1. QUADRILATERALS

2. QUADRILATERALS Parallelograms Rectangles Rhombi Squares Trapezoids
Kites

3. Definition: Opposite Sides are parallel.
Parallelograms
Definition: Opposite Sides are parallel. A D B C

4. Opposite sides are congruent.
Parallelograms
Opposite sides are congruent. A D B C

5. Opposite angles are congruent.
Parallelograms
Opposite angles are congruent. A D B C

6. Diagonals bisect each other.
Parallelograms
Diagonals bisect each other. A D B C M

7. Parallelograms
Consecutive Angles are supplementary. A D B C

8. Parallelograms A D B C M

9. Special Parallelograms
RECTANGLES A D B C
Definition:
Quadrilateral with
Four right angles. M
Diagonals are congruent.

10. Special Parallelograms
RECTANGLES A D B C
Since the diagonals of a rectangle are congruent, AC=BD M

11. Special Parallelograms
RHOMBUSES A D B C
Definition:
Quadrilateral with
Four congruent sides. 2 3 1 4 M 5 8 6 7
Diagonals bisect
opposite angles.
Diagonals are
perpendicular.

12. Special Parallelograms
RHOMBUSES A D B C
20 in
Find the following: mBCM AC
m AMD AD
m DCB BD
12 in
= 67
23
= 24 in M
= 90
= 20 in
𝑨𝑴 𝟐 + 𝑩𝑴 𝟐 = 𝑨𝑩 𝟐
𝟏𝟐 𝟐 + 𝑩𝑴 𝟐 = 𝟐𝟎 𝟐
= 134
𝟏𝟒𝟒+ 𝑩𝑴 𝟐 =𝟒𝟎𝟎
= 32 in
𝑩𝑴 𝟐 =𝟐𝟓𝟔
𝑩𝑴 =𝟏𝟔

13. Definition: It’s a Rectangle Rhombus
Special Parallelograms
SQUARES A D B C
Definition: It’s a
Rectangle Rhombus
Rectangle
& a Rhombus M
SQUARES have ALL the properties of
parallelograms, rectangles & rhombuses.

14. Quadrilateral with exactly one pair of parallel sides.
Trapezoids
Definition:
Quadrilateral with exactly one pair of parallel sides. B A D C
Bases are
parallel.
A & D are supp. and
 B & C are supp.

15. Segment that joins the midpoints of the legs of a trapezoid.
Trapezoids A D B C
Midsegment:
Segment that joins the midpoints of the legs of a trapezoid. X Y
XY is the midsegment.
Midsegment is ll to bases and
½ measure of the sum of bases.

16. Trapezoid that has congruent legs.
Isosceles Trapezoids A D B C
Definition:
Trapezoid that has congruent legs.
Each pair of Base angles are congruent.
Legs are
congruent.
A  B and  D  C.
Diagonals are congruent:

17. Quadrilateral that has opposite sides congruent.
Kites B C D A
Definition:
Quadrilateral that has
Two pair of congruent
Adjacent sides and no
opposite sides congruent.
Diagonals
are .
One pair of opposite
Angles are congruent.

18. Pythagorean Theorem is often used to find measures.
Kites B C D A
One diagonal
bisects
the other.
Pythagorean Theorem is often used to find measures.