Geometry

Question 1

Pythagorean Triplets

Answer 1

{3, 4, 5}
{5, 12, 13}
{8, 15, 17}
{7, 24, 25}

Question 2

Hypotenuse of an Isosceles (45°-45°-90°) Right Triangle

Answer 2

Hypotenuse = √2*(leg)

Question 3

30°-60°-90° triangle hypotenuse?

Answer 3

hypotenuse = 2 * (short leg)

Question 4

30°-60°-90° triangle long leg?

Answer 4

long leg = √3 * (short leg)

Question 5

Area of equilateral triangle?

Answer 5

Area of equilateral triangle = (S^2√3)/4

Question 6

Parallelogram properties?

Answer 6

1) parallel opposite sides
2) equal opposite sides
3) equal opposite angles
4) diagonals bisect each other

Question 7

Rhombus properties?

Answer 7

1) the big four of parallelogram properties
2) all four sides are equal
3) Diagonals are perpendicular

Question 8

Rectangle properties?

Answer 8

1) the big four of parallelogram properties
2) four angles equal to 90
3) Diagonals are congruent

Question 9

Sum of angles in an n-sided polygon

Answer 9

(n - 2) * 180°

Question 10

relationship btw diameter d and radii r

Answer 10

diameter d = 2r (radii)

Question 11

circumference of a circle?

Answer 11

c = πd or c = 2πr

Question 12

Area of a circle?

Answer 12

A = πr^2

Question 13

area of sector proportion

Answer 13

area of sector/area of circle = angle/360

Question 13

Arclength proportion

Answer 13

arclength/circumference = angle/360