LEAP Formulas

Question 1

Pythagorean Theorem

Answer 1

c² = a² + b² - Right Triangle
c² > a² + b² - Obtuse Triangle
c² < a² + b² - Acute Triangle

Question 2

Point-Slope Formula

Answer 2

y-y1=m(x-x1)

Question 3

Slope Formula

Answer 3

(y2-y1) / (x2-x1)

Question 4

Equation on a Circle

Answer 4

(x-h)²+(y-k)²=r²
center = (h, k)

Question 5

Parallel lines

Answer 5

Slopes are equal
Example:
2x+y=3 y=-2x-1

Question 6

Arc Length (portion of circumference)

Answer 6

(measure of arc / 360) / 2πr

Question 7

Area of a regular polygon

Answer 7

A = (1/2)ap
a= apothem
p = perimeter

Question 8

Each interior angle of a regular polygon

Answer 8

[ (n-2) x 180] / n

Question 9

Distance formula

Answer 9

√(x2 - x1)² + (y2 - y1)²

Question 10

Midpoint formula

Answer 10

m = ( (x1+x2 / 2), (y1+y2 / 2) )

Question 11

Trig Funtions

Answer 11

S O/H C A/H T O/A

Question 11

Special Right Triangles

Answer 11

30, 60, 90: hyp = short x 2
long = short √3

45, 45, 90: hyp = leg √2

Question 12

Perpendicular lines

Answer 12

Slopes are opposite reciprocals
example:
y = 2/3x + 2 3x + 2y = 9

Question 13

Sector Area (portion of area)

Answer 13

(measure of arc)/360 x πr²

Question 14

Sum of measures of interior angles of a polygon

Answer 14

(n-2) x 180
n=number of sides in the polygon

Question 15

Each exterior angle of a regular polygon

Answer 15

360/n