Draw figures that satisfy the given description.

(a) A nonsimple closed four-sided polygonal curve

(b) A concave pentagon

(c) An equiangular quadrilateral

(d) A convex octagon

Omar has made the following statements about rectangles, squares, rhombuses, and trapezoids:

Rectangles are always squares.

Rhombuses are never squares.

Trapezoids are sometimes squares.

(a) What incorrect statements did Omar make about squares?

(b) How would you explain to Omar the relationships among rectangles, squares, rhombuses, and trapezoids?

Fill in the missing vertices to give the type of triangle required, choosing vertices from A , B , C , D , E , F , G , and H . There may be more than one way to answer. Use a ruler and protractor to measure lengths and angles.

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