9.5-9.8

Question 1

Coordinate Proofs

Answer 1

A method of proving using (x,y) coordinates to prove a theorem for all 2D cases or(x,y,z) for all 3D cases

Question 2

Right triangle coordinates

Answer 2

(0,0) (0,b) (a,0)

Question 3

Rectangle coordinates

Answer 3

(0,0) (0,2b) (2a,0) (2a,2b)

Question 4

Equilateral triangle coordinates

Answer 4

(0,0) (a,b) (2a,0)

Question 5

Parellelogram coordinates

Answer 5

(0,0) (a,0) (a+b,c) (b,c)

Question 6

Pythagorean triple

Answer 6

Any three whole numbers that satisfy the equation a^2+b^2=c^2

common examples:

(3,4,5) (5,12,13) (7,24,25) (8,15,17)

Question 7

Distance formula in 3-D

Answer 7

D=√L^2+H^2+W^2

Question 8

30-60-90 triangles

Answer 8

Side lengths

x-shortest
2x-hypotenuse
x√3-medium

Question 9

45-45-90 triangles

Answer 9

Side lengths

x-congruent sides
x√2-hypotenuse

Question 10

Distance formula 2-D

Answer 10

D= √(x2-x1)^2+(y2-y1)^2