Straight Line

Question 1

How to find a midpoint?

Answer 1

(X1 + X2) over 2, (Y1 + Y2) over 2

Question 2

What is the rule for perpendicular lines?

Answer 2

For perpendicular lines:
M1 x M2 = -1

Question 3

How are trigonometry and gradient connected?

Answer 3

M=tan x theta

Must use cast diagram. Must always be in the positive direction of the x-axis.

Question 4

What must you prove lines are to prove they are collinear?

Answer 4

1. Mab and Mbc must be equal to prove they are parallel.
2. They must share a common point (b)

Question 5

How to find the perpendicular bisector from the points AB?

Answer 5

1. Find the midpoint of the AB.
2. Find the gradient of the AB.
3. Find the perpendicular gradient (M1 x M2 = -1)
4. Find the equation of the line using the midpoint and the perpendicular gradient)

Question 6

How to find the equation of a median in a triangle ABC to find the median through B?

Answer 6

1. Find the midpoint of AC
2. Find the Gradient of BM (midpoint)
3. Find the equation of the line.

Question 7

How to find Altitude of the triangle ABC from B?

Answer 7

1. Find the gradient of AC
2. Find the perpendicular gradient.
3. Find the equation of the line using the perpendicular gradient and point B.