The document defines and provides examples of different types of quadrilaterals. It identifies squares, rectangles, rhombi, parallelograms, isosceles trapezoids, and kites. It gives the defining properties of each shape. Examples are provided to solve for missing side lengths and angles of various quadrilaterals using their properties. A short quiz evaluates understanding of quadrilaterals and solving problems involving their measurements.

1. Prepared by: Carlo Gabay
Carlos Punay Jr.
Junjun Lubos

2. Objectives :
I can identify the different quadrilaterals.
I can differentiate the quadrilaterals based
from there classification
I can solve the missing side and angle of a
quadrilateral.

3. Quadrilaterals
Kinds of Quadrilaterals
Square
Rectangle
Rhombus
Parallelogram
Isosceles Trapezoid
Kite

4. Square
- has 4 equal sides
- all angles are right
- diagonals are
congruent and
perpendicular
Quadrilaterals

5. Rectangle
- 2 opposite sides
are congruent
- all angles are
right
- diagonals are
congruent
Quadrilaterals

6. Rhombus
- 4 sides are equal
- 2 opposite angles are
congruent
- 2 consecutive angles
are supplementary
- diagonals are
congruent and
perpendicular
Quadrilaterals

7. Parallelogram
- 2 opposite sides are
equal
- 2 opposite angles are
congruent
- 2 consecutive angles
are supplementary
- diagonals are
congruent and
perpendicular
Quadrilaterals

8. Isosceles Trapezoid
- one pair side are parallel
- one pair side are
congruent
- base angles are
congruent
- diagonals are congruent
Quadrilaterals

9. Kite
- 2 pair sides are
congruent
- 1 pair of opposite
angle is congruent
- diagonals are
perpendicular
Quadrilaterals

11.  Example 1
Find the
dimensions of the
parallelogram
LOVE in meters.
Computation of Unknown Angles/Sides
of Quadrilaterals

12. Solution:
LO≅EV LE≅OV
4x-10=2x 4x-7=3x-4
4x-2x=10 4x-3x=7-4
x=5 x=3
LO=4x-10 LE=4x-7
=4(5)-10 =4(3)-7
=10m =5m
Therefore, the dimensions of the parallelogram LOVE are
5m by 10m.
Computation of Unknown Angles/Sides
of Quadrilaterals

13.  Example 2
What is the smaller
angle in the given
Isosceles
Trapezoid?
Computation of Unknown Angles/Sides
of Quadrilaterals

14. Solution:
(3y+3)+(6y-12)=180
3y+3+6y-12 =180
9y=180+12-3
9y=189
y=21
Computation of Unknown Angles/Sides
of Quadrilaterals

15. Substitute the value of y; y=21
(3y+3) ° (6y-12) °
= [3(21)+3]° = [6(21)-12] °
= 66° = 114°
Therefore, the smaller angle is 66°.
Computation of Unknown Angles/Sides
of Quadrilaterals

16.  Example 3
The perimeter of a rectangle is 26cm. If its width
is 3 less than its length, what are its dimension?
Solution:
P=2L+2W 4L=26+6
26=2L+2W(L-3) 4L=32
26=2L+2L-6 L=8cm
26=4L-6
Computation of Unknown Angles/Sides
of Quadrilaterals

17. Substitute the value of L to get the width;
L=8cm
W=L-3
W=8-3
W=5cm
Therefore, the dimensions of the
rectangle are 5cm by 8cm.
Computation of Unknown Angles/Sides
of Quadrilaterals

18. Checking:
L=8 , W=5
P= 2L+2W
26= 2(8)+2(5)
26= 16+10
26=26
Computation of Unknown Angles/Sides
of Quadrilaterals

19. Directions: Read the questions carefully. Write
the letter of the best answer in your answer
sheet.
1. Which statement below expresses truism?
A. Quadrilateral is compose of 5 sides..
B. Rectangle can be considered as square.
C. Square can be considered as rectangle.
D. The diagonals of a square are not
congruent.
Evaluation

20. 2. Which is one is not belong to the group?
A. square
B. rhombus
C. circle
D. kite
Evaluation

21. 3. A type of quadrilateral that has 4 equal
sides and its all angles measures 90 °.
A. Rhombus
B. Square
C. Rectangle
D. Kite
Evaluation

22. 4. What is the perimeter of the rectangle if it
measures 5 cm on its width and 2 cm on
its length?
A. 14 cm
B. 15 cm
C. 16 cm
D. 17 cm
Evaluation

23. 5. what is the area of the square if one side
measures 3 cm?
A. 6 cm2
B. 9 cm2
C. 12 cm2
D. 15 cm2
Evaluation

24. Mathematics Learner’s Material 9, pp. 297-304
Reference: