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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