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
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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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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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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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
Back Home
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