1. 1.6 Classifying Quadrilaterals
Homework:
Lesson 1.6/1-13, 15-18
Quiz Friday on Lessons 1.5 – 1.7

2. 1.6 Classifying Quadrilaterals
What is a Quadrilateral?
A polygons with exactly four sides

3. Special Quadrilaterals
Quadrilaterals with specific characteristics.
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
Kite

4. Parallelogram
Parallelogram: A Quadrilateral with both pairs of opposite sides parallel

5. Rhombus
Rhombus: A parallelogram with four congruent sides

6. Rectangle
Rectangle: A parallelogram with four right angles

7. 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

8. Kite
Kite: A quadrilateral with two pairs of consecutive congruent sides
no opposite sides congruent
no parallel sides

9. Trapezoid
Trapezoid: A quadrilateral with exactly one pair of parallel sides
Isosceles Trapezoid: Trapezoid with legs (nonparallel sides) congruent

10. Quadrilateral Family Tree

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:
Square
Rectangle
Rhombus
Parallelogram
Quadrilateral
Parallelogram
Quadrilateral

14. Classifying Quadrilaterals
Judging by appearance, classify each quadrilateral in as many ways as possible:
Rhombus
Parallelogram
Quadrilateral
Trapezoid
Quadrilateral

15. Classifying Quadrilaterals
Judging by appearance, classify each quadrilateral in as many ways as possible:
Kite
Quadrilateral
Rectangle
Parallelogram
Quadrilateral

16. Using Properties Find the value of the variables for the kite: T
JB = KB
2x + 4 = 3x – 5
-x = -9
x = 9
x + 6
2y + 5 J K
TK = 9 + 6
TK = 15
3x - 5
2x + 4
TJ => 2y + 5 = 15
2y = 10
y = 5 B

17. Using Properties Find the values of the variables for the rhombus:
3b + 2 = 4b -2
b = 4
5a + 4
3a + 8
5a + 4 = 3a + 8
2a = 4
a = 2
4b - 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 rectangle
square
quadrilateral
trapezoid

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