Geometry

Question 1

Create a diagram showing the pronumerals in the dividing ratios internally equation.

Answer 1

m n
O—————–O—————–O
(x1, y1) (x, y) (x2, y2)

Question 2

What is the equation of the ratio of three points divided externally?

Answer 2

-mx2 + nx1 -my2 + ny1
(x, y) = (——————- , ——————–)
-m + n -m + n

In the ratio m:n where m is within n

Question 3

Create a diagram showing the pronumerals in the dividing ratios externally equation.

Answer 3

___________n_________
| m |
O—————–O—————–O
(x, y) (x1, y1) (x2, y2)

Question 4

What is the equation of the ratio of three points divided internally?

Answer 4

mx2 + nx1 my2 + ny1
(x, y) = (——————- , ——————–)
m + n m + n

In the ratio m:n

Question 5

What is the equation used to find the angle between two lines?

Answer 5

m1 - m2
tan@ = ————-
1 + m1m2

Only finds the acute angle.
If the denominator is 0, they are perpendicular.

Question 6

What is the equation used to find the angle between two lines when one of the lines is vertical?

Answer 6

1
tan@ = ——
m

Question 7

What is the equation used to find the angle between two lines when one of the lines is horizontal?

Answer 7

tan@ = m