Classifying QuadrilateralsUnit 9 – M1F

Warm – Up!! Good Morning!! As you walk in, please pick up your calculator and begin working on your warm-up!

1. Put the following equation in slope intercept equation: 4y + 12x = 36

2. Given the following equations, are the lines parallel, perpendicular, or neither? y = 5x + 7 and 6y – 30x = 15

3. Given the equation, y = -3/2x + 17, what is the corresponding perpendicular equation?

Classifying Quadrilaterals

What is a quadrilateral? A polygon that has exactly 4 sides

We can classify quadrilaterals by sides and angles

Important Vocabulary1. Congruent: lengths are equal2. adjacent: beside each other3. opposite: across from each other4. supplementary: add to be 1805. equilateral: all sides are the same length6. equiangular: all angles have the same

measure

Kite

Definition: A quadrilateral with 2 distinct pairs of adjacent congruent sides

Shape:

Side Properties: Two pairs of Congruent Sides 

Angle Properties: non – vertex angles are congruent

Trapezoid

Definition: A quadrilateral with exactly one pair of parallel sides. 

Shape:

Side Properties: The two parallel sides are called bases.  

Angle Properties: Consecutive angles between the bases are supplementary.

Isosceles Trapezoid

Definition: A trapezoid with two congruent legs  

Shape:

Side Properties: Non - parallel sides are congruent  

Angle Properties: Both sets of base angles are congruent

Parallelogram

Definition: A quadrilateral with two sets of parallel sides  

Shape:

Side Properties: Opposite sides are congruent  

Angle Properties: Opposite angles are congruentAdjacent angles are supplementary 

Rhombus

Definition: An equilateral parallelogram 

Shape:

Side Properties: All sides congruent  

Angle Properties: Opposite angles are congruent, adjacent angles supplementary

Rectangle

Definition: An equiangular parallelogram 

Shape:

Side Properties: opposite sides are congruent  

Angle Properties: All angles are congruent (90°)

Square

Definition: An equilateral, equiangular parallelogram 

Shape:

Side Properties: All sides are congruent 

Angle Properties: All angles are congruent

Now lets fill in the following flow chart! Drag them to the correct spots!

Trapezoid Parallelogram

Isosceles Trapezoid

Square

Rectangle Rhombus

KiteQuadrilateral

Now Begin Your Practice!!Name the shape as specifically as possible.

Name all the possible quadrilaterals described by the statements.1. has four right angles2. has four sides3. has only one pair of congruent sides4. has two pairs of congruent sides5. has all adjacent sides perpendicular6. has two pairs of parallel sides7. has all four sides congruent8. has no parallel sides9. has exactly one pair of parallel sidesDetermine whether the following statements are true or false.10. A square is always a rectangle.11. An isosceles trapezoid is always a quadrilateral.12. A rectangle is always a trapezoid.13. A rectangle can never be a rhombus.14. A kite is a rhombus.15. A rhombus is always a parallelogram.