Geometry/Trig Name __________________________ WARM UP Date ___________________________ Determine if the following statements are true or false. _________ 1) Every square is a rhombus. _________ 2) Every rhombus is a parallelogram. _________ 3) The opposite sides of any rhombus are parallel and congruent. _________ 4) The opposite angles of any rhombus are congruent. _________ 5) The consecutive angles of any rhombus are supplementary. _________ 6) Every rhombus is a square. _________ 7) Every parallelogram is a rhombus.. _________ 8) The diagonals of a rectangle must be congruent. _________ 9) The diagonals of a rectangle must bisect each other. _________ 10) The diagonals of a rectangle must be perpendicular. _________ 11) The diagonals of a square must bisect each other. _________ 12) The diagonals of a square must be congruent. _________ 13) If the diagonals of a parallelogram are congruent, then it must be a square. _________ 14) The diagonals of a square must be perpendicular. _________ 15) The diagonals of a square bisect the opposite angles. Circle the quadrilaterals that have each property. All angles are congruent. The diagonals are congruent. The diagonals are perpendicular. The diagonals bisect each other. The diagonals are perpendicular bisectors of each other. Consecutive angles are supplementary. Each diagonal bisects opposite angles. Parallelogram Rectangle Rhombus Square Parallelogram Rectangle Rhombus Square Parallelogram Rectangle Rhombus Square Parallelogram Rectangle Rhombus Square Parallelogram Rectangle Rhombus Square Parallelogram Rectangle Rhombus Square Parallelogram Rectangle Rhombus Square 1) Rhombus [mB = 54°] A B m1 = _____ m2 = _____ m3 = _____ m4 = _____ 3 4 1 2 D C

2) Rectangle [ED = 5x – 15]. AE = ____ BE = ____ EC = ____ ED = ____ AC = ____ BD = ____ A B 3x – 1 E D C 3) Rhombus [BD = 10 and AC = 20]. x = _____ BE = _____ EC = _____ A B E x C D 4) Square 19a+5 x° y° z° x = _____ y = _____ z = _____ a = _____ b = _____ c = _____ 3b+9 24 4c - 6