6 1 Classifying Quadrilaterals SWBAT Classify quadrilaterals 1
6. 1 Classifying Quadrilaterals SWBAT: - Classify quadrilaterals
1. 6 Classifying Quadrilaterals n What is a Quadrilateral? A polygons with exactly four sides
Special Quadrilaterals n Quadrilaterals with specific characteristics. ¡ ¡ ¡ Parallelogram Rectangle Rhombus Square Trapezoid Kite
Parallelogram n Parallelogram: A Quadrilateral with both pairs of opposite sides parallel
Rhombus n Rhombus: A parallelogram with four congruent sides
Rectangle n Rectangle: A parallelogram with four right angles
Square n n Square: A parallelogram with four congruent sides and four right angles (it is a rhombus and a rectangle) A Square is a Regular Parallelogram
Kite n Kite: A quadrilateral with two pairs of consecutive congruent sides ¡ ¡ no opposite sides congruent no parallel sides
Trapezoid n Trapezoid: A quadrilateral with exactly one pair of parallel sides n Isosceles Trapezoid: Trapezoid with legs (nonparallel sides) congruent
Quadrilateral Family Tree
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.
Classifying Quadrilaterals n Judging by appearance, classify each quadrilateral in as many ways as possible: Square Rectangle Rhombus Parallelogram Quadrilateral
Classifying Quadrilaterals n Judging by appearance, classify each quadrilateral in as many ways as possible: Rhombus Parallelogram Quadrilateral Trapezoid Quadrilateral
Classifying Quadrilaterals n Judging by appearance, classify each quadrilateral in as many ways as possible: Rectangle Parallelogram Quadrilateral Kite Quadrilateral
Using Properties n Find the value of the variables for the kite: T x+6 2 y + 5 J K 3 x - 5 2 x + 4 B JB = KB 2 x + 4 = 3 x – 5 -x = -9 x=9 TK = 9 + 6 TK = 15 TJ => 2 y + 5 = 15 2 y = 10 y=5
Using Properties n Find the values of the variables for the rhombus: 3 b + 2 5 a + 4 3 b + 2 = 4 b -2 b=4 3 a + 8 4 b - 2 5 a + 4 = 3 a + 8 2 a = 4 a=2
Lesson Quiz Complete each statement. 1. A quadrilateral with four right angles is a _____. square or rectangle 2. A parallelogram with four right angles and four congruent sides is a _______. square 3. A figure with 4 sides and 4 angles is a ______. quadrilateral 4. Give the most descriptive name for this quadrilateral. trapezoid
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