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1.6 Classifying Quadrilaterals
Homework:
Lesson 1.6/1-13, 15-18
Quiz Friday on Lessons 1.5 – 1.7
1.6 Classifying Quadrilaterals
What is a Quadrilateral?
A polygons with exactly four sides
Special Quadrilaterals
Quadrilaterals with specific characteristics. Parallelogram Rectangle Rhombus Square Trapezoid Kite
Parallelogram
Parallelogram: A Quadrilateral with both pairs of opposite sides parallel
Rhombus
Rhombus: A parallelogram with four congruent sides
Rectangle Rectangle: A parallelogram with four
right angles
Square 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 Kite: A quadrilateral with two pairs of
consecutive congruent sides no opposite sides congruent no parallel sides
Trapezoid Trapezoid: A quadrilateral with exactly
one pair of parallel sides
Isosceles Trapezoid: Trapezoid with legs (nonparallel sides) congruent
Quadrilateral Family Tree
Special QuadrilateralsA 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
Judging by appearance, classify each quadrilateral in as many ways as possible:
SquareRectangleRhombus
ParallelogramQuadrilateral
ParallelogramQuadrilateral
Classifying Quadrilaterals
Judging by appearance, classify each quadrilateral in as many ways as possible:
RhombusParallelogramQuadrilateral
TrapezoidQuadrilateral
Classifying Quadrilaterals
Judging by appearance, classify each quadrilateral in as many ways as possible:
RectangleParallelogramQuadrilateral
KiteQuadrilateral
Using Properties
Find the value of the variables for the kite:
x + 6
3x - 52x + 4
2y + 5
T
K
B
J
JB = KB2x + 4 = 3x – 5
-x = -9x = 9
TK = 9 + 6TK = 15
TJ => 2y + 5 = 15 2y = 10 y = 5
Using Properties
Find the values of the variables for the rhombus:
3b + 2
3a + 8
4b - 2
5a + 4
3b + 2 = 4b -2b = 4
5a + 4 = 3a + 82a = 4a = 2
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.
Lesson Quiz
square
square or rectangle
quadrilateral
trapezoid
1
2
3
4