A quadrilateral is a parallelogram if: its opposite angles are equal, or. its opposite sides are equal, or. one pair of opposite sides are equal and parallel, or. its diagonals bisect each other.

1. MATHEMATICS 9
TEACHER ABBY

2. PRAYER
•Our Heavenly Father,
We thank you for the
opportunity to begin
this new day

3. PRAYER
•As we begin our class, we ask You
to give us the knowledge and
wisdom that we need to help us in
understanding our lesson today

4. PRAYER
•We pray that You will guide
us in all ways, so that we will
seek Your will in everything
that we do.

5. PRAYER
•We bring back all the glory and honor.
•In Jesus name we pray.
•Amen

6. MATHEMATICS 9
TEACHER ABBY

8. What is
Quadrilateral?
Quadrilaterals have 4
sides and 4 angles

9. What are the types
of quadrilaterals
Parallelogram,
Rhombus, Trapezoid,
Squares and
Rectangles

10. Definition of Terms:
Try to define,
and spell the
given terms

11. A
B
C
Opposite Angle
two angles opposite each other
two sides opposite each other
following one angle after the other angle in order

12. A
B
C
Opposite Angle
two angles opposite each other

13. Opposite Angle
two angles opposite each other
∠𝐷 ≅ ∠𝐵
∠𝐶𝐷𝐴 ≅ ∠𝐶𝐵𝐴
∠𝐴𝐷𝐶 ≅ ∠𝐴𝐵𝐶

14. A
B
C
Opposite Side
two angles opposite each other
two sides opposite each other
following one angle after the other angle in order

15. A
B
C
Opposite Side
two sides opposite each other

16. Opposite Side
two sides opposite each other
𝐴𝐵 ≅ 𝐷𝐶
A B
C
D
𝐴𝐷 ≅ 𝐵𝐶

17. A
B
C
Consecutive Angles
two angles opposite each other
two sides opposite each other
following one angle after the other angle in order

18. Consecutive Angles
following one angle after the other angle in order
B
A C

19. Consecutive Angles
following one angle after the other angle in order
∠𝑃 𝑎𝑛𝑑 ∠𝑄
∠𝑅 𝑎𝑛𝑑 ∠𝑄
∠𝑅 𝑎𝑛𝑑 ∠𝑆
∠𝑃 𝑎𝑛𝑑 ∠𝑆

20. A
B
C
Congruent
to have the same shape and size.
a line that divides a line or an angle into two
equivalent parts
two angles whose sum is 180°.

21. Congruent
to have the same shape and size.
B
A C

22. Congruent
to have the same shape and size.

23. A
B
C
Bisector
to have the same shape and size.
a line that divides a line or an angle into two
equivalent parts
two angles whose sum is 180°.

24. Bisector
a line that divides a line or an angle into two
equivalent parts
B
A C

25. Bisector
a line that divides a line or an angle into two
equivalent parts
C A
N
D
Y 𝐴𝑌 ≅ 𝐷𝑌
𝐶𝑌 ≅ 𝑁𝑌

26. A
B
C
Supplementary Angles
to have the same shape and size.
a line that divides a line or an angle into two
equivalent parts
two angles whose sum is 180°.

27. Supplementary Angles
two angles whose sum is 180°.
∠𝐴 + ∠𝐵 = 180
∠𝐶 + ∠𝐵 = 180
∠𝐶 + ∠𝐷 = 180
∠𝐴 + ∠𝐷 = 180

30. What have
you noticed in
the picture?

34. Do you see parts
that show
quadrilaterals?

36. Conditions which guarantee a
quadrilateral is a
parallelogram

37. 01
02
03
OBJECTIVES
Determine the conditions that make
a quadrilateral a parallelogram.

38. 01
02
03
OBJECTIVES
Identify and state if the quadrilateral
is a parallelogram using the given
condition.

39. 01
02
03
OBJECTIVES
Show camaraderie in doing the
activity.

42. Activity 1: Which is which
Identify whether the following
quadrilaterals are parallelograms or
not. Put a check mark ( ) under the
appropriate column and answer the
questions that follow

43. Which is which
Identify whether the following quadrilaterals are
parallelograms or not. Put a check mark ( ) under the
appropriate column and answer the questions that
follow

44. Which of the
quadrilaterals are
parallelogram?

46. Activity 2: : Fantastic F our!
Each group will be given
the materials needed.
Follow the given
procedures and answer the
questions that follow.

47. Materials:

48. Procedure:
1. The group shall draw a
parallelogram on a graphing
paper.
 Group 1-parallelogram OBEY,
 Group 2- rectangle GIVE,
 Group 3 - rhombus THNX, and
 Group 4 - square LOVE

49. Procedure:
2. Measure the sides and the
angles and record your
findings in your own table.

50. Procedure:
3. Draw the diagonals and measure
the segments formed by the
intersecting diagonals. Record
your findings in the table.

51. Procedure:
4. After answering the questions,
post your work to the board.

52. Procedure:
5. Study your work because I will
randomly select the group reporter.

53. Criteria
Excellent-10 points
Good------8 points
Fair--------7 points
Poor-------5 points

54. Criteria
10 8 7 5

55. Criteria
10 8 7 5

56. Criteria
10 8 7 5

57. Criteria
10 8 7 5

58. Time starts now!

60. Time UP!

61. Based on the
table what is true
about the pairs of

62. Based on the
table what is true
about the pairs of

63. Based on the
table what is true
about the pairs of

64. Based on the table
what is true about the
pairs of
Segments formed by the
intersecting diagonals

65. What does each
diagonal do to a
parallelogram?

66. Make a conjecture
about two triangles
formed when a diagonal
of a parallelogram is
drawn?

67. Do the findings
apply to all kinds of
parallelogram?

68. When can we say
that a quadrilateral
is a parallelogram?

69. Criteria
Excellent-10 points
Good------8 points
Fair--------7 points
Poor-------5 points

70. Criteria
Excellent-10 points
Good------8 points
Fair--------7 points
Poor-------5 points

71. Criteria
Excellent-10 points
Good------8 points
Fair--------7 points
Poor-------5 points

72. Criteria
Excellent-10 points
Good------8 points
Fair--------7 points
Poor-------5 points

74. Condition 1
Two pairs of
opposite side
are parallel
If 𝑂𝑌 ∥ 𝐵𝐸 and 𝑂𝐵 ∥ 𝑌𝐸 then,
OBEY is a parallelogram.
O B
E
Y

75. Condition 2
Two pairs of
opposite side
are congruent
If 𝐴𝐵 ∥ 𝐷𝐶 ≅ 𝐴𝐷 ∥ 𝐷𝐶 then,
ABCD is a parallelogram.

76. Condition 3
Two pairs of
consecutive angles
are supplementary
If ∠𝐴 + ∠𝐵 = 180 𝑎𝑛𝑑
∠𝑫 + ∠𝑪 = 𝟏𝟖𝟎 then,
ABCD is a parallelogram.

77. Condition 4
One pair of opposite
sides are congruent
and parallel
If 𝐺𝐼 ≅ 𝐸𝑉𝑎𝑛𝑑 𝐺𝐼 ∥ 𝐸𝑉
then, GIVE is a parallelogram.
G I
V
E

78. Condition 5
Diagonals
bisect each
other
If 𝐴𝑌 ≅ 𝐷𝑌𝑎𝑛𝑑 𝐶𝑌 ≅ 𝑁𝑌
then, CAND is a parallelogram.
C A
N
D
Y

79. Condition 6
Diagonals divide the
quadrilateral into two
congruent triangle
If∆𝐶𝑌𝐴 ≅ ∆DYN then,
CAND is a parallelogram.
C A
N
D
Y

81. Identify and state if the quadrilateral is a
parallelogram using the given condition.

82. Identify and state if the quadrilateral is a
parallelogram using the given condition.

83. Identify and state if the quadrilateral is a
parallelogram using the given condition.

84. The weavers of the
Bontoc tribe who are
practicing the sinnawed
method of weaving
claims that the basic
geometric designs they
create are matmata,
tiktiko, tagtakho, kalasag,
tufay, pinang, u-uweg,
fatawer, sokyong and
talaw.
FUN FACT

85. corresponds to the
shape of an eye in a
diamond figure. This
represents the eyes
of the Lumawig (the
Almighty) who is
watching all His
children on Earth.
Matmata

86. Yohan and Shantal are
one of the weavers of
the Bantoc tribe. Yohan
told Shantal that matata
is a quadrilateral which is
a rhombus and therefore
a parallelogram. Do you
agree with Yohan?
Situation:

87. Solve for the value of x to make the given
quadrilateral a parallelogram.
𝐿𝑀 ≅ 𝐽𝑀
−3 + 6𝑥 ≅ 1 + 5𝑥
6𝑥 − 5𝑥 ≅ 1 + 3
𝑥 ≅ 4

88. Solve for the value of x to make the given
quadrilateral a parallelogram.
𝐿𝑀 ≅ 𝐽𝑀
−3 + 6𝑥 ≅ 1 + 5𝑥
𝑥 ≅ 4
−3 + 24 ≅ 1 + 20
21 ≅ 21

89. I
learned
that
Feel mo
share mo!
I
realized
that
I still don’t
get that

90. Go back
to your
seats

91. QUIZ
Identify and state if the
quadrilateral is a parallelogram
using the given condition.
Parallelogram or Not
2 points each item

92. Direction: Identify and state if the quadrilateral is a parallelogram using
the given condition.

93. Let’s Check

94. Direction: Identify and state if the quadrilateral is a parallelogram using
the given condition.
Parallelogram
Two opposite sides are congruent

95. Direction: Identify and state if the quadrilateral is a parallelogram using
the given condition.
Parallelogram
Two consecutive angles is equal to 180 degrees

96. Direction: Identify and state if the quadrilateral is a parallelogram using
the given condition.
Parallelogram
Two opposite sides are congruent

97. Direction: Identify and state if the quadrilateral is a parallelogram using
the given condition.
Not a parallelogram
Insufficient given

98. Assignment
Using recyclable materials
design and construct your
own bridge.
Bridge Craft: Design and
Construct Your Own Bridge

99. Rubrics:

100. Rubrics:

101. Rubrics:

102. Rubrics:

103. Thank you!
www.reallygreatsite.com