Math Final Term 3 Flashcards
Range of function annotation
F(x)
Domain in a function annotation
x
Pythagorean theorem
a^2+b^2=c^2
Pythagorean inequality Theorem if acute
c^2 < a^ 2+b^2
Pythagorean theorem if obtuse triangle
c^2 > a^2 + b^2
Triangle inequality theorem
Sum of lengths of any 2 sides of a triangle must be greater than the length of the third side
Lateral area equation for regular prism
L = Ph, p is perimeter, h is Hight
Surface area of regular prism
S = L + 2B , =Ph + 2B
Area of square
A = side x side
Area of triangle
A = bh/2
Area of circle
A= pie x r^2
Area of parallelogram
A =bh
Area of trapezoid
A = h(a+b)/2
Lateral area of a right cylinder
L or Ch (c for circumference)= 2 x pie x rh
Surface area of right cylinder
S= L+WB , Ch+2b, (2 x pie x rh) + (2 x pie x r^2)
Lateral area of regular pyramid
L=Pl(l=slanted Hight) / 2
Surface area of regular pyramid
S=L+B (area of base)
Lateral area of a circular cone
L=pie x rl
Surface area of circular cone
S= L+B , ( pie x rl ) + (pie x r^2 )
Surface area of sphere
S = 4 x pie x r^2
Surface area of hemisphere
S = 3 x pie x r^2
Volume of sphere
4/3 x pie x r^3
Volume of hemisphere
(4/3 x pie x r^3) / 2
Rule for reflection over the x-axis
(x,y) —> (x, -y)
Rule for reflection over the y-axis
(x,y) —> (-x,y)
Translation vector
Between < , > and the signs of the number indicate direction
Coordinate notion
(x,y) —> (x+#, y+#)
Rule for 90* counter clockwise rotation
(X,y) —> (-y,x) (also for 270* clockwise
Rule for 270* counter clockwise rotation
(x,y) —> (y,-x) (also for 90* clockwise
Rule for 180* counter clockwise rotation
(x,y)—> (-x,-y) ( the same for counter and not )
Order of translation, reflection and rotation
translation THEN rotation Reflection THEN
