This document defines and provides properties of different types of quadrilaterals including kites, trapezoids, parallelograms, rectangles, rhombuses, and squares. It includes questions to test if shapes are quadrilaterals, parallelograms, rectangles, rhombuses, or trapezoids based on their properties. Finally, it provides answers to the questions and completes a Venn diagram showing the relationships between the different quadrilateral types.

1. Properties of
Quadrilaterals

2. Quadrilateral Family

3. Quadrilateral
A quadrilateral is a polygon
with four sides.
Watch the video about properties of
special quadrilaterals at
https://www.khanacademy.org/math/ge
ometry/quadrilaterals-and-polygons/
quadrilaterals/v/quadrilateral-properties

4. Kite
A quadrilateral with two pairs of
congruent adjacent sides.
The angles between the
noncongruent sides are congruent.
The diagonals are perpendicular.

5. Trapezoid
A quadrilateral with exactly one pair of
parallel sides.

6. Isosceles Trapezoid
A trapezoid with congruent
nonparallel sides.
The base angles are congruent.
The diagonals are congruent.

7. Parallelogram
A quadrilateral with two pairs of
parallel sides.
The opposite sides are congruent.
The opposite angles are congruent.
The consecutive angles are
supplementary.
The diagonals bisect each other.

8. Rectangle
A parallelogram with four right
angles.
The diagonals are congruent.

9. Rhombus
A parallelogram with all sides
congruent.
The diagonals are perpendicular.

10. Square
A parallelogram with four equal sides and
four right angles.

11. Is it a quadrilateral? Why or why not?
 A. Square
 B. Kite
 C. Isosceles Trapezoid
 D. Rectangle
 E. Trapezoid
 F. Rhombus
 G. Parallelogram

12. Is it a parallelogram? Why or why
not?
 A. Square
 B. Kite
 C. Isosceles Trapezoid
 D. Rectangle
 E. Trapezoid
 F. Rhombus
 G. Parallelogram

13. Is it a rectangle? Why or why not?
 A. Square
 B. Kite
 C. Isosceles Trapezoid
 D. Rectangle
 E. Trapezoid
 F. Rhombus
 G. Parallelogram

14. Is it a rhombus? Why or why not?
 A. Square
 B. Kite
 C. Isosceles Trapezoid
 D. Rectangle
 E. Trapezoid
 F. Rhombus
 G. Parallelogram

15. Is it a trapezoid? Why or why not?
 A. Square
 B. Kite
 C. Isosceles Trapezoid
 D. Rectangle
 E. Trapezoid
 F. Rhombus
 G. Parallelogram

16. Complete the Venn Diagram
A. Square
B. Kite
C. Isosceles
Trapezoid
D. Rectangle
E. Trapezoid
F. Rhombus
G. Parallelogram

17. Answers to Questions
 Slide 11 Quadrilaterals- All of them A-G
 Slide 12 Parallelograms- A,D,F,G
 Slide 13 Rectangles- A,D
 Slide 14 Rhombi – A, F
 Slide 15 Trapezoid- C,E

18. Venn Diagram Answers
 Quadrilateral- White
 Kite- Pink
 Trapezoid- Red
 Isosceles Trapezoid- Black
 Parallelogram- Green
 Rectangle- Gray
 Rhombus- Pink
 Square- Yellow

19. Resources
Images on slides 2,3, and 4 from mathisfun.com
Video on slide 3 from Khan Academy
Images on slides 5 and 6 from Wikipedia
Images on slide 7 from Wikipedia and mathisfun.com
Images on slide 8 from Wikipedia and mathisfun.com
Images on slide 9 and 10 from mathisfun.com