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Transversals & Angle Relationships Part 1

Added Feb 27, 2023 •

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Transversals & Angle Relationships Part 1

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what's going on yeah it's your math teacher Miss Harris and I'm back with another video so today we are officially done with 11 exponential's and we are moving right along to eat 12 angle relationships are you guys already know what I want you to I want you get your pencils I want you get your notebook something to practice with you're also going to need like some color pencils are highlighted cuz we will be teller coming today but I'll explain that later when you get out of stuff let's just get into it he would like to do that with you guys to understand that you have already learned this this should have been like one of the last things that we learn before the pandemic hit in 2020 so this kind of should be like refresh in your brains don't you see it vocabulary words in when I start the color how do you like yeah I remember this guy so it should come back to you in just a few seconds okay we are going to learn the definition of angles that are created when and then when they're cut by a transversal okay I was going to find the missing angle measures using just in case it's a special angles had some once we learn the angle type that we will be able to find out if the angles are going to be equal or they're going to add up to 180 your success criteria and add you can notice the color coding is going to be very very serious today is going to be very very important so make sure you pay close attention and you color in the right numbers correctly if you mess up and is going to hinder you from getting the angle measure great so please make sure you pay attention today also with tell according to rate your other success criteria is to identify the angles that are created when parallel lines are cut by a transversal and using an argument be able to use protection to establish the facts about mangle song okay like I want you know the angle type you will know the angle measures what do they are equal or what they add up to 180 all right that's happened to this thing Basics here we go the first thing we need is supplementary angles we need to remember what is a supplementary angle now in 7th grade you guys should have learned about complementary angles and supplementary angles not complementary angles is two angles that equal up to 90 supplementary angles are the two angles that equal up to 180 so supplementary angles when they equal up to 180 they make this wonderful straight line right here and it's just two angles that are literally pushed together right next to each other and they make that straight line so great simple and good one and I go to make a 180 so there's a mentoring and go three and angle for their push together and they make a straight line so they're stopping Mary five and six are supplementary 78 or make a straight line they are supplementary okay and it's doing it again I don't understand I don't understand why it's doing this. angle 2 in equal to 180 angle 3 and angle 4 is going to eat with a 180 angle and angle 6 is going to equal up to 180 angle 7 and angle 8 1/8 in equal up to also if you look at it a different way I wanted three make a straight line five and seven six and eight doing for so as long as they're two angles that are pushed together and they make that straight line they are supplementary okay let's move vertical angles angles are opposite angles are there going to be across from each other and are going to kind of make an X and I'll show you exactly what I mean right now like you got this section right here your dissection in his section your cross from each other not next to each other I got to be across from each other's light two and three are going to be vertical one and four are going to be vertical cuz they are crossing each other okay the vertical angles are opposite of each other but they're going to share the same birthday cakes and their measures are are congruent okay so what's going to happen is you're going to have this x you're going to have the two angles that are across from each other they're going to share the same birthday but they're going to be the same measurements like let's just say that angle to be 60° that means that angle 3 also 60 degrees so if I go to is 60 that means that it ain't one thing it's 123 122 angle for is also one swing G making these numbers up but I'm just letting you know that is a vertical angle they are going to be the same measure that's when I get back safe number okay so I can go to the dental be equal to angle 3 and angle one is going to be before same thing with the bottom 5:30 and 8 or going to be vertical six and seven are going to be vertical guy make sure you guys are riding down these definitions as well as like drawing this diagram I'm so if you need exposure Spring right now please do so if not let's go ahead and move on all right so next thing song about is exterior angles exterior angles are created when a transverse across two parallel lines okay that he spared his angles are outside the parallel lines and on the same side of the transversal so yes you have to write down their definition but as you can see clearly this diagram we're going to color code and I'm going to get my highlighter are there are the ones that are outside so if you notice you got these two parallel lines it right parallel line parallel line your transfer case in Salina cuts through it okay outside of this outside of these two parallel lines those are going to be exterior angle so one and two are exterior 8 and 7 are exterior okay please know the exterior angles are also supplementary they create a line day which is equal to what a t and I will have like that for you as well you are second so 1 and 2 make a straight line 8 and 7 also make straight line so they are supplementary they make 180 okay so pause your screen right here color code and write down the definition and then let's go ahead and go on to the next one okay alright so let's go ahead and move on Nexus interior door so it's pretty much the same thing as exterior but instead of being on the outside you are now on the inside okay so interior angles are greater where a transversal and parallel lines eat pretty things are inside the. analyze and are on the same side of the transversal angles are also supplementary and they create a line which is 180 peso literally the only difference between exterior and interior I think of interior decorating your decorating the inside of a house interior angles inside of parallel lines exterior means outside okay so make sure you draw this diagram color code wiring color coded blue here's a highlighter color-coded blue hey there's blue there's a blue there's a blue there's a blue that we were looking for the supplementary angles in this one and they got to create a line so that means the three and four they are supplementary three and four equal 180 day and then 5 and angle 5 and angle 6 people when they are supplementary all right so go ahead powered your screen if you need to go ahead and write this down and then we're on we go that's going to want the next one now let's talk about alternate exterior angles and we talked about exterior angle that are on the same side but alternate exterior angles are actually going to be on opposite side so this is where the color coding is very very very important exterior angles are still on the outside but now they are on different sides of the outside if that makes sense so notice what I have here my diagram so I have angle 2 and angle 8 they are alternate exterior I totally get my racer price of angle 2 and angle 8 are going to be alternate exterior angle 1 and angle 7 are alternate exterior because they're both on the outside of the parallel lines but they're on opposite side that's why I need you to realize that alternate means death or opposite now the other things you need to realize with alternate exterior angles is that these angles will be the same measure they're going to be congruent okay the Westside the angle two equals 75 degrees that means the angle 8 also equals 75 degrees if angle one equals 115 degrees that means the angle 7 oz equals 115 degrees angles are on different sides of the outside but they have the same measurement okay if you need to write this stuff down like I said before go ahead and pause your screen and then we'll move alright let's go ahead and move on to the next one all right so next alternate interior angle so I guess you guys can find like pick up what I'm putting down alternate interior wear on the inside of the parallel lines but this time we are not on the same side of the transversal that line and cuts through we are on opposite sides we're on different sides okay so please remember that that's what alternate means different or opposite now when you're on different or opposite side of the transversal your measurements are going to be room with they're going to be the same number so then I can go for and angle 6 are alternate interior that means if angle for was less a 35° that means that 06 is also going to be 35 degrees now like I said I'm just giving examples I'm just letting you know like this is what it could look like but this will also help you on your practice worksheet that I will give you ain't go three and angle five let's talk about it they are are color coded the same that they must be also alternate interior the last day that angle 3 equals 180 68 degree that means that angle 5 is also going to equal 168 degrees that is all okay if you have already passed your screen if not go ahead and do that nasty can write all this down I'll go ahead and give you a second to pause all right here we go all right so corresponding angles this one can get a little more tricky just because it's it's a lot going you got one two three four different colors going on so let me try and explain this the best way that I can course finding angles are on the same side of the transversal and are on the same side of this line that I just highlight a red right there in the same position intersections so if I'm at the Top If I'm on the left at the top section I'm on the left at the bottom section if I'm on the right at the top section I'm at the right on the bottom section okay is I'm thinking I'm at the top I'm still going to be at the top right in the other section like it it just let me show you what I mean so yellow and yellow top left top left green and green top right top right blue and blue bottom left bottom how to do hard cuz I don't know anymore Jason orange and orange guy's bottom right bottom right so do the corresponding angles are on the same side of the line that is parallel lines and they're also in the same position I know last things you need to know corresponding angles are congruent so that means that if 1 and 5 are corresponding they're going to eat with the same thing so if angle 1 1 equals 45 that means that angle 5 equals 45 and 6 if angle two equals 57 let's just say I know that's wrong and go to is 57 then that means the angle 6 equals I'm just throwing numbers out there if angle let's talk about the blue if angle for angle for is cute that's just a 79 degrees that means that angle it's also 79 degrees. Hopefully you guys are catching on to what I'm saying so if you are a corresponding angle you're in the same spot where they're on the top section or the bottom section and you have the same measurement okay all right. I'll just ring if you have not already written this down if you have great just give us one second and we will go ahead and move all right let's go ahead and move on to the next to the next section which is consecutive interior angles now I can take it if interior are also known as linear pairs okay now do that create lines with your equal to 180 so notice what we have here once again notice your color coding so four and five all right are going to be consecutive in because yes they are on the same side of the transversal okay but they also create a line which makes 180 so noticed that there on this line so far and 5 together you got this anger is going to be a cute you got this angle. don't be obtuse and acute busting up to something to make a straight line when she's going to give you 180 so let's say that angle for equals 40 degrees then that means the angle 05 as to give me whatever number I need in order to make 180 days the 180 - 40 is going to give me 1:40 so when you add those two together you're going to get your 180 which is what you want okay same thing here with three and with six angles 3 Let's just say it is 125 then that means that angle 6 has to be whatever is missing in order to get to 180 okay so if 180 - 25 is going to give him a angle for and let me see my number is going to be with a 4555 55° degrees and that is how they will because I'm consecutive interior angles Eclipse 180 okay alright now let's review I know there was a lot I know it was take your time and feel free to rewind if you do not understand or if you do not get all of your color coding or if you did not get all your but if you did get all of that let's go ahead and practice identifying okay let's start with exterior angles just basic extra time I alternate basic exterior angles angles that are on the out side of the line okay so we're looking for outside of the parallel lines so I look at diagram a favor look a diagram pay them right here the ones that are on the outside that icr-1 2/8 + 7 + 1 + 2 + 8 and angle stabbing that is why I want you to do I want you to pause your screen and I want you to look at diagram be stay and figure out what are exterior angles alright here we go so hopefully you caught on to what I was thinking about diagram B I want you guys to look at just the egg angle don't look for any all snakes or anything like that but there was also a cash I'm going to highlight the catch right now this is Harris did not see it at first. Angles in transversal so what's going to happen is I'm going to highlight line April you diagram be oh oh my goodness we just need to look on this line right here so we're just looking on this line right here I need to find the angle that are on the outside with a hanger that are on the outside I hear my pants are going to be angle one angle for angle 6 and angle stabbing hope you got that right awesome job if not that's okay I'm going to keep practicing okay let's go ahead and look at all exterior angles and I'll change my color are the alternate exterior angle so they are on the outside but they're going to be on opposite sides of the transversal diagram the moon angles that are on the outside but on the opposite side of the transversal okay so when I look at this I'm going to notice that exterior alternate exterior angles on this stop this line are going to be one in seven and then two and 8 so the same numbers we just got to put them in a okay so one 7 are alternate exterior so you were right angle 1 and angle 7 cuz they go together and then you were right angle 2 and angle hate because they will go together okay now I want you to try your going to try diagram be but let me highlight notice you are going to look at alternate exterior angles and diagram be on transversal line be okay so this time later and we looking at this line right here alternate exterior lines and angle B just try it and we would take it together all right here we go I'm going back to my pain so we should have been looking at alternate exterior angles that are on transversal and be so if you look at our our exit your angles 1316 10:11 cuz he's on outside having a weird look at the pair they got to be on different sides and transversal that was going to happen is 13 + 11 or 0 exterior I'm going to right angle 11 and angle 13k and then also 10 and 16 they go together some angle 10 and angle 16 is if you got that right off my awesome if not let's keep on brakes and we got them all right so now we're going to look at corresponding angles now remember corresponding angles are going to be corresponding angles are going to be angles that are on the same side of the transversal in there at the same position that's right all right so same position and same side of the transversal okay Ms I want you to look and then we'll take it together let's just do diagram Avis town okay just diagram 8 are here we go let's go ahead and just do diagram and 70's going to skip diagram be for this one just because I want to make this video why so long let me change my color real quick ISO diagram a rumor corresponding angles are in the same position on the same side of the transversal okay so let's start with one so one and five are in the same position change top left top left so those must go together now let's look at 2 and 6 top right top right so don't you go together 4 + 8 bottom left bottom left is a little too much going together and ate all right and then last but not least buy them right and buy them right angle 3 and angle 7 case if you got that right off my awesome if not let's keep on practicing interior angles we just want to go that are on the inside of the parallel lines I'm going to do that Granny are going to do diagram be okay let me go ahead and clean some of the stuff we're doing a lot right here yes clean it up clean it up bring it up all right that looks so much better what's going to happen to you as we're looking for the angles that are on the inside and diagram a side of these parallel lines parallel are Leo I don't judge me on my Lantern. are the ones on the inside of here is 4 and 3 + 5 and 6 so I will put angle for and go 3 + 15 + 16 OK Google same thing that you guys are going to look at transversal lines see on diagram be gangsters going to be this line right here transversal lines D on diagram be so go ahead and give it a shot just inside okay so we're just looking at this section right here cuz we're focusing on transversal lines day so we want to look at what's on the inside here so that means that 3 + 4 + 13 + 14 are going to be our interior angles are you going to Wrangle 3 + 4 1/3 angle 14 days if you got that right all right so often rainbows on the inside but on opposite sides of the transversal okay let me do that gram and you guys are going to try diagram be all right so with alternate interior angles like I said I'll be inside James Bond office. the word that means is you are going to still be looking at 4 and 3 5 and 6 but you want them to be across the side opposite side but I mean to three and five are going to go together and go 5K Dan angle for an angle 6 there we are now you guys are going to try a transversal and he's let me high like that for y'all alternate interior angles all right so use it look at what's on the inside and look at the opposite sides are okay and then we'll talk about it all right so hopefully I'll be catching on so we're going to look at the inside here okay 8 and 7 9 and 10 K but the problem is I don't need them on the same side I need them on opposite side so that means two angles that and then go 9 or going to go together and then and go 8th and angle 10 are going to go together if you got that right Haitians you're such a smart cookie if not that is okay just keep trying it takes practice one interior angle of interior angles are going on inside but they are going to be things that are the transversal and are going to add up to 180 okay so I'm going to do the ones in the diagram a and of course you guys going to do the one in diagram be then go ahead change my color one last time I'm still looking on inside okay but now I want angles that are on the same side of the transversal stuff I like the transverse the right here Needle on the same size that means that four and five have to go together and I mean that 3 and 6 have to go together now you're going to do the same thing but you're going to do it on diagram be transversal line be so what I'm going to do is I'm going to highlight that in red for you hey I want you to give it a try when we doing and then we are done thank you all right so this I had to look in the chat in the most challenging one yet because you have to look at it differently. We mainly been looking at like vertical lines are lines that are going up and down but we've never look at it at a horizontal stand point so you guys are going to have to look at this section right here okay and we want to focus on the numbers that are inside this section on the outside so when I look at 13 and 16 looking at nine 12:14 a.m. then once again is that give interior angles need to be on the inside on the same line they have Eclipse 180 well 9 and 12 are not going to eat you up to 180 a 1415 or not going to eat you up tonight now 9:14 make a straight so that means that they're going to equal up to 180 so you need until 9 and anchor 14k all right Now ladies and gentlemen we are at the end so you know what to do you already know hit me up email me okay text me the other remind app I'm not really going live as much as I used to anymore just because I don't have people showing up but if you eat famous hairs I need you to go live I have no idea what's going on I need some help I just need some more explanation on what we're actually talking about please let me know and I will be more than glad to get online with you guys otherwise I'm just are you sending the videos in the assignments but thank God for hanging in there with me I know this video was longer than I intended but hey at least you got some good description and got some good explanation on what these I go types are and now you can go in the planet on your practice worksheet wonderful geometry mathematicians and we can keep it Rockin for the next 3 weeks cuz we are almost there y'all are tell you that every week we're almost there almost there give up the good work please holla at me if you need me yeah and I will see y'all next time bye

Uploaded by Kristen Harris.

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Transversals & Angle Relationships Part 1

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