SYMKC geometry (better version)

Pythagorean Theorem

a²+b²=c²

sin theta

b/c

cos theta

a/c

tan theta

b/a

label parts of triangle

a: height
b: base (midpoint)
c: angle bisector

transformation

ratio of sides

a:b

ratio of perimeters

a : b

ratio of areas

a^2:b^2

ratio of volumes

a^3:b^3

5 types of triangle congruence

SSS, SAS, ASA, AAS, HL (hypotenuse leg)

rotation

horizontal reflection

vertical reflection

conditional statement

if p, then q

converse

If q, then p

inverse

If not p, then not q

contrapositive

If not q, then not p

perimeter formula square

P=4s

perimeter formula rectangle

P=2l+2w

circumference of circle formula

C=2πr

special right triangle 45 45 90

x, x, hypotenuse x√2

special right triangle 30 60 90

x, x√3, hypotenuse 2x

parallel lines
a is congruent to
a is supplementary

a is congruent to: d, e, h
a is supplementary to: b, c, f, g

area of square formula

A = s²

area of rectangle formula

A=lw

Area of a parallelogram formula

A=bh

area of trapezoid formula

A= h[(b1+b2)/2]

area of circle formula

A=πr²

area of right triangle formula

A = 1/2bh

herons formula

√s(s-a)(s-b)(s-c)

area equilateral triangle formula

A=(s²√3)/4

area regular polygon formula

A=1/2ap

Surface area of a cube formula

SA=6s^2

surface area of sphere formula

SA=4πr^2

surface area of cylinder formula

SA = 2πrh+2πr²

area is measured in ___ units

square

acute angle

obtuse angle

complementary angles add up to

90 degrees

supplementary angles add up to

180 degrees

volume of cube formula

V=s^3

volume of prism formula

V=Bh

volume of cylinder formula

V=πr²h

volume of pyramid formula

V=1/3Bh

volume of cone formula

V = 1/3πr^2 * h

Volume of a Sphere Formula

V=4/3πr³

volume is measured in

cubic units

diameter of circle

across

chord of circle

top across

tangent circle

radius of circle

half across

triangle interior angle sum

180 degrees

quadrilateral internal angle sum

360 degrees

Regular Polygon interior angle sums

sum = 180 * (n-2)

Arc Length Formula

s=r(theta)

Sector Area Formula

A = 1/2 r^2 theta

square root 2

1.4

square root 3

1.7

3 side polygon

triangle

4 side polygon

quadrilateral

5 side polygon

pentagon

6 side polygon

hexagon

7 side polygon

heptagon

8 side polygon

octagon

9 side polygon

nonagon

10 side polygon

decagon

polygon interior angle

A polygon diagonal

polygon exterior angle

polygon vertex

side

on the side of the shape

line segment

ray

parallel lines

equation of a parallel line

y = 2/3x +b

equation of a line perpendicular

y = -3/2x + b