Question

A(1,-2), B(7,2), C(5,8) and D(-1,4) are the vertices of the parallelogram taken in order. prove that the line joining the mid-point of the sides of the parallelogram ABCD forms another parallelogram.

Answer 1

Answer: You would use the distance formula.

Step-by-step explanation:

1. d=√(x2-x1)^2 +(y2-y1)^2)

2. Get the vertices of A and B and use the formula.

3. Repeat for for C and D

4. To prove, you would basically make a statements and reasons chart and see what is given and what property is used.

  I hope this helped :)