The document discusses the properties and classifications of quadrilaterals, including shapes like squares, rectangles, trapezoids, rhombuses, and parallelograms. It explains the characteristics that define these shapes and includes questions and activities to engage learners in recognizing and categorizing quadrilaterals. The content aligns with Common Core State Standards for mathematics, focusing on understanding and classifying two-dimensional figures.

1. WHAT CAN YOU OBSERVE?

2. WHAT DO THESE PICTURES
HAVE IN COMMON.

3. PROPERTIES OF
QUADRILATERALS
CCSS MATH CONTENT 4.G.A.2
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence
or absence of angles of a specified size.
CCSS MATH CONTENT 3.G.A.1
Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having
four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses,
rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of
these subcategories.
CCSS MATH CONTENT 5.G.B.4
Classify two-dimensional figures in a hierarchy based on properties.

4. •What is a
Quadrilateral?

5. WHAT IS A QUADRILATERAL?
A quadrilateral is a two-
dimensional figure with
four sides and four angles.
The word part “quad” means 4
and “lateral” means sides.

6. WHAT IS A QUADRILATERAL?
• Look around you. Do you see shapes in this room
that could be called quadrilaterals?

7. QUADRILATERALS IN THE REAL WORLD

8. QUADRILATERALS IN THE REAL WORLD

10. TYPES OF QUADRILATERALS
• Square
• Rectangle
• Trapezoid
• Rhombus
• Paralellogram

11. A SQUARE
• A square is a
quadrilateral with 4
equal sides and 4
right angles.

12. A RECTANGLE
• A rectangle is a
quadrilateral with 4
right angles. Its
opposite sides are
equal and parallel.

13. IS A SQUARE A RECTANGLE?
REMEMBER:
•A rectangle is a quadrilateral
with 4 right angles. Its
opposite sides are equal and
parallel.
•A square is a quadrilateral
with 4 equal sides and 4 right
angles.
Explain your thinking.
Rectangle?

14. IS A RECTANGLE A SQUARE?
REMEMBER:
•A rectangle is a quadrilateral
with 4 right angles. Its
opposite sides are equal and
parallel.
•A square is a quadrilateral
with 4 equal sides and 4 right
angles.
Square?
Explain your thinking.

15. DETERMINATION…..
• A square can also be called a rectangle
because it has four right angles and its
opposite sides are equal and parallel.
A rectangle is NOT a square because it does
not have equal sides.

16. A TRAPEZOID
• A trapezoid is a
quadrilateral that
has exactly 1 pair of
parallel sides.
◦ Remember, parallel lines
are lines that will never
touch. They are equal
distance apart at all
points.

17. IS THIS A TRAPEZOID?

18. IS THIS A TRAPEZOID?
◦ Yes, it has one set of parallel sides.

19. A RHOMBUS
• A rhombus is a
quadrilateral that has
4 equal sides. Its
opposite sides are
parallel.

20. A PARALLELOGRAM
• A parallelogram is a quadrilateral that has
opposite sides that are equal and parallel.
• Which of the quadrilaterals we have seen are
parallelograms?

21. IS IT A PARALLELOGRAM?
A Square
Remember: A parallelogram is a quadrilateral that has opposite sides
that are equal and parallel
Before you click on the answer, explain your thinking.
It is a parallelogram
It is NOT a parallelogram

22. IS IT A PARALLELOGRAM?
A Rectangle
Remember: A parallelogram is a quadrilateral that has opposite sides
that are equal and parallel
Before you click on the answer, explain your thinking.
It is a parallelogram
It is NOT a parallelogram

23. IS IT A PARALLELOGRAM?
A Trapezoid
Remember: A parallelogram is a quadrilateral that has opposite sides
that are equal and parallel
Before you click on the answer, explain your thinking.
It is a parallelogram
It is NOT a parallelogram

24. IS IT A PARALLELOGRAM?
A Rhombus
Remember: A parallelogram is a quadrilateral that has opposite sides
that are equal and parallel
Before you click on the answer, explain your thinking.
It is a parallelogram
It is NOT a parallelogram

25. What conclusions can we
draw from the graphic?
Have 4 sides and 4 angles
Has opposite sides that
are equal and parallel.
Has 1 pair of
parallel sides.
Has 4 right angles.
Opposite sides are
equal and parallel.
Has 4 equal sides.
Opposite sides
are parallel.
Has 4 equal sides and
4 right angles.

26. A square can also be called a rhombus, a rectangle, a parallelogram,
and a quadrilateral.
A rectangle can also be called a parallelogram and a quadrilateral.
A rhombus can also be called a parallelogram and a quadrilateral.
A parallelogram can also be called a quadrilateral.
A trapezoid is a quadrilateral.
What conclusions can we draw from the graphic?

27. NAME THAT QUADRILATERAL!
What are the properties?
Opposite sides are equal in length.
Opposite sides are parallel.
WHAT IS THE BEST NAME FOR IT?

28. NAME THAT QUADRILATERAL!
What are the properties?
Opposite sides are equal in length.
Opposite sides are parallel.
WHAT IS THE BEST NAME FOR IT?

29. NAME THAT QUADRILATERAL!
What are the properties?
One pair of opposite sides are parallel
WHAT IS THE BEST NAME FOR IT?

30. NAME THAT QUADRILATERAL!
What are the properties?
One pair of opposite sides are parallel
WHAT IS THE BEST NAME FOR IT?

31. NAME THAT QUADRILATERAL!
What are the properties?
Four equal sides
Four right angles
WHAT IS THE BEST NAME FOR IT?

32. NAME THAT QUADRILATERAL!
What are the properties?
Four equal sides
Four right angles
WHAT IS THE BEST NAME FOR IT?

33. NAME THAT QUADRILATERAL!
What are the properties?
Four right angles
Opposite sides are equal
Opposite sides are parallel
WHAT IS THE BEST NAME FOR IT?

34. NAME THAT QUADRILATERAL!
What are the properties?
Four right angles
Opposite sides are equal
Opposite sides are parallel
WHAT IS THE BEST NAME FOR IT?

35. NAME THAT QUADRILATERAL!
What are the properties?
Four equal sides
Opposite sides are parallel
WHAT IS THE BEST NAME FOR IT?

36. NAME THAT QUADRILATERAL!
What are the properties?
Four equal sides
Opposite sides are parallel
WHAT IS THE BEST NAME FOR IT?

37. LEARNING STATION 1
WHICH IS
WHICH?

38. IDENTIFY WHETHER THE FOLLOWING QUADRILATERALS ARE
PARALLELOGRAMS OR NOT. PUT A CHECK MARK () UNDER THE
APPROPRIATE COLUMN AND ANSWER THE QUESTIONS THAT
FOLLOW.
Quadrilateral Parallelogram Not
Parallelogram
1. trapezoid
2. rectangle
3. rhombus
4. square

39. IDENTIFY WHETHER THE FOLLOWING QUADRILATERALS ARE
PARALLELOGRAMS OR NOT. PUT A CHECK MARK () UNDER THE
APPROPRIATE COLUMN AND ANSWER THE QUESTIONS THAT
FOLLOW.
Quadrilateral Parallelogram Not
Parallelogram
1. trapezoid 
2. rectangle 
3. rhombus 
4. square 

40. LEARNING STATION 2

41. TEST YOUR KNOWLEDGE.
Identify the following statements on quadrilaterals that are parallelograms as always
true, sometimes true or never true. Write A if it is always true, S if it is sometimes
true, and N if it is never true, on the space provided before each number.
________1. A kite is a parallelogram.
________2. A quadrilateral is a parallelogram.
________3. A square is a parallelogram.
________4. A trapezoid is a parallelogram.
________5. A rhombus is a parallelogram.
________6. A parallelogram is a rectangle.
________7. A parallelogram is a square.
________8. A rectangle is a parallelogram.
________9. A rhombus is a quadrilateral.
________10. A parallelogram is a rhombus.