Question

3.The coordinates of the vertices of quadrilateral ABCD are A(0,4), B(4,2), C(2,-1) and D(-2,1). Jorge states that quadrilateral ABCD is a parallelogram. Prove or disprove Jorge’s statement.

Answer 1

Jorge's statement is correct.

Explanation:

Quadrilateral ABCD is a parallelogram because it has two sets of parallel lines, as shown on the graph below. This makes Jorge's statement correct.

Answer 2

A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Plotting the points given above would give as a parallelogram where line made by AB is parallel and congruent with line CD. Hope this answers the question.