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QUADRILATERALS
(Week 1)
Properties of
Quadrilaterals
Learning Objectives
Define a quarilateral
Differentiate all kinds of quadrilaterals
Demonstrate caution in identifying the different kinds of
parallelogram.
Develop trust among others by sharing their insights and idea.
QUADRILATERALS
A quadrilateral is a two-dimensional
figure with four sides and four
angles.
The word part “quad” means 4 and “lateral”
means sides.
TYPES OF QUADRILATERALS
What is a Quadrilateral?
Look around you. Do you see shapes in this
room that could be called quadrilaterals?
Quadrilaterals in the real world
Quadrilaterals in the real world
TYPES OF QUADRILATERALS
Square
Rectangle
Trapezoid
Rhombus
Paralellogram
A square is a
quadrilateral with 4
equal sides and 4 right
angles.
A rectangle is a
quadrilateral with 4
right angles. Its opposite
sides are equal and
parallel.
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?
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.
Take note …
•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.
A TRAPEZOID
• A trapezoid is a
quadrilateral that has
exactly 1 pair of parallel
sides.
IS THIS A TRAPEZOID?
◦Yes, it has one set of parallel sides.
A RHOMBUS
•A rhombus is a
quadrilateral that
has 4 equal sides.
Its opposite sides
are parallel.
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?
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
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
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
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
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
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.
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.
Name that Quadrilateral!
What are the properties?
Opposite sides are equal in length.
Opposite sides are parallel.
WHAT IS THE BEST NAME FOR
IT?
Name that Quadrilateral!
What are the properties?
One pair of opposite sides are parallel
WHAT IS THE BEST NAME FOR
IT?
Name that Quadrilateral!
What are the properties?
Four equal sides
Four right angles
WHAT IS THE BEST NAME FOR
IT?
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?
Name that Quadrilateral!
What are the properties?
Four equal sides
Opposite sides are parallel
WHAT IS THE BEST NAME FOR
IT?
Click here to play a quadrilateral game.
0
1
2
3
4
5
Category 1 Category 2 Category 3 Category 4
Chart Title
Series 1 Series 2 Series 3
S U M M A R Y
The quick brown fox jumps over the lazy
dog. The quick brown fox jumps over the
lazy dog. The quick brown fox jumps over
the lazy dog. The quick brown fox jumps
over the lazy dog.
C O N C L U S I O N
The quick brown fox jumps over the lazy
dog. The quick brown fox jumps over the
lazy dog. The quick brown fox jumps over
the lazy dog. The quick brown fox jumps
over the lazy dog. The quick brown fox
jumps over the lazy dog.
Thank you for listening!
lessons on mathematics 9-QUADRILATERALS.pptx

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lessons on mathematics 9-QUADRILATERALS.pptx

  • 3. Learning Objectives Define a quarilateral Differentiate all kinds of quadrilaterals Demonstrate caution in identifying the different kinds of parallelogram. Develop trust among others by sharing their insights and idea.
  • 4. QUADRILATERALS 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?
  • 10. A square is a quadrilateral with 4 equal sides and 4 right angles.
  • 11. A rectangle is a quadrilateral with 4 right angles. Its opposite sides are equal and parallel.
  • 12. 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?
  • 13. 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.
  • 14. Take note … •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.
  • 15. A TRAPEZOID • A trapezoid is a quadrilateral that has exactly 1 pair of parallel sides.
  • 16. IS THIS A TRAPEZOID? ◦Yes, it has one set of parallel sides.
  • 17. A RHOMBUS •A rhombus is a quadrilateral that has 4 equal sides. Its opposite sides are parallel.
  • 18. 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?
  • 19. 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
  • 20. 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
  • 21. 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
  • 22. 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
  • 23. 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
  • 24. 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.
  • 25. 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.
  • 26. Name that Quadrilateral! What are the properties? Opposite sides are equal in length. Opposite sides are parallel. WHAT IS THE BEST NAME FOR IT?
  • 27. Name that Quadrilateral! What are the properties? One pair of opposite sides are parallel WHAT IS THE BEST NAME FOR IT?
  • 28. Name that Quadrilateral! What are the properties? Four equal sides Four right angles WHAT IS THE BEST NAME FOR IT?
  • 29. 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?
  • 30. Name that Quadrilateral! What are the properties? Four equal sides Opposite sides are parallel WHAT IS THE BEST NAME FOR IT?
  • 31. Click here to play a quadrilateral game.
  • 32. 0 1 2 3 4 5 Category 1 Category 2 Category 3 Category 4 Chart Title Series 1 Series 2 Series 3
  • 33. S U M M A R Y The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog.
  • 34. C O N C L U S I O N The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog.
  • 35. Thank you for listening!