1. Quadrilaterals
Bryce Hall
4 Wennersten

2. Parallelograms
Definition: a quadrilateral having both pairs of opposite sides parallel to each other.

3. Properties The opposite sides are parallel
The opposite sides are also congruent
The opposite angles are congruent
The diagonals bisect each other
Bisects

4. Formulas for Parallelograms
Perimeter = 2a + 2b
Area = b x h
The area is b x h because a parallelogram is basically just two right triangles and a rectangle, so the area = length x width and length x width = b x h :3

5. Properties we don’t Know
The adjacents sides are parallel, so their measure is 180°
x + y = 180°

6. Rhombus
Definition: an equilateral parallelogram, including the square as a special case.

7. Properties of Rhombuses
Have 4 equal/congruent/same sides
Their diagonals are perpendicular
Diagonals make right triangles
The diagonals bisect their angles

8. Formulas Perimeter = all four sides added together
x + x + x +x (x4) = perimeter
Area = length of 2 diagonals times ½
Area = ½ab

9. Properties of the Angles of a Rhombus (Stuff we don’t know yet)
Adjacent sides of Rhombus are supplementary (Add up to 180°)

10. Rectangles Definition: a parallelogram having four right angles.
gay rectangle

11. Properties of Rectangles
Four right angles (all 90°)
Diagonals are congruent
This picture is a rectangle!!!

12. Formulas of Rectangles
Perimeter is the two lengths and the two heights added together
l + l + w + w = perimeter
Area is the length times the width
l x w = height

13. Special Quadrilaterals!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

14. Trapezoids
Definition: a quadrilateral plane figure having two parallel and two nonparallel sides

15. Properties of Trapezoids
Only have one set of parallel sides
The midsegment is the average of the base lengths
The midsegment is parallel to the bases
The angles on either side of the base are parallel
The diagonals are congruent
The adjacent angles are parallel (Add up to 180°)
b = base, a = leg

16. Formulas of Trapezoids
Perimeter is the length of every side
leg1 + leg2 + base1 + base2 = perimeter
Area is the ½ of the height times both of the bases added together
Area = ½ h (b + b)

17. Why we use the formula ½ h (b + b) for area of a Trapezoid
The formula is based on two identical trapezoids side by side, so they’re a parallelogram!!!!
We have to use the formula for parallelograms ( base x height)
Since the are of this figurative parallelogram is two of the trapezoids, we find ½ of it!!!!!!!!

18. Kites
There’s no definition, but it looks like a kite!
Gay kite!

19. Properties of a Kite Two pairs of congruent sides
Two of the sides aren’t congruent
The diagonals are perpendicular
One pair of the opposite angles are congruent
The intersection of the diagonals make right triangles (Because they’re perpendicular)
The long diagonal bisects the short one

20. Formulas for Kites The perimeter is all of the sides added
a + a + b + b = perimeter
Add the two diagonals and divide by 2 or multiply by ½
area = ½ ab

21. (Isosceles trapezoids have the same formulas as normal trapezoids!)
There’s no definition, but an isosceles trapezoid has one pair of equal sides!!!!!!!
(Isosceles trapezoids have the same formulas as normal trapezoids!)

22. Properties of Isosceles Trapezoids
Pairs of the base angles are congruent
Diagonals are congruent
The angles on either side of the bases are the same size