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Chapter 8:
Shapes and
symmetry
By: Eng./Teacher Wael
Shnoudi
8.1 Quadrilaterals
and polygons
Objectives
01
02
03
04
Identify the
symmetry of
regular polygons
Identify Rotational
Symmetry of
polygons
Identify and
describe the
hierarchy of
quadrilaterals.
Know the
different types of
polygons
Lines of
Symmetry
• A line that can be drawn through a shape so
that what can be see on either side is a mirror
image.
• It is sometimes called a Mirror Line
These shapes have one
line of symmetry
These shapes
have two lines
of symmetry
Some shapes have more than 2 lines of
symmetry
Square Equilateral Triangle Circle
Rotational Symmetry
A square has a rotational symmetry of order 4
Rotational
Symmetry
• Rotational Symmetry is how
many times a shape can be
rotated and fit within itself
• Rotational Symmetry is how
many times a shape can be
rotated and look the same
Equilateral Triangle
An equilateral
triangle has a
rotational symmetry
of order 3
What is the rotational
symmetry of this shape?
It has to be rotated one complete turn before it
fits into itself
Order 1
Shapes and Symmetry
Refer to book
These figures are not polygons These figures are polygons
Definition:A closed figure formed by a finite number of coplanar
segments so that each segment intersects exactly two
others, but only at their endpoints.
Polygons
Classifications of a Polygon
Regular: A polygon in which all angles are congruent and all sides
are congruent
That’s an equiangular equilateral polygon.
Irregular: A polygon that is not regular
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.
Quadrilaterals in
the real world
Types of
Quadrilaterals
Square
Rectangle
Trapezoid
Rhombus
Paralellogram
A SQUARE
• A square is a
quadrilateral with 4
equal sides and 4 right
angles.
A RECTANGLE
• 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.
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?
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.
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?
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.
What conclusions can we draw from the
graphic?
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.
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.
Book
Book
Book
Book
Book
HW Workbook p.96-97
Book
Book
Book
Book
Book
Book
HW Workbook p.100-101
ANY QUESTIONS?

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UNIT 8 lesson 8.1 g7.pptx

  • 1. Chapter 8: Shapes and symmetry By: Eng./Teacher Wael Shnoudi
  • 3. Objectives 01 02 03 04 Identify the symmetry of regular polygons Identify Rotational Symmetry of polygons Identify and describe the hierarchy of quadrilaterals. Know the different types of polygons
  • 4. Lines of Symmetry • A line that can be drawn through a shape so that what can be see on either side is a mirror image. • It is sometimes called a Mirror Line
  • 5. These shapes have one line of symmetry
  • 6. These shapes have two lines of symmetry
  • 7. Some shapes have more than 2 lines of symmetry Square Equilateral Triangle Circle
  • 8. Rotational Symmetry A square has a rotational symmetry of order 4
  • 9. Rotational Symmetry • Rotational Symmetry is how many times a shape can be rotated and fit within itself • Rotational Symmetry is how many times a shape can be rotated and look the same
  • 10. Equilateral Triangle An equilateral triangle has a rotational symmetry of order 3
  • 11. What is the rotational symmetry of this shape? It has to be rotated one complete turn before it fits into itself Order 1
  • 14. These figures are not polygons These figures are polygons Definition:A closed figure formed by a finite number of coplanar segments so that each segment intersects exactly two others, but only at their endpoints. Polygons
  • 15. Classifications of a Polygon Regular: A polygon in which all angles are congruent and all sides are congruent That’s an equiangular equilateral polygon. Irregular: A polygon that is not regular
  • 16.
  • 17. 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.
  • 20. A SQUARE • A square is a quadrilateral with 4 equal sides and 4 right angles.
  • 21. A RECTANGLE • A rectangle is a quadrilateral with 4 right angles. • Its opposite sides are equal and parallel.
  • 22. 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. Rectangle?
  • 23. 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?
  • 24. 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.
  • 25. A TRAPEZOID • A trapezoid is a quadrilateral that has exactly 1 pair of parallel sides.
  • 26. IS THIS A TRAPEZOID? ◦ Yes, it has one set of parallel sides.
  • 27. A RHOMBUS • A rhombus is a quadrilateral that has 4 equal sides. Its opposite sides are parallel.
  • 28. 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?
  • 29. 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. What conclusions can we draw from the graphic?
  • 30. 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. 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.
  • 31. Book
  • 32. Book
  • 33. Book
  • 34. Book
  • 35. Book
  • 37. Book
  • 38. Book
  • 39. Book
  • 40. Book
  • 41. Book
  • 42. Book