Geometry EOC Review

7 September 2022
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39 test answers

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question
x times radical 2
answer
How to go from short leg to hypotenuse in a 45-45-90 triangle
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x times radical 3
answer
How to go from short leg to long leg in a 30-60-90 triangle
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x times 2
answer
How to go from short leg to hypotenuse in a 30-60-90 triangle
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(y, -x)
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90 degrees clockwise/ 270 degrees counter clockwise rotation: (x, y) -> ___?
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(-x, -y)
answer
180 degrees rotation: (x, y) -> ___?
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(-y, x)
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270 degrees clockwise/ 90 degrees counterclockwise rotation: (x, y) -> ___?
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(x, -y)
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Reflection across the x-axis: (x, y) -> ___?
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(-x, y)
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Reflection across the y-axis: (x, y) -> ___?
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(y, x)
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Reflection across the line y=x: (x, y) -> __?
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sin= opp/hyp
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the SOH in SOHCAHTOA
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cos= adj/hyp
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the CAH in SOHCAHTOA
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tan= opp/adj
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the TOA in SOHCAHTOA
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4pi(r)squared
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surface area of a sphere
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4/3pi(r)cubed
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volume of a sphere and cube
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Bh
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volume of a prism/cylinder
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1/3Bh
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volume of a pyramid/cone
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c(squared)= a(squared)+b(squared)
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pythagorean theorem
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(3,4,5) (5, 12, 13) (7, 24, 25)
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pythagorean triples
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x/360 times 2pi(r)
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How to find arc length
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x/360 times pi(r)squared
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how to find the area of a sector
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(x-h)squared + (y-k)squared = (r)squared
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Standard equation of a circle
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If p->q and p is true, then q is true
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Law of Detachment
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if p, then q
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Conditional statement
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if q, then p
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Converse
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if not p, then not q
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Inverse
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if not q, then not p
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Contrapositive
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p if and only if q
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Biconditional
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if p->q and q->r, then p->r
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Law of syllogism
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rise/run
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Slope (hint: r/r)
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same
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Parallel lines have the ______ slope
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opposite, reciprocals
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Two perpendicular lines have _______ slopes and they are _______
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a:b
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scale factor
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a:b
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ratio of perimeters
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a(squared):b(squared)
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ratio of areas
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a(cubed):b(cubed)
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ratio of volumes
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interior angles sum
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(n-2)*180
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each int. angle
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(n-2)(180)/n
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exterior angles sum
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360 degrees
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each exterior angle
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360/n