Properties of rectangles, rhombuses and squares

Properties of rectangles, rhombuses and squares

Properties of parallelogramsProperties of parallelograms

1. If a quad is a parallelogram, then its opposite angles are congruent2. if a quad is a parallelogram, then its consecutive angles are supplementary3. If a quad is a parallelogram, then its opposite sides are congruent4. If a quad is a parallelogram, then its diagonals bisect each other

Properties of a rectangle: congruent diagonalsProperties of a rectangle: congruent diagonals

The diagonals of a rectangle are congruent

Properties of a rhombus: Perpendicular diagonalsProperties 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

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

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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<OXYFind m<OYZ

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