This document is a self-learning kit on geometry for 7th grade students that discusses quadrilaterals. It defines quadrilaterals and different types of quadrilaterals like trapezoids, parallelograms, rhombuses, rectangles, squares, and kites. It includes objectives, credits, reviews, discussions, activities, and web links to illustrate and identify different quadrilaterals. The document uses diagrams and examples to teach students about quadrilaterals and their properties.

1. Mathematics Teachers Association of the Philippines
Self Learning Kit : Grade 7 – Geometry
Quadrilaterals
Objectives Credits Review Discussion Activities Web Links
Click the icons to navigate.
Prepared by: Mr. Alvin Patrick Q. Peñaflorida
VALENZUELA NATIONAL HIGH SCHOOL
Division of City Schools - VALENZUELA

2. Objectives
Illustrate, name and identify
the different kinds of
quadrilaterals
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3. Credits
Reference Books:
1. E-Math III by Oronce and Mendoza, First Edition, 2007
2. The University of Chicago School Mathematics Project
(GEOMETRY) by Usiskin et. al., second Edition, 1997
Web:
1. http://www.mathsisfun.com
2. http://www.mathopenref.com
3. http://www.animatedgif.net
4. http://www.gifs-paradise.com
5. http://classroomclipart.com
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4. Review
Click here to
begin
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5. Which of the following figure is a polygon ?
Click the figure that you think is a polygon.
Points
Click here for hint!!!
III
Click here if you got 3 points Back Home Next

6. Very Good!
This is a polygon since:
a. It is a closed plane figure formed by
three or more line segments;
b. each segments intersects exactly two
others, one at each endpoint;
c. and no two segments with a common
endpoint are collinear.
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7. Nice try…
But this is not a polygon may be
because:
a. It is NOT a closed plane figure formed
by three or more line segments;
b. each segments DO NOT intersects
exactly two others, one at each
endpoint;
c. or THERE ARE two segments with a
common endpoint that are collinear.
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8. Definition of POLYGON
A Polygon:
a. is a closed plane figure formed by three
or more line segments;
b. each segments intersects exactly two
others ,one at each endpoint;
c. and no two segments with a common
endpoint are collinear.
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9. QUADRILATERALS
“Four Sided Polygon”
Discussion
The figure below shows
coplanar points A,B,C
and D such that no three
points are collinear.
B
A
C
D
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10. QUADRILATERALS
The four points A,B,C
and D are the vertices,
which joined by four
segments.
B
A
C
D
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11. QUADRILATERALS
The union of these four
segments is called
QUADRILATERAL.
B
A
C
D
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12. NAMING
QUADRILATERALS
The given QUADRILATERAL
can be named by listing its B
vertices starting with any vertex A
and writing or reading the other
vertices in either CLOCKWISE
or COUNTERCLOCKWISE C
direction D
Click here Click here
for
CLOCKWISE for
COUNTERCLOCKWISE
ABCD ADCB
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13. NAMING
QUADRILATERALS
Hence, the quadrilateral below can be named as:
B
CLOCKWISE COUNTERCLOCKWISE A
ABCD ADCB
BCDA DCBA C
CDAB CBAD D
DABC BADC
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14. “Hierarchy of Quadrilaterals”
Trapezium
Trapezoid
Kite
Parallelogram
Isosceles
Trapezoid
Back
Rhombus Rectangle
Home Square
Next Parallelogra
Rectangle
Trapezoi
Isosceles
Rhombus
Trapeziu
Square
Kite

15. Trapezium
T
A
M
MTAP P
A Quadrilateral with
no parallel sides.
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16. A M MATH
Trapezoid
T H
A quadrilateral that has exactly one
pair of opposite sides parallel.
The sides that are parallel are called
"bases". The other sides are "legs".
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17. R
CARE
Kite
E A
A quadrilateral that:
* has two pairs of sides.
* each pair is adjacent sides
(they meet) that are equal in C
length.
Also, the angles are equal where the pairs meet.
Diagonals (dashed lines) meet at a right angle, and
one of the diagonal bisects (cuts equally in half) the
other.
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18. C E
Parallelogram
I N
NICE
A quadrilateral where opposite
sides are parallel.
Also:
* opposite sides are equal in length,
*and opposite angles are equal
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19. IsoscelesTrapezoid
O L
V E
LOVE
A quadrilateral which has a pair of opposite
sides parallel.
Also:
*the sides that aren't parallel are equal in
length
*and both angles coming from a parallel side
are equal
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20. Rhombus
T
E R
TRUE
U
A quadrilateral where all sides have equal length.
Also :
*opposite sides are parallel
*opposite angles are equal
*and the diagonals of a rhombus bisect each other
at right angles
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21. Rectangle
L E
I F
LIFE
A quadrilateral where every angle is a right
angle (90°).
Also:
* opposite sides are parallel
* and opposite sides have equal length.
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22. F A
Square
R I
FAIR
A quadrilateral where all sides have equal length.
Also:
*every angle is a right angle (90°)
*and opposite sides are parallel.
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23. The Hierarchy of Quadrilaterals
In the hierarchy of quadrilaterals shown in the
above figures, a quadrilateral below another on the family
tree is a special case of the one above it. A rectangle, for
example, is a special case of a parallelogram. Thus, you
can say that a rectangle is a parallelogram but not that a
parallelogram is a rectangle (a parallelogram is only
sometimes a rectangle).
L E C E
I F I N
LIFE NICE
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24. Click all Quadrilaterals
in the set below.
Activities
Very Good!
You’ve got all of the QUADRILATERALS
in the set!!!
Click here if you got 4 correct answer…
Correct!
Correct! Correct!
Correct!
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25. Practice!
Which of the following label is a P R
possible name for the
quadrilateral on the right?
Choose your answer by clicking
the letter of your choice.
Y A
A RYAP Sorry! Click here for HELP
B PRAY Very Good!
C AYRP Sorry! Click here for HELP
D APRY Sorry! Click here for HELP
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26. Practice makes PERFECT!
Which of the following label is V
NOT a possible name for the O
quadrilateral on the right?
Choose your answer by clicking
the letter of your choice.
L
E
A VLOE Very Good!
B LOVE Sorry! Click here for HELP
C LEVO Sorry! Click here for HELP
D VELO Sorry! Click here for HELP
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27. One more?
Which of the following quadrilateral
below names LIKE?
Choose your answer by clicking
the letter of your choice.
K L K
A L I
B
I E
Back E Sorry! Click here for HELP
Sorry! Click here for HELP
K K E
Home C I D I L
Next
L E
Sorry! Click here for HELP Very Good!

28. No Peeking!
How many Quadrilaterals
can you find in the following figure?
Type your answer here
9 Click here to check your answer.
Click here for the solution.
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29. How many Quadrilaterals
can you find in the following figure?
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30. How far did you
learn?
Tell whether the statement is true or false by clicking your
answer. Good Luck…
All squares are rectangles.
True False
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31. See this one.
Tell whether the statement is true or false by clicking your
answer. Good Luck…
Some rectangles are squares.
True False
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32. Keep going!
Tell whether the statement is true or false by clicking your
answer. Good Luck…
Some trapezoids are squares.
True False
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33. Your doing great!!!
Tell whether the statement is true or false by clicking your
answer. Good Luck…
All rhombuses are squares.
True False
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34. For Greatness and
Beyond!!!
Tell whether the statement is true or false by clicking your
answer. Good Luck…
Not all squares are rectangles.
True False
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35. Sorry! your answer is wrong…
Analyze the figure below for
L E
help..
Rectangle
I F
LIFE
Square F A
R I
FAIR
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36. Sorry! your answer is wrong…
Analyze the figure below for
L E
help..
Rectangle
I F
LIFE
Square F A
R I
FAIR
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37. Sorry! your answer is wrong…
Analyze the figure below for
help..
Trapezoid
A M MATH
T H
Square F A
R I
FAIR
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38. Sorry! your answer is wrong…
Analyze the figure below for
help.. T
E R
Rhombus TRUE
U
F A
Square
R I
FAIR
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39. Sorry! your answer is wrong…
Analyze the figure below for
help.. F A
Square
R I
FAIR
L E
Rectangle
I F
LIFE
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40. Very Good!
You did a great job…..
A square has four right angles. A rectangle also has
four right angles. So a square is a rectangle. The
statement is true.
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41. Very Good!
You did a great job…..
A square has four right angles. A rectangle also has
four right angles. So a square is a rectangle. The
statement is true.
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42. Very Good!
You did a great job…..
A square has two sets of parallel sides, but a
trapezoid has only one set of parallel sides. The
statement is false.
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43. Very Good!
You did a great job…..
A rhombus has four congruent sides, but some may
or may not have right angles. The statement is false.
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44. Very Good!
You did a great job…..
A square has four right angles. A rectangle also has
four right angles. So a square is a rectangle. The
statement
is false.
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45. Web Links
Click the following interactive links on the
web for more interesting activities.
http://www.interactivestuff.org/match/maker.phtm
http://teams.lacoe.edu/documentation/classroom
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46. Great job pal……
See you soon…
Prepared: Mr. Alvin Patrick Q. Peñaflorida
Division of City Schools - Valenzuela
Home VALENZUELA NATIONAL HIGH SCHOOL