11 Special Quadrilaterals A parallelogram is a quadrilateral with both pairs of opposite sides parallel.A rhombus is a parallelogram with four congruent sides.A rectangle is a parallelogram with four right angles.A square is a parallelogram with four congruent sides and right angles.A kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.A trapezoid is a quadrilateral with exactly one pair of parallel sides. The isosceles trapezoid at the right is a trapezoid whose nonparallel sides (legs) are congruent.
13 Classifying Quadrilaterals Judging by appearance, classify each quadrilateral in as many ways as possible:SquareRectangleRhombusParallelogramQuadrilateralParallelogramQuadrilateral
14 Classifying Quadrilaterals Judging by appearance, classify each quadrilateral in as many ways as possible:RhombusParallelogramQuadrilateralTrapezoidQuadrilateral
15 Classifying Quadrilaterals Judging by appearance, classify each quadrilateral in as many ways as possible:KiteQuadrilateralRectangleParallelogramQuadrilateral
16 Using Properties Find the value of the variables for the kite: T JB = KB2x + 4 = 3x – 5-x = -9x = 9x + 62y + 5JKTK = 9 + 6TK = 153x - 52x + 4TJ => 2y + 5 = 152y = 10y = 5B
17 Using Properties Find the values of the variables for the rhombus: 3b + 2 = 4b -2b = 45a + 43a + 85a + 4 = 3a + 82a = 4a = 24b - 2
18 Lesson Quiz Complete each statement. 1. A quadrilateral with four right angles is a _________.2. A parallelogram with four right angles and four congruent sides is a _______.3. A figure with 4 sides and 4 angles is a ______.4. Give the most descriptive name for this quadrilateral.square or rectanglesquarequadrilateraltrapezoid