Geo Flashcards
sum of 3 sided polygon
180
sum of 4 sided polygon
360
sum of 5 sided polygon
540
N-2*180
sum of 6 sided polygon
720
area of trapezoid
(b1+b2)*h/2
Triangle - sum of 2 sides must be > or < 3rd side
difference of 2 sides must be > or < 3rd side
>
<
right triangles
3 of them
3, 4, 5
8, 15, 17
5, 12, 13
measure of exterior angle =
sum of 2 non-adjacent angles
inscribed angle
is half of angle that touches center of circle (same arc)
area of rhombus
d1*d2/2
inscribed triangle has a side that’s the diameter
opposite angle is 90 degrees
maximum area
equal sides (square), also gives min perimeter
area of equilateral triangle
s^2 rt 3 / 4
2 similar triangles with ratio of a:b
area ratio is a^2 : b^2
Applies to any polygon!
diagonal of a square
x rt 2
diagonal of a cube
x rt 3
surface area of a cylinder
2pi r^2 + 2pirh
midpoint btwn 2 points (x1,y1) and (x2,y2)
(x1+x)/2, (y1+y2)/2
Diagonal of a rectangular volume
D^2=a^2+b^2+c^2
Similar triangles
For right angle, just need one other angle bc that proves all 3 angles same so triangles are similar
Either way need to find 2 similar angles
Maximize rhombus
Turn into square
Basically turn polygon into right angles to max
Perpendicular bi sector
Negative reciprocal slope, don’t forget reciprocal
Where parabola touches x axis
Use b^2-4ac
Solve quadratic=0