The midpoints M, N, P, Q of the sides of a quadrilateral ABCD have been connected and an interior quadrilateral is obtained. It is shown that MNPQ is a parallelogram. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is each of the quadrilaterals below? Complete parts (a) through (d). MA A a. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is a rhombus? The parallelogram MNPQ is a b. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is a kite? The parallelogram MNPQ is a c. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is an isosceles trapezoid? The parallelogram MNPQ is a the kind of parallelogram MNPQ is if ABCD is a quadrilateral that is neither a rhombus nor a kite but

Quadrilateral GEOM is shown. M -4

1) Prove that the polygon with coordinates A (4, -1), B (5, 6), and C (1, 3) is an isosceles right triangle. a. Graph the figure b. Calculate the distances of all three sides showing ALL algebra steps and work c. Use the slope formula to prove that the two legs are perpendicular. Show ALL algebra steps and work. d. Using complete sentences, explain your findings to prove or disprove the problem. Findings:

Graph each quadrilateral ABCD. Then determine the most precise name for it.