Question

Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. Then find the area of the quadrilateral. A(2, -3), B(7, -3), C(9, 2), D(4, 2)

Answer 1

Answer: Parallelogram,  Area = 25 units²  

Step-by-step explanation:    

Step 1: Find the lengths of all of the sides (use Pythagorean Theorem, distance formula, or count the spaces on the graph)

Step 2: Find the slopes of each line

Step 3: Evaluate the slopes to see if any are parallel (same slope) or perpendicular (opposite reciprocal slopes)  

see attachment