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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.
QUADRILATERALS
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. RectangleA 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. RhombusA 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. TrapezoidA 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. KiteA 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
102A1.
A
B262.
Examples: Angles in Quadrilateral
Direction: Find the Angles marked with letters.
A
CB
68
88
62
2.
120
84A
B1.
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 = 7
102A
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 =
A = 64
Examples: Angles in Quadrilateral
Solutions:
A
B26
back
1) A = 84
A + B + 90 + 120 = 360
84 + B + 90 + 120 = 360
B + 2 = 360
B = 360 - 2
B = 6
Exercise 1: Angles in Quadrilateral
Solutions:
120
84A
B
back
A
CB
68
88
62
2) 88+ B + 68 + 62 = 360
B + 218 =
360
B = 360 - 2
B = 142
Exercise 1: Angles in Quadrilateral
Solutions:
A + 68 + 62 = 180
A + = 180
A = 180 -
130
A =
5
Exercise 1: Angles in Quadrilateral
Solutions:
C + 88 + 62 = 180
C+ = 180
C = 180 -
150
C =
3
A
CB
68
88
62 back