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Properties of rectangles, rhombuses and squares. Properties of parallelograms. 1. If a quad is a parallelogram, then its opposite angles are congruent 2. if a quad is a parallelogram, then its consecutive angles are supplementary
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Properties of parallelograms • 1. If a quad is a parallelogram, then its opposite angles are congruent • 2. if a quad is a parallelogram, then its consecutive angles are supplementary • 3. If a quad is a parallelogram, then its opposite sides are congruent • 4. If a quad is a parallelogram, then its diagonals bisect each other
Properties of a rectangle: congruent diagonals • The diagonals of a rectangle are congruent
Properties of a rhombus: Perpendicular diagonals • The diagonals of a rhombus are perpendicular
Since a square is both a rhombus and a rectangle, its diagonals are both congruent and perpendicular
Properties of a rhombus: Diagonals as angle bisectors • Each diagonal of a rhombus bisects opposite angles. Because opposite angles of a rhombus are equal, when they are bisected by a diagonal, 4 congruent angles result
review • 1. In rectangle MNOP, MO = 5.4 in.. What is the length of NP? • 2. Quad RSTU has a center point, V. If RT is congruent to SU and RT is perp. To SU, classify the quad. • 3.WXYZ is a rhombus. • Find m<OXY • Find m<OYZ W X 6x-12 O 4x+2 Z Y