Vectors
On Assignment 4 number 2 we first used a graph to solve the problem, but we learned later that an easier and faster way to find the solution is to use parametric equations. To use parametric equations you need to find the x-intercept and the y-intercept and use those two points for T=0 and T=1. You can then find the pattern between the two points and continue the pattern. Then you make equations for X and one for Y. You use the point from one of the sides, either X for the X equation or Y for the Y equation and you use the pattern that you found to make an equation. You can then substitute any time for T to find the (X,Y) coordinates for any time.
Rotation and Reflection
In a line of reflection the shape is an exact copy of the initial shape, just everything is the opposite. You can find the line of reflection by drawing a line between the initial point and the prime point and finding the exact middle. Once you find two of these you connect the middle points and you draw a line. This is the line of reflection. The angle of rotation is found by first finding the mid point of two lines connecting a prime point and an initial point. After this you draw a parallel line to both of the lines that you found at their mid point. Where these two lines intersect is the point of rotation. After that you draw a straight line to one initial point and the same prime point and then you measure the angle with a protractor.