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Good morning everyone! Before we
will start our discussion for this day,
let’s have a prayer first. I request
everyone to please stand up.
A Quadrilateral is a polygon with four sides.
Quadrilateral just means “four sides”. (quad means
four, lateral means side).
A Quadrilateral has four-sides, 2-dimensional (a
flat shape), closed (the lines join up), and
has straight sides.
Properties of Quadrilaterals:
 Four sides (edges)
 Four vertices (corners)
 The interior angles add up to 360 degrees
1. Parallelogram
2. Rectangle
3. Rhombus
4. Square
5. Trapezoid
6. Kite
Types of Quadrilaterals:
1. Parallelogram
A Parallelogram is a
quadrilateral with two pairs
of opposite sides parallel to
each other. Opposite angles
are also equal.
2. Rectangle
A Rectangle is a
four-sided shape where
every angle is a right
angle (90°). The opposite
sides are also parallel
and equal in length.
3. Rhombus
A Rhombus is a four-sided shape where all sides have
equal length. The opposite sides are also parallel and opposite
angles are equal. The diagonals bisect each other and meet in
the middle at a right angle.
4. Square
A Square has equal
sides and all angles are
right angles or measures
90°. The opposite sides
are also parallel.
5. Trapezoid
A Trapezoid is a quadrilateral with exactly one
pair of opposite sides parallel to each other called the
bases. The other non-parallel sides are called the legs.
It is called an Isosceles Trapezoid if the
sides that aren't parallel are equal in length and
both angles coming from a parallel side are equal.
6. Kite
A Kite has two pairs of sides.
Each pair is made up of adjacent sides
that are equal in length. The angles are
equal where the pairs meet. Diagonals
meet at a right angle, and one diagonal
bisects the other.
Family Tree
102°
A1.
A
B
26°
2.
Examples: Angles in Quadrilateral
Direction: Find the Angles marked with letters.
A
C
B
68°
88°
62°
2.
120°
84°
A
B
1.
Exercise 1: Angles in Quadrilateral
Direction: Find the Angles marked with letters.
Assignment:
Using the Venn diagram, present the
relationship of the types of Quadrilaterals.
Write it in a one whole sheet of
intermediate paper and pass it next
meeting.
Prepared by:
Francisco, Reymond C.
1) 102° + 90° + 90° + A = 360°
282° + A = 360°
A = 360° - 282°
A = 7𝟖°
102°
A
Examples: Angles in Quadrilateral
Solutions:
back
2) 2A + 2B= 360°
B = (90° + 26°)
B = 116°
2A + 2(116°) = 360°
2A + 232° = 360°
2A = 360° - 232°
2A= 128°
A =
128°
2
A = 64°
Examples: Angles in Quadrilateral
Solutions:
A
B
26°
back
1) A = 84°
A + B + 90° + 120° = 360°
84° + B + 90° + 120° = 360°
B + 294° = 360°
B = 360° - 294°
B = 6𝟔°
Exercise 1: Angles in Quadrilateral
Solutions:
120°
84°
A
B
back
A
C
B
68°
88°
62°
2) 88°+ B + 68° + 62° = 360°
B + 218° = 360°
B = 360° - 218°
B = 142°
Exercise 1: Angles in Quadrilateral
Solutions:
A + 68° + 62° = 180°
A + 130° = 180°
A = 180° - 130°
A = 5𝟎°
Exercise 1: Angles in Quadrilateral
Solutions:
C + 88° + 62° = 180°
C+ 150° = 180°
C = 180° - 150°
C = 3𝟎°A
C
B
68°
88°
62°
back

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Quadrilaterals

  • 1. Good morning everyone! Before we will start our discussion for this day, let’s have a prayer first. I request everyone to please stand up.
  • 2.
  • 3.
  • 4. A Quadrilateral is a polygon with four sides. Quadrilateral just means “four sides”. (quad means four, lateral means side). A Quadrilateral has four-sides, 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.
  • 5. Properties of Quadrilaterals:  Four sides (edges)  Four vertices (corners)  The interior angles add up to 360 degrees
  • 6. 1. Parallelogram 2. Rectangle 3. Rhombus 4. Square 5. Trapezoid 6. Kite Types of Quadrilaterals:
  • 7. 1. Parallelogram A Parallelogram is a quadrilateral with two pairs of opposite sides parallel to each other. Opposite angles are also equal.
  • 8. 2. Rectangle A Rectangle is a four-sided shape where every angle is a right angle (90°). The opposite sides are also parallel and equal in length.
  • 9. 3. Rhombus A Rhombus is a four-sided shape where all sides have equal length. The opposite sides are also parallel and opposite angles are equal. The diagonals bisect each other and meet in the middle at a right angle.
  • 10. 4. Square A Square has equal sides and all angles are right angles or measures 90°. The opposite sides are also parallel.
  • 11. 5. Trapezoid A Trapezoid is a quadrilateral with exactly one pair of opposite sides parallel to each other called the bases. The other non-parallel sides are called the legs.
  • 12. It is called an Isosceles Trapezoid if the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal.
  • 13. 6. Kite A Kite has two pairs of sides. Each pair is made up of adjacent sides that are equal in length. The angles are equal where the pairs meet. Diagonals meet at a right angle, and one diagonal bisects the other.
  • 15. 102° A1. A B 26° 2. Examples: Angles in Quadrilateral Direction: Find the Angles marked with letters.
  • 16. A C B 68° 88° 62° 2. 120° 84° A B 1. Exercise 1: Angles in Quadrilateral Direction: Find the Angles marked with letters.
  • 17. Assignment: Using the Venn diagram, present the relationship of the types of Quadrilaterals. Write it in a one whole sheet of intermediate paper and pass it next meeting.
  • 18.
  • 20. 1) 102° + 90° + 90° + A = 360° 282° + A = 360° A = 360° - 282° A = 7𝟖° 102° A Examples: Angles in Quadrilateral Solutions: back
  • 21. 2) 2A + 2B= 360° B = (90° + 26°) B = 116° 2A + 2(116°) = 360° 2A + 232° = 360° 2A = 360° - 232° 2A= 128° A = 128° 2 A = 64° Examples: Angles in Quadrilateral Solutions: A B 26° back
  • 22. 1) A = 84° A + B + 90° + 120° = 360° 84° + B + 90° + 120° = 360° B + 294° = 360° B = 360° - 294° B = 6𝟔° Exercise 1: Angles in Quadrilateral Solutions: 120° 84° A B back
  • 23. A C B 68° 88° 62° 2) 88°+ B + 68° + 62° = 360° B + 218° = 360° B = 360° - 218° B = 142° Exercise 1: Angles in Quadrilateral Solutions:
  • 24. A + 68° + 62° = 180° A + 130° = 180° A = 180° - 130° A = 5𝟎° Exercise 1: Angles in Quadrilateral Solutions: C + 88° + 62° = 180° C+ 150° = 180° C = 180° - 150° C = 3𝟎°A C B 68° 88° 62° back