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Geometry Lesson 1-6 Two Dimensional Figures

Added Sep 19, 2017 •

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alright so today is chica mention of figures I forgot my l alright definition of a polygon is a closed figure formed by a finite number of coplanar called sides besides have a common and points that are noncollinear image side intersects exactly two other sides that only a 10 points is so a closed figure formed by a finite number of coplanar segments called sides the vertices are the points where the two sides of the polygon are set every name the polygon using the letters of the vertices in consecutive order so for example for the vote of seeds here are g h J K L & M bazooka places where the sides that are set and one example of a name for his polygon with bgh jklm you can start with any Botox and go clockwise or counterclockwise so I can start it and call lmg JK I just can't start an m and go MJG hkl you can't just talk around she have to go consecutive counterclockwise or clockwise besides RGH h j j k l k m l & G and those are the sides of the polygon so they may have a number of polygon examples and not polygon examples in your bed I just put a few they have a few more than that in your book or they are page 56 so polygons are closed figures connected by segments the sides intersect only once at each endpoint the map part 1 is the Family Guy I'm like if I extended these like they're so this would still be the segments would so from the polygon even if they show the extensions yeah you mean appetizer somewhere yeah because you would tell me talking about particular particular not that extra stuff now these mom polygons over here this one's not because it's intersecting at more than 10 points that resides or if you prevent the side and this inside them of collinear insides can't be collinear in a polygon this is not a segment and that is not closed relax cuz they're not made up of segments polygons kandikonda concave or convex to we have that honor vocab sheet concave opening line of a polygon contains points on the interior of the polygon so if I blew a line through this side BB points on the interior here and this side does points on the interior so I just say if it's caving in somewhere then it's concave hey it's convexed if it's not concave convex there are no mine 10 points on the interior polygon if we drew lines to d-35 there would still be no points on the interior okay so it's just simpler to fake KTM if it came to a minute okay if it doesn't then it's convex the weather going to be classifying polygons so these are the names your recognize most of them but there might be a few that you did no sir three sided Paragon the triangle for sizes of quadrilateral beside the Pentagon six is a hexagon seven is a heptagon that might be one you're not with more whip it is an octagon 9 of a nonagon you might not be real familiar with our attended decagon and Logan we didn't even have this name in order textbook it's a hendecagon yeah now I've never heard that before 7:12 I'm gone so if it has 14 sides would call it a 14 Dawn if it had 25 to call it a 21k so these are the only ones special names zombie. You just say the number of sides with the word gone behind it EE yes your favorite chubby women on it should look like a circle yet yeah yeah yeah 25 degrees outside with names here the table is on page 57 so if you need to write it out in its entirety and you can find on page 57 couple more definitions equilateral and equiangular polygon does that honor vocab sheet equilateral is a polygon in which all sides are congruent an equiangular all angles are congruent so what's it called if it's equilateral and equiangular a square regular it's called regular if it's both equilateral an equiangular then we say it's regular putting lemon triangle yeah and we're going to talk about that more there's actually feeling about that but yes measured in what know I mean it feels just say if a trying is equilateral and equiangular or vice versa yeah but that's not true with everything not everything that's Rivals equiangular vice versa but it is true with a triangle hey Temple Run name and classify polygons go ahead and do this with me because we have 9 minutes left in for examples to get through okay name and classify the polygons it's unpaid it has 1 2 3 4 5 6 sides a hexagon it is not what is equilateral but it's not equiangular text Fernando I called the concave and it's equilateral because all the autocorrect Barbie is convex it's not 1 2 3 4 5 6 7 8 it's a octagon and it's both equilateral and equiangular so I would call it regular sorry about that my went together what's my G regular question will not at 7 ask you to name and class that's what they're asking you don't forget also when you're doing your homework you can check the odds in the back of your not sure exactly what kind of answers are looking for look up the odd next to your even face when I get immediate rise cuz we need to Bond that's interesting so the next piece of the lesson is on perimeter and area so you're proven or on your way so primitive the sum of the lengths of the sides of the polygon circumference is the perimeter of a circle the distance around a circle and then area is the number of square units how to cover a surface so we're going to review the formula for perimeter and area of triangle square rectangle Circle we just Addison Algebra I think this should be fairly simple I hope for triangle for the perimeter you just add the side vents b c and b b + C + d for the area is 1 base times height one half base times height turbo party in the formula for perimeter and area of the triangle the square the perimeter is for us cuz all the sides are equal if we add s + S + S + S we get for us and the area s x s s squared Bangles the rectangle perimeter is two lengths has to remember the opposite sides are congruent so there's two words and two ranks Save ad the Chipmunks and the Chipettes to get the perimeter true what's yes in the area of the rectangle is Lifetime done for the circle the perimeter again is called the circumference is 2 pi r or PG because two radii is the same 1 diameter right so cheap ir and pidie are the same thing for the area is pi r squared oops sorry about that so that's a review of your permanent area formulas forget to that yes what happened times perimeter yeah so you have to learn the possumus alright dude it's make me 539 Cedar Park perimeter and area of triangles rectangles squares and circles so let's review this is a rectangle and a circle the perimeter of a rectangle is 2 is it snowing and sometimes it's what do this with me this is your example to set appointment over B 6 + 4 + 4 + 2 or 10 points 6 centimeters number for area with a length times width set 3.2 x 2.1 6.72 so that's perimeter and area of a rectangle Denver circle circumference cherry pie are or Heidi 30 minutes the radius and this one is 3 so that becomes 6 time that would be your answer in terms of Pi if they wanted to the nearest ten you should probably key Fitzpatrick pikey don't use 3.146 x 5 but sometimes they say user .14 proud of him to the nearest hundred 18.85 Ford centimeters squared on my area there when the area of a circle Pi R Squared Kobe 9 high that's your answer in terms of Pi and then Ram the nearest hundred would be yes Trent / 28.3 the first one to the nearest tenth I lied 18.9 and then what 28.3 inches squared so you're just going to be finding perimeters and areas of all those figures arrays good with that 410 / 3 can I see if that's that's on the next page it says which of these shapes would use most or all of the courting and improves the largest area so you would have to do all four this summer again you're just doing are we doing perimeter or area urea so because she has 26 lb or supporting form of photograph so am I want to know which one that she is most or all of the courting and enclose the largest areas have to do both for each of these and then compare the answers how do you type so fast application of finding perimeter and area in the coordinate plane World from the last page Waka Flocka pranks in the corner find the perimeter and area using the figure in the coordinate plane simulator by quarter transfer to get the area

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Geometry Lesson 1-6 Two Dimensional Figures

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