15/5/15 We have used the midpoint formula, the distance formula and the formula for finding the gradient or slope of a line. Follow the links if you wish to see how to do these on youtube.
Here are notes on the main parts of the topic
(rule from http://mathsfirst.massey.ac.nz/Algebra/PythagorasTheorem/pythapp.htm)
Click here to got to a youtube video on how to use the--> DISTANCE FORMULA <--
We then looked at properties of triangles and quadrilaterals in order to complete some problems in context:
Click here to got to a youtube video on how to use the--> DISTANCE FORMULA <--
We then looked at properties of triangles and quadrilaterals in order to complete some problems in context:
Our second rule was the midpoint formula:
Click on the link to see a youtube video on this
THE MIDPOINT FORMULA
THE MIDPOINT FORMULA
We then looked at an example of working backwards to find an endpoint of a line segment when you know the midpoint and the other end:
You can use algebra or the solver on the graphics calculator to find the missing x and y values. Menu--> Equa--> Solver.
Type in the equation as you have written it, using shift-Point to get the = sign and the [X,theta,T] button to enter the X value. remember that the first x vaue shown when you enter the equation is the LAST x value the calculator found. You need to press EXE and 2nd time or SOLV to get your real answer.
Do the same to find your y value - you can use [Alpha]-[-] to enter the letter y.
Type in the equation as you have written it, using shift-Point to get the = sign and the [X,theta,T] button to enter the X value. remember that the first x vaue shown when you enter the equation is the LAST x value the calculator found. You need to press EXE and 2nd time or SOLV to get your real answer.
Do the same to find your y value - you can use [Alpha]-[-] to enter the letter y.
We found that point N had the coordinates (-5,14).
...collinear. (and the other bit you can't read is - they (collinear points) lie on the same line.