Chapter 6 - Polygons and Quadrilaterals - 6-5 Conditions for Rhombuses, Rectangles, and Squares - Lesson Check - Page 386: 5

a. Rhombuses, squares b. Rectangles, squares c. Rhombuses, squares d. Rhombuses, rectangles, squares e. Rhombuses, squares

a. Rhombuses are parallelograms where the diagonals are perpendicular. Squares are special rhombuses; therefore, squares also have diagonals that are perpendicular to one another. b. Rectangles are parallelograms in which the diagonals are congruent to one another; therefore, squares, which are special rectangles, also have diagonals that are congruent to one another. c. Rhombuses are parallelograms where the diagonals bisect opposite angles. Squares are special rhombuses; therefore, squares also have diagonals that bisect opposite angles. d. All parallelograms have diagonals that bisect one another; therefore, all the special parallelograms (rhombuses, rectangles, squares) have diagonals that bisect one another. e. Rhombuses have diagonals that are perpendicular bisectors of one another. Squares, which are special rhombuses, also have diagonals that are perpendicular bisectors of one another.