Properties of rectangles, rhombuses and squares

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Properties of rectangles, rhombuses and squares
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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

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Properties of a rectangle congruent diagonals

• The diagonals of a rectangle are congruent

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Properties of a rhombus Perpendicular diagonals

• The diagonals of a rhombus are perpendicular

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• Since a square is both a rhombus and a rectangle,
  its diagonals are both congruent and perpendicular

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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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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 mltOXY
• Find mltOYZ

W
X
6x-12
O
4x2
Z
Y