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math mindmap - Coggle Diagram
math mindmap
angles
supplementary: 180°
complementary: 90°
parallel: two lines that dont intersect
perpendicular: intersecting lines that equal 90°
intersecting: lines that cross at one point
adjacent: angles in the same plane
that has common vertex and side
root
square root
opposite of
square
3² = 9
√9 = 3
cube root
opposite of cube
3³ = 27
∛27 = 3
rationalize
rules
a√c + b√c = (a+b)√c
a√c - b√c = (a-b)√c
a√b x c√d = (a x b)√c x d
√a / √b = √a/b
√12 = √4x3 = 2√3
transformation
translation
rotation
reflection
dilation
exponent
used to rewrite a long
multiplication problem
with same base
3² + 3³ = (3x3) + (3x3x3)
= 9 + 27
= 243 = 3⁵
(3³)² = 3³ x 3³ = 3³⁺³ = 3⁶
3⁵/3² = 3⁵⁻² = 3³
negative exponent
3⁻² = 1/3²
triangle
similarity and
congruency
dilation
reduction
ratio of all the sides are equal
pythagorean theorem
a² + b² = c²
sin, cos, tan
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
circle
rules
opposite angles in quadrilateral
will sum up to 180°
angles in the same segment are equal
central angle = double the circumference angle
tangent = 90°
the angle in a semicircle is always 90°
