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2 line segments bisect
have same midpoint- midpoint x2
2 lines are perp
neg recip slopes- slope x2
2 lines are para
same slope- slope x2
line is a perp bisector
bisected+perp- midpoint of the line being bisected, slope of both lines
alt of a triangle
perpendicular- slope x2
median of a triangle
pass thru midpoint- midpoint
isos triangle
2 sides are cong- dist x2-3
right triangle
prove 2 sides are perp- slope x2, Pythagorean thm- dist x3
cong triangles
sss- dist x6
similar triangles
show proportions- dist x6
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
rectangle
4 right angles- slope x4
para→ right angle- slope x2
para→ diagonals are cong- dist x2
rhombus
4 cong sides- dist x4
para→ consec sides are cong- distx2
para→ diagonals are perp- slope x2
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
trapezoid
only one set of opp para sides- slope x4
isos trapezoid
trap→non-para sides are cong→isos- dist x2
trap→diagonals are cong→isos- dist x2
standard form slope
-a/b
standard form x/y int
x: ax=c
y: by=c
Note
Flashcard