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Yes, I know you don't want to hear us bore you to your death, but this presentation is probably the best cheat sheet you have for when your high school history teacher gives you an unexpected quiz on this guy. Euclid was a Greek mathematician.  He was known as the “Father of Geometry”.  At about 323 BC Euclid, was born in Alexandria, Egypt and died around 283 BC. He was a genius on the subject and many people looked up to him because of it.  One of his quotes was “There is no royal road to geometry”. See? That was short. Wasn't it?

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Wait a minute. What if Dr. Harris really wanted to know how much tea the local Starbucks puts in her extra large cup? She goes to the local Starbucks and demands to know how many inches tall and how many inches wide their extra large Starbucks cups are. After they spill the info in fear of Dr. Harris reporting them to their manager, she goes home and goes to work. 

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Wait a minute. What if Dr. Harris really wanted to know how much tea the local Starbucks puts in her extra large cup? She goes to the local Starbucks and demands to know how many inches tall and how many inches wide their extra large Starbucks cups are. After they spill the info in fear of Dr. Harris reporting them to their manager, she goes home and goes to work. 

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(In this case the cup is the same width from bottom to top) The cup is considered a cylinder and to find the volume of the cylinder you need the the formula V= π r²h. To find the radius your gonna have to divide the circumference (In this case, width) by 2 . The scared Starbucks employee said that it was 5 inches wide and 5 inches tall. If you were to divide the 5 inches by 2 you would get 2.5. So at this point the formula is now V=π 2.5²x5. 2.5² equals 6.25 so it's now V= π 6.25x5 so--

Actually, I think you don't need my help anymore here's the rest of the solution:
V= π 31.25
V=3.14 x 31.25
V= 98.125 in²
That's quite a lot of tea, Dr. Harris!

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(Whole post was  written by Bazawet) (Volume of a rectangular prism) You hear a knock on your door and you see an amazon package on your doorstep. It's says it was for you but you never ordered anything. You take it anyways. Who doesn't want a free amazon package? You take it in and open it and inside is a note asking you to figure out the volume of the box. It also says that if you figure out the volume in under a day, the sender would send some ramen noodles to you. A whole PACK of them. You couldn't resist so you got a ruler and went to work.

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(Whole post was  written by Bazawet) (Volume of a rectangular prism) You hear a knock on your door and you see an amazon package on your doorstep. It's says it was for you but you never ordered anything. You take it anyways. Who doesn't want a free amazon package? You take it in and open it and inside is a note asking you to figure out the volume of the box. It also says that if you figure out the volume in under a day, the sender would send some ramen noodles to you. A whole PACK of them. You couldn't resist so you got a ruler and went to work.

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You measure the height, width, and length and figure out that all 3 of them are 40 inches. The formula to find the volume of a rectangular prism is    V= lwh. Since all three are 40, you multiply 40 x 40 x 40 and get 64,000 inches. That's a HUGE box. I hope he sends the noodles in a box this big..

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(Surface area of a rectangular prism) You wanted to prank Tristan with a present that looked huge but only contained a banana and 2 pennies, but you don't know how much wrapping paper you need to wrap the present with. You get a ruler and get to work.

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(Surface area of a rectangular prism) You wanted to prank Tristan with a present that looked huge but only contained a banana and 2 pennies, but you don't know how much wrapping paper you need to wrap the present with. You get a ruler and get to work.

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The formula that you need to find the surface area of the box is
S.A.= 2lw + 2lh + 2wh. Unfortunately, it's quite a huge box so you have a hard time measuring. You find out that its length is 24 inches, its width is 46 inches and its height is 54 inches. The formula is now S.A.= 2 x 24 x 46 + 2 x 24 x 54 + 2 x 46 x 54 which can be reduced to S.A. = 2208 + 2592 + 5184, which means the surface area of the box is... 9, 984 inch

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How to find a the surface area of a rectangle is the same as finding the surface area.

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determining the volume of a rectangle prisms 

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determining the volume of a rectangle prisms 

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To find the volume you need to multiply the numbers that they give you. For example if 5 is height, 3 is width, 7 is length. The formula is V= lwh since there is no operation in between them it means your gonna multiply them together. 5 x 3= 15 x 7= 105 is the answer!

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Can solve practical problems involving the relationship between corresponding sides and congruent angles of similar shapes

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Can solve practical problems involving the relationship between corresponding sides and congruent angles of similar shapes

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Let's say that we have two squares that have different sizes, if one square had a missing angle but the other square has that angle marked than they are the same because all quadrilaterals have a different add up percentage, for squares it has to equal 360 degrees if two squares in different size are compared you can solve any missing angles and can solve any practical problem involved with it.

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Solve proportions to determine missing side lengths

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Solve proportions to determine missing side lengths

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You can find missing lengths between two similar shapes by using proportions. For example,  if there was a  missing length on a triangle, X , And the other triangle, which is bigger,  has 6 cm as its length and the length below it is 4 plus under the missing lenth there is 2. To get 2 from 4 you divide by 2 meaning that you would also divide 6 by 2 to get 3, which is the missing length.

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The formula for finding the volume is V= π r²h, it is almost identical when finding the area of a circle but you just add height. (i'm gonna copy off the homework) A giant mac book charger has a diameter of 7 mm -because the formula has radius in it you have to half it- then it turns into 3.5 radius. And 14 mm height, Then you multiple it all together with pi. If this was a problem on the sol the answer would be 538.51 cubed.

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It doesn't matter if the shape is reflecting over the y axis or if its reflecting over the x axis. But all you need to know is when the shape reflects over the axis its always has the same coordinates just in another section and is turned around in another way.

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Compare and Contrast quadrilaterals based on their properties 

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Compare and Contrast quadrilaterals based on their properties 

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When seeing a question like this it could have multiple answers or just one. So the question usually says what quadrilaterals have one pair of parallel sides that question only has one answer to it, a trapezoid.

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these are the shapes of geometry

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Solving practical problems involving relationship between corresponding sides

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Solving practical problems involving relationship between corresponding sides

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Method: if there is a triangle and quadrilateral and around the sides there are numbers and sometimes there is gonna be an x and here is how to solve it!

Step 1:  There are gonna be two similar triangles so find the side that has the x then go to the similar triangle and find that similar side  example: ab is similar to wx.

Step 2:  Find a different side of the triangles and set up a proportion to match it.