Full transcript of “Grade 9 MATH Term 1 Week 7: Classification of Quadrilaterals | MATATAG First Term/Quarter 2 Tagalog”. Click a timestamp to open the video at that moment. Need another video? Use the YouTube transcript generator.
0:07 [bell] Hello again everyone. Welcome ulit sa ating Month isip YouTube channel where you can find free Tagalog mathematics tutorial. Our topic for today is all about classification of quadrilaterals. But before we begin, let me just remind everyone kapag hindi pa po tayo nakakapag-subscribe, you can click the subscribe button pati na rin po ang notification bell. para lagi tayong updated sa mga susunod pang mga lessons. And to our dear teachers, if you are interested with our PowerPoint presentations, you can message us on our Facebook page. Okay. So without further ado, let's now begin with our lesson. Okay. So this will be our learning competency for this lesson. We will classify quadrilaterals based on formal definitions. So ituturo ko po ito in
0:54 details. Okay. So first let's have this question. Okay, let me ask you learners which figure does not belong with the others. Try to explain your answer. You can comment down below kung gusto niyo pong sumagot. Okay, another question I would like to ask is although these figures have different appearances and properties, what do they all have in common? Ano pong common characteristic ang meron sa kanilang lahat? Okay? You might be answering. Pwedeng ang sagot niyo ay lahat sila mayong four sides. Pwede rin namang four vertices. Pwede rin four angles. Yes, they are all they all have four angles. Or pwede rin po na they are all closed figures made of line segments. Okay?
1:43 Actually yes because they are all quadrilateral family. They are all members of one family. No, the the shapes belong to the same general family. But each has particular characteristic that make them different from each other syempre. And today we will use formal definitions to recognize those differences and classify each member of the quadrilateral family. Okay. So are we ready? Let's begin our discussion. Okay. First let's define quadrilateral. Ano po ba ang ibig sabihin ng quadrilateral? Okay. So this is the formal definition. A quadrilateral is a simple closed polygon formed by four line segments with four vertices and
2:30 four angles. Okay? So ano pong symbol ang ginagamit natin to indicate this quadrilateral? Okay. So the symbol we use is this one. This is used to denote a quadrilateral. Okay? So para siyang rectangular shape no? We use that to name a quadrilateral. So quadrilaterals are named using consecutive vertices. So magbigay tayo ng example. For example, we have here this quadrilateral. Uh this has four sides, four angles, four vertices. And it is a closed line segment polygon. Nono. So ano po ang pangalan nito? We can use this symbol rectangular symbol or shape before the vertices na nandito. So ano 'yung mga
3:15 vertices natin? We have here A, B, C, and D. We can write this this way. Ano po ang basa nito? This is read as quadrilateral AB CD. Okay? So bukod sa ganitong arrangement, pwede pa po bang ah different arrangement? Pwede naman po. As long as it is in a rotational order. Halimbawa dito we have here pwedeng mag-start sa B, okay? Papuntang or clockwise BC, Dda. Okay? Pwede rin naman pong CDAB. Pwede ring mag-start kay uh D. Okay. D A BC. Okay. So kung napapansin niyo po, clockwise po 'yung ikot nung ating ah naming convention. Okay. Pwede rin po bang counterclockwise? Pwede naman po
4:01 no. We can start from A D CB. Pwede rin namang from D. So DC BA or pwede ring CC. quadrilateral C Bad or quadrilateral BC. Okay? So all of this are the way we can name a quadrilateral. Okay, proceed na po tayo sa classification of quadrilaterals. Okay. To classify quadrilaterals, we can start with this category. Pwede natin siyang i-classify according to their parallel sides, no? So, in our lesson for today, we will start with classifying them according to their parallel sides para mas madaling intindihin. Okay. By the way, ano po ang
4:46 ibig sabihin ng parallel sides according to our previously discussed lessons on the conditions that guarantee parallelism and perpendicularity. Na-emphasize po natin doon when you say parallel lines, these are coplaner and non-intersecting lines. And then kung mapapansin niyo sa ating diagram, kapag may nakita tayong mga arrow heads matching markings, we can say that they are parallel. Okay. So let's start with the first type or classification. We have here what we call a trapezium. Ano po ba ang ibig sabihin ng trapezium? A quadrilateral with no pair of parallel sides. Tandaan po natin, no pair of parallel sides katulad po nito. So if you can see, obviously naman wala tayong
5:33 makikitang parallel sides diyan. We can just call this a general quadrilateral. Okay. Pwede kasing uh ang trapezium hindi masyadong common 'no? So we can just call this a general quadrilateral lang siya no'. Walang specific uh category. Okay? But if we if we see this sign, halimbawa itong ah quadrilateral natin, it's a travisium and then may nakikita tayong mga markings. Meaning itong marking na ito parehas dito. They are congruent. And then these two sides are also congruent. They have the same markings. Okay. This is now what we call a kite, a special type of a trapezium, no? Walang walang parallel sides pero congruent iyung dalawang pair ng
6:20 kanilang sides. So this is a kite. We will have the definition later on, no? Next, aside from trapezium na walang pair of parallel sides, we also have what we call a trapezoid. Okay. Ano naman po ang pinagkaiba ng trapezium sa trapezoid? When you say trapezoid, this is a quadrilateral with exactly one pair of parallel sides. Tandaan po natin one pair. Kung kanina sa trapezium no pair, ngayon naman poir. Ano pong itsura nito? So if we have we are quadrilateral and as you can see meron po tayong dalawang lines or sides dito na parallel no? They are parallel. So ibig sabihin this is a trapezoid. How about the other two sides? Hindi po sila parallel. Okay lang
7:05 iyan. It still considered a trapoid. Kasi nga po ang kailangan lang natin is one pair. Okay? Aside from this, we also have the names of this sides. Pag sinabi nating parallel sides, yun na po yyung mga bases. Okay? Base one and base 2 of our trapoid. Ano naman pong tawag doun sa other doun sa dalawang sides pa naiwan? We call them legs. Okay? Just like in a right triangle, they are also called legs. Okay? What else? We have a special type of trapoid. And if you notice, especially if uh there is a marking, okay? Mayon tayong similaring on the two legs. Ibig sabihin equal po or congruent yung kanilang sides. And of
7:51 course, parallel yung dalawang base. We call this an isoselase trapezoid. Okay? Parehas po or congruent yung dalawang sides nila. Okay? So, we will have also the definition of isocelis trapoid mamaya. Okay, by the way before we continue, let me just give you here a note. Okay? Kasi baka mamaya makita natin sa ibang books or sa ibang videos iba ang definition ng trapezium tsaka trapezoid. Bakit? The terms trapezoid and trapezium differ by region. Okay? Sa UK or in British English, these terms are usually reversed. Ang definition po ng trapezium is itong definition ng trapoid. Tapos 'yung definition ng traoid, 'yun naman 'yung definition ng
8:36 trapezium sa UK. Pero ang ginagamit po natin is 'yung US convention. In this lesson, we will follow the US convention. Sa US English, ang definition ng trapezium, ito po no, ang definition ng trapoid naman ito. So in the Philippines, syempre ang ginagamit natin is American or the US convention. Okay, moving on. Let's go to the third classification of quadrilaterals according to parallel sides. Okay, ito na po yung parallelogram na tinatawag natin. Ano pong ibig sabihin nito? A quadrilateral with two pairs of opposite parallel sides. This time, two pairs naman po siya. So, example natin is itong image. We have here this two sides
9:24 which are parallel. And then the other pair of parallel sides, ito naman pong left and right. So we have these two markings similar, ibig sabihin parallel po sila. Okay. So these are the three uh main categories of quadrilaterals. [musika] >> [musika]
10:12 >> Okay. Under parallelogram, meron po tayong special types of parallelograms. Okay. So yung una is of course alam po natin yung itsura ng rectangle. Pero ano po ang definition nito? So this is the formal definition. A rectangle is a parallelogram with four right angles. Okay? So we have here this image. Okay? Uh so at first glance alam nating rectangle siya pero we have to identify if it is really a rectangle. So dapat alam natin na itong dalawang sides na ito ay parallel and then itong nandito sa left and right also parallel. Okay? Basing from the markings, they are parallel. Now we have here four right angles. Ibig sabihin dapat yung mga angles natin is 90°. Okay? Uh basing
10:59 from the markings, this is the perpendicular markings. Meaning 90° siya. Okay? What else? We also have here a rombus. Ano naman po ang ibig sabihin ng rombos? This is also a parallelogram with four congruent sides naman po. So if we have here this image, kapag maga-garantee natin na yung mga sides niya parallel, itong ah nasa taas at nasa baba parallel, left and right are also parallel. Then we can say that this is a rombus if and only if yung mga sides nila ay pare-parehas or congruent equal measurements. Okay? And then lastly, we also have the square. A square is a parallelogram with four congruent sides and four right angles. Okay? So if you have here an image of a
11:44 square, dapat alam natin or we have to make sure na iyung mga sides niya parallel. So is isang pares is parallel and then the other two sides are also parallel to each other. Okay? And what else? Dapat congruent ang sides. Make sure natin na lahat ng sides ay pare-parehas. Equal in measurement as well as with the angles. Kapag lahat naman iyan ay 90° angle or right angle, they are all equal. Okay. So there you go. Those are the different types of parallelograms. We have the rectangle, rombus, and square. Pero question, we have here a question. is a square a rectangle. Sa tingin niyo ito pong square na to ay rectangle? Kasi ang rectangle sabi diyan a parallelogram
12:30 with four right angles. No? What else? Another question is is a square a rombus? Ah rombus din po ba matatawag ang square? Kasi ang rombus is a parallelogram with four congruent sides. The answer on for these two questions is actually yes and yes. Ano? So yung rectangle po natin considered po yung square na under ng rectangle. Okay. Parehas din po sa rombus. 'Yung mga definition ng rectangle and rombus, pasok po siya dito sa square. So, a square can be a rectangle, a square can be a rombus. Pero hindi natin masasabi na 'yung rectangle square. And we we cannot also say that a rombus is a square. Okay? And by the way, kapag ang
13:16 image po natin slanted looking, hindi po automatically na rombus po siya, no? As long as the angles are right angles, no, we can say that it is a rectangle. Okay? Wala po, minsan wala po kasi sa drawing yan. Sometimes the drawings, illustrations in a book or in an activity is not uh on a scale. Okay? Pati rin po yung rombus. Minsan kadalasan tinatawag itong diamond pero diamond is not a formal mathematical name. Uh rombus does not necessarily have four right angles as well. Okay? Okay. Bago po natin makalimutan, ito po yung mga definition ng ating special quadrilaterals. Kanina nai-prespresent ko po iyung kite. Okay? A kite is a
14:03 quadrilateral with two distinct pairs of adjacent congruent sides. So we have here two adjacent sides. they are congruent. Another two adjacent sides, they are also congruent. Okay? So take note two distinct pairs. Magkaibang pares po yan no? Hindi parehas. They are adjacent congruent sides. Okay? So this is under the category trapezium. Next we also have the isoccelis trapoid na prinesent natin kanina. Ito naman po ang definition. An iscelis trapoid is a trapoid with congruent non-parallel sides. Okay? So saan po dito yung congruent? Itong dalawa na hindi parallel. Okay? They are congruent. This is called an isocelis trapezoid.
14:49 Okay? So to summarize our lesson, let's have here the diagram. Okay. Or the hierarchy of quadrilaterals. So first iyung quadrilateral natin and then it is divided into three categories according to parallel sides. Okay? So yung una trapezium wala po siyang parallel sides. Aside from that we also have the parallelogram which has two pairs of parallel sides. And then last category is iyung trapoid which has one pair of parallel sides only. So again no parallel uh two pair of parallel and then one pair of parallel sides. Okay? Under these three main categories we have here the kite for trapezium. Okay? So although walang parallel sides ito,
15:34 two pairs, distinct pairs are congruent. Okay? Congruent sila. And then under parallelogram, dalawa po iyan. So pwedeng rectangle, pwede rin naman pong rombus. Okay. So, this two has two pairs of parallel sides. And then for rectangle, dapat po ay meron siyang ah right angles. Four right angles. For rombus naman po, not necessarily na meron siyang right angles as long as all the sides are congruent. And then under this two, pwede na nating isulat dito iyung square. Okay? Ibig sabihin, this square is a rectangle and this square is also a rombus. And most of all, it is a parallelogram. Okay? Of course, it's a
16:19 quadrilateral. So yun po yung ibig sabihin ng square. May apat na right angle, may apat na congruent sides and then dalawang pares ng parallel sides. Okay. Last for trapezoid under this, we also have an isocel trapoid. Ibig sabihin this two nonparallel sides are congruent. Okay. So this is now the hierarchy or the summary of quadrilaterals. Tandaan po natin to. Pwede natin ong i-drawing sa ating mga notebook or i-memorize po natin yung pagkakasunod-sunod. Okay. Now, can we accurately identify the type of these quadrilaterals? Okay. Yung pinakita po nating images kanina, maa-identify na po ba natin yung classification ng bawat isa? Actually,
17:04 hindi pa po. Bakit? Classification must be supported by markings, measurements, or given conditions. In our previous lesson, dapat ma-guarantee natin kung lahat ng mga ito ay totoong ah type of quadrilateral. So dapat may mga markings iyan. So let's try let's have this markings and marks or uh visual representations para ma-identify natin kung anong type of quadrilateral ang bawat isa. So I'm going to give you time. You can try to answer this and then try to identify kung ano iyung specific ano yung pinakamalapit na classification. So huwag po tayong maging general. Dapat specify po natin yung type of quadrilateral. So you can do this in your own. You can pa this
17:50 video and later we can check if your answers are correct. Okay, I now believe you are ready. Let's now check your answers. For the first illustration or image. Ah mag-base lang po tayo sa mga markings. Kahit na mukhang po iyung ating mga figure diyan. As long as may mga markings diyan, pwede na natin siyang i-conclude. So, first, we can have this as a square because we have here congruent sides. We have here four right angles. Okay, that is a characteristic of a square. Next, we have here a trapezoid. Okay, as you can see, meron po tayong isang pares ng parallel sides. Next, we have here a rectangle with four right angles. Okay.
18:39 And then we have here the next one, rombus. Kasi lahat po 'yan ay congruent pero hindi naman po necessarily na right angle. Okay. For the fifth illustration, wala pong markings. Hindi natin masasabi na parallel lahat ng mga sides diyan or hindi din natin masasabing congruent or right angle. We have no clue. That's why this is just a general quadrilateral or pwede nating specify as a trapezium. Ibig sabihin a quadrilateral with no parallel sides. Okay. Next. This has two sets of parallel uh sides. I mean two pairs of parallel sides. We can call this a parallelogram. Next one, meron tayong dalawang congruent sides. And then another pair of congruent sides.
19:24 This is a characteristic of a kite. And then next, we have here one pair of parallel sides. And itong dalawang nonparallel sides, they are congruent. This is a type of trapoid which is an isoselis trapoid. Okay. Now, kung nakuha niyo ito perfectly, well, let's try exercise B naman po. Okay. So, here the same. You will identify the type for each quadrilateral. As you can see, medyo od looking yung mga illustrations natin diyan pero may mga markings, clues for you to identify. Okay. So, bigyan ko ulit kayo ng time to answer this. Okay, let's now proceed with our answers. So the first one, this is
20:10 actually a rombus. Okay, mukha siyang diamond pero sabi ko nga po kanina wala po tayong diamond na classification sa mathematics. Okay? This is just a rombus. Equal or congruent po lahat ng sides pero wala naman pong sinabing ah right angle silang lahat. Okay? So this is just a rombus. Next one. This is actually a parallelogram with two pairs of distinct parallel sides. Okay. Next, we also have here dalawang sides congruent. Another pair of congruent sides. Walang right angle. We can call this a kite. Okay? Mukhang parehas sa rombus pero magkaiba po sila ng markings. Next one, this is just a rectangle. Okay. Patayo lang po yung
20:55 orientation niya no'no. So still they have right angles. Okay? Four right angles. Next we have here uh an isoselis trapoid. Kasi we have here one pair of parallel sides and the non-parallel sides are congruent. Next. Okay. Meron po tayong shape dito na may iisang right angle. Okay? Pero walang pinakita na clue sa ibang sides. This is actually a general quadrilateral. or we can just say trapezium kasi walang pinapakita diyan na parallel. Wala ring pinapakita na markings na nagsasabing congruent. Kapag ganyan po ang case, huwag po tayong mag-rely sa mga ah sa ating instinct. Rather, we have to ah we have to look for markings. So since walang
21:41 ibang markings and then iisang right angle lang siya, it's just a quadrilateral. Okay. Next we also have here of course this is a square. Okay. Uh equal sides, equal congruent ang sides. Pare-parehas po ng 90° yung apat na angle. Okay? And then lastly we have here. Meron po tayong clue diyan. Parallel po yung dalawang sides niya. But the other two sides hindi po parallel at hindi rin po congruent. This is just a trapoid. Okay, before we end our lesson, let's just go back to my first question po kanina. Sabi dito, "Which figure does not belong with the others and explain your answers?" So, nasagot din po natin to kanina. Just like the members of the
22:27 what we call the quadrilateral family, no? Uh none of the figures is excluded. They are all members of the quadrilateral family. Okay? So just like this, people have different characteristics din po, no? Strengths, abilities, backgrounds and experiences. magkakaiba po tayo. These differences help make each person unique. However, differences should not be used to decide that one person is more valuable than the other. People may have different qualities, abilities, and backgrounds, but everyone deserves equal dignity, respect, and acceptance. Dito po sa math isip, lahat po tayo ay family. We are all family here. Okay? Our difference makes us
23:13 unique. Our shared humanity makes us equal in word. Okay? So tandaan po natin iyan. Okay, by the way, if you want to master more of our lesson, you can actually answer this in your own and then try to check it with your teachers, especially if they are using our PowerPoint presentations. But for now, class, thank you very much for listening. I hope meron po ulit tayong natutunan. I hope to see you again on our next lesson. Bye-bye for now and God bless po sa ating lahat. Kung meron kang natutunan sa video na ito, please click the subscribe button to [musika] support this channel para mas matulungan ulit kita sa mga susunod mo pang matth lessons. Lagi mong tatandaan ang [musika] matth ay para sa lahat at ako
23:58 si teacher Van. Nagsasabing dito sa mat [musika] isip lamang ang nag-iisip. God bless and see you on the next video.
