Squares Trapezoids 2 of congruent All properties of the Has only 1 pair of parallel sides consecutive sides (unequal) parallelogram, the rectangle (base 1 & base 2) The diagonals are and the rhombus Non-parallel sides are called legs perpendicular Rectangles Parallelograms Rhombus All properties of Opposite are congruent All the properties of parallelogram parallelogram Opposite sides are parallel Four congruent sides Four right angles Opposite angles are congruent Consecutive are congruent Diagonals are congruent & Consecutive angles are Diagonals bisect opposite angles bisect each supplementary Diagonals perpendicular & bisect Consecutive sides are The diagonals bisect each each other perpendicular other Example 1. m<DCA = 27˚ m<CAD = 38˚ m<ABD = 63˚ Find each measure. Solve for x and y. Proving a Quadrilateral is a parallelogram A quadrilateral is a parallelogram if:
2 of congruent consecutive sides (unequal) The diagonals are perpendicular Squares All properties of the parallelogram, the rectangle and the rhombus Trapezoids Has only 1 pair of parallel sides (base 1 & base 2) Non-parallel sides are called legs Rectangles All properties of parallelogram Four right angles Diagonals are congruent & bisect each Consecutive sides are perpendicular Parallelograms Opposite are congruent Opposite sides are parallel Opposite angles are congruent Consecutive angles are supplementary The diagonals bisect each other Rhombus All the properties of parallelogram Four congruent sides Consecutive are congruent Diagonals bisect opposite angles Diagonals perpendicular & bisect each other Example 1. m<DCA = 27˚ m<CAD = 38˚ m<ABD = 63˚ Find each measure. Solve for x and y. Proving a Quadrilateral is a parallelogram A quadrilateral is a parallelogram if:
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