Formulas to remember

Question 1

Midpoint equation

Answer 1

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

Question 2

Distance equation

Answer 2

Root (x2-x1)^2 + (y2-y1)^2

Question 3

Here are 3 vertices (-2,5) (3,0) (-3,-2)
Show it is isosceles and name the equal sides
Find the midpoint of the third side
Find the area

Answer 3

Use Pythagoras to find the lengths of each side
(this shows the isosceles lengths)

Use the midpoint equation to find midpoint of last side

Connect A to Midpoint, find the length using equation
Area = 1/2 AM x Base

Question 4

Gradient equation

Answer 4

(y2-y1) / (x2-x1)

Question 5

Is it a parallelogram?

Answer 5

Find the gradient of 2 opposing lines, if they have the same gradient they are parallel and therefore a parallelogram

Question 6

Perpendicular gradient?

Answer 6

Negative reciprocal

4/3 becomes -3/4

Question 7

How to show a shape is rectangular?

Find its area

Answer 7

Show 2 of the lines are perpendicular (times to give -1)

Find the distance of 2 perpendicular lines, times them

Question 8

What’s the equation of a line?

Answer 8

y=mx+c

M= gradient
C= Y intercept