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In geometry, we define quadrilaterals based on their individual properties. It's these properties that help us distinguish one quadrilateral from another. Quadrilaterals such as squares, rectangles, and rhombuses can be classified as parallelograms because they all have the following properties: Property 1: opposite sides of the parallelogram are congruent • Property 2: opposite sides of a parallelogram are parallel • Property 3: the diagonal of a parallelogram divides the parallelogram into two congruent triangles • Property 4: diagonals of the parallelogram bisect each other 1. Find the midpoints of each side and connect them to form another quadrilateral. Label the midpoints A, B, C, and D, respectively. (Show all calculations) 0 -10 5 10 15 20 1b. Show and prove mathematically that quadrilateral ABCD is a parallelogram. You must justify your calculations using complete sentences.

Fig: 1