:10:42

It's like a rectangle, but with angles that are not right angles. 00:10:52

So we have acute and obtuse angles. 00:11:01

These two are obtuse, these two are acute. 00:11:04

so considering we are given 30 okay we are going to place 30 degrees good you can use your bevel 00:11:08

because your bevel has 30 degrees in the smaller angle but i'm going to use this tool to place 00:11:20

I'm placing this on zero, okay, and this is 30 degrees. So if I connect A with this point, we will get here an angle. I'm going to name that angle. 00:11:32

So with the compass, we are going to draw a small circle here, a small arc, like this. And this is going to be 30 degrees. That is the angle on A. 00:11:56

Good. I just wanted to show you that you can also use the bevel, okay? This ruler. This 00:12:19

ruler has 30, 60, 90. So you can use the ruler like this. You can place it with a smaller 00:12:30

angle, and even if the tip doesn't 00:12:43

work, you can place another ruler here 00:12:47

to connect with A. So you take this out 00:12:49

and draw the line. So you will get the same angle. 00:12:55

Once we have 30, we know 00:12:58

that the other side is 35. So you can take 00:13:02

the ruler and measure here the 00:13:06

35, 35. Great. So this is going to be D. And knowing that this is a parallelogram, so we need the sides to be parallel, you can close the shape using parallels. 00:13:10

So, we can place the ruler on this side, AD, place the other one here, and, oh, I'm going to repeat, sorry, because if it moves, you have to repeat. 00:13:32

So, again, we place the compass, sorry, the ruler is like this, okay? 00:13:52

The straight one stands still, the other one moves till you reach B and draw the parallel side, something like this. 00:13:58

And you have to do the same with the baseline, so you place the ruler here on AB, sorry, here, so the first ruler goes here on AB, 00:14:11

the other one goes there you go up passing through D and this way you get 00:14:28

a perfect rhomboid this is C you will get another 35 here and another side 00:14:38

like AV but on top and all the lines are parallel 00:14:51

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