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Unit 6: Geometry (6A.1 - 6A.4 (6A.1 (Corresponding angles: angles that are…
Unit 6: Geometry
6A.1 - 6A.4
6A.1
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If an angle has something like 5x, write out the equation 5x+x=180 then combine like terms and write out the answer: 6x=180, then you must divide 6x by 180 (6÷6x=180÷6) and you should get 30. Then you must subtract 30 from 180 and get the second angle (5x) which is 150
6A.2
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If working with rectangles, if you are given the width and height to find the missing number you also use the Pythagorean Theorem
6A.3
If all areas are defined substitute all values into Pythagorean Theorem then solve by combining like terms on one side of the equation, if both values are the EXACT SAMEyou have found the converse of the triangle
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6B.1 - 6B.3
6B.1 and 6B.2
Example: (x, y)→(x+9, y+6)
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Dilation causes an image increase or decrease depending on the value of k, if k, is one the image has a normal size, if k is a decimal then the image size decreases
Reflections have an image reflect over the x or y axis, the simplest way to find the reflected coordinates it to multiply x or y (it depends on the axis of reflection) by -1
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6B.3
Similar Polygons are Polygons that have the same shape but not the same size, if they have the same shape and size they are congruent
Tracing paper is not necessary, but recommended for finding congruent shapes and similar polygons
6C.1 - 6C.3
6C.1, 6C.2 and 6C.3
To find the volume of a cylinder you must use the formula Make sure to put v cyl= before the formula starts
The formula for the volume of a sphere and hemisphere are different, instead of also multiplying the height you must remove the height element entirely, also multiply by 4 (2 for a hemisphere) and cube the radius
To find the volume of a sphere you must use this formula: to find the volume of a hemisphere you must use the formula
Finding the radius is imperative for this entire learning target, the radius formula is r=d/2
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