QUADRILATERALS I. RECTANGLES
l p Formulas on Rectangles • Perimeter •
• • • •
The properties of a rectangle are: opposite sides are parallel and
The equal All angles are right angle The diagonals are equal The diagonals are bisect each other
K =2(p+l) L = p× l
Area
II. SQUARES
The properties of a square
are: • • • • • • •
s
s
Formulas on Squares • Perimeter •
•
All sides are equal The opposite sides are parallel All angles are right angle The diagonals are equal The diagonals are bisect each other The diagonals are bisect the angles The diagonal are cross perpendicularly each other The diagonal are the axis symmetry
K=4× s L=s× s
Area
III. PARALLELOGRAMS
The properties of parallelograms
are: b
t a Formulas on parallelograms • Perimeter
• • • •
The opposite sides are equal and parallel The opposite angles are equal The sum of adjacent angles is 1800 The diagonal are bisect each other K=2(a+b)
•
Area
L=axt
IV. RHOMBUSES s
s
d1 d2
Formulas on rhombuses • Perimeter •
Area
• • • • • •
The properties of rhombuses are: All sides are equal The opposite sides are parallel The diagonal bisect the angles Both diagonals are perpendicular and bisect each other The diagonals are the axis symmetry The sum of adjacent angles is 1800 K=4xs
L = d 1 x d2 : 2
V. KITES a
The properties of kites are: • Two pairs of the sides close to each other are equal • One pair of backside angles is equal • Diagonals are perpendicular to each other • One of the diagonals bisect the other and it is the axis of symmetry Formulas on kites • Perimeter K = 2( a + b )
d1 d2
b
•
VI. TRAPEZOIDS a b
t
• d
•
Area
L = d 1 x d2 : 2
The properties of trapezoids are: One pair of the opposite sides are parallel The sum of adjacent angles are form by the parallel sides is 1800
c
•
Formulas on trapezoids Perimeter K=a+b+c+d
•
Area
L=(a+c):2× t
WORK SHEET 1. Look at the figures below and completed the table. No. Shape A
1
B
O
Name of shape
Rectangles
Parallel sides • •
D
C
P
2
…………… …….
S
• •
R K
AB = DC AD = ….
DB = ….
• •
… = …. … = ….
… = ….
… // …. … // ….
• •
… = …. … = ….
… // ….
• •
… = …. … = ….
AB // DC AD // ….
•
… // …. … // ….
•
L O
N
…………… …… M
4
• •
D E
Equal diagonal
Q O
3
Equal sides
O
G
……………
•
……
•
… // ….
F
5
T
W
O
• •
…………… …….
U
… = …. … = ….
V
2. Fill in ( √ ) to the right statement on the table. N o.
Properties
1
Parallel sides
2
Equal sides
3
Right angles Diagonal bisect each other Perpendicu lar diagonal The diagonal is an axis symmetry Sum of the adjacent angles is 180o
4 5 6
7
Rectangl Square Parallelog es s ram √
√ √
√
Rhombu ses √
Kites
Trapezoi ds √
3. Kinds of trapezoids. B a. A …..,
Trapezoid on the left has two equal ……… it is AD = ………. So the kinds of trapezoids is ………………
….. trapezoid. D
C
b.P
S
Q
The trapezoid on the left has two equal angles are right; those are ∠ SPQ and ∠ …. So the kinds of trapezoids is …………… …… trapezoids.
R
N
c.
M
The trapezoid on the left has not …………….. sides. So the kinds of trapezoids is …… ……………….trapezoids. K
L