Quadrilateral ABCD has vertices A (–6, 8), B (2, 2), C (–1, –2), and D (–9, 4). Using slope, distance, and/or midpoints, classify ABCD as a rectangle, rhombus square, trapezoid or isosceles trapezoid.

Question

Can you answer quickly pls?

Answer 1

Draw the points on graph paper.

The answer will be obvious...but you will need analytic proof.

Compute the slope of each of the sides and compare; remember the slopes of perpendicular lines are negative reciprocals.

That will tell you that the opposite sides are parallel, which makes it a parallelogram and the sides are perpendicular which makes it a rectangle.