coordinate geo

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18 Terms

1
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2 line segments bisect
have same midpoint- midpoint x2
2
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2 lines are perp
neg recip slopes- slope x2
3
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2 lines are para
same slope- slope x2
4
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line is a perp bisector
bisected+perp- midpoint of the line being bisected, slope of both lines
5
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alt of a triangle
perpendicular- slope x2
6
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median of a triangle
pass thru midpoint- midpoint
7
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isos triangle
2 sides are cong- dist x2-3
8
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right triangle
prove 2 sides are perp- slope x2, Pythagorean thm- dist x3
9
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cong triangles
sss- dist x6
10
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similar triangles
show proportions- dist x6
11
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parallelogram
* 2 sets opp sides are cong- dist x4
* 2 sets opp sides are para- slope x4
* 1 set opp sides are para and cong- dist x2 + slope x2
* diagonals bisect each other- midpoint x2
12
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rectangle
* 4 right angles- slope x4
* para→ right angle- slope x2
* para→ diagonals are cong- dist x2
13
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rhombus
* 4 cong sides- dist x4
* para→ consec sides are cong- distx2
* para→ diagonals are perp- slope x2
14
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square
* rectangle→consec sides→rhombus- distx2
* rectangle→perp diagonals→rhombus- slope x2
* rhombus→one right angle→rectangle- slope x2
* rhombus→cong diagonals→rectangle- dist x2
15
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trapezoid
only one set of opp para sides- slope x4
16
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isos trapezoid
* trap→non-para sides are cong→isos- dist x2
* trap→diagonals are cong→isos- dist x2
17
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standard form slope
\-a/b
18
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standard form x/y int
* x: ax=c
* y: by=c