Question

Please help I don’t understand The lesson is called coordinates that make the rectangle parallelogram.

Answer 1

We are given the points;

`A(4,-7),B(1,1),C(-5,-4)`

We need the coordinates of D such that A, B, C, and D would form a parallelogram.

A key idea is that in a parallelogram, the distance between coordinates that make up the parallels are equal.

Here is a graph of the points;

Now, we can find D;

`\begin{gathered} (1--5,1--4)+(4,-7) \\ (6,5)+(4,-7) \\ (10,-2) \end{gathered}`

Therefore, the coordinates of D are;

`D(10,-2)`

Attached below is the graph containing point D;