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Prepared by:
M LRA DI E
M
s u o b i r o n
III-1
Kapitolyo High School Batch 2011-2012
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difference between the kinds of quadrilaterals.
Objectives:At the end of this lesson you must
learn :
how to define the quadrilaterals.
must able to know the kinds of quadrilaterals.
What would I learn after this lesson?
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Title Card
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Do you know the quadrilaterals?
Yes.!
Can you help me to my assignment about quadrilaterals?
Of course..!
I also know that..!
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Quadrilaterals is a four-sided polygon.
Rectangle, square, rhombus, trapezoid
and parallelogram are the kinds of it.
Ok, thank you, now I understand what is
quadrilateral and I can answer in our class tomorrow.
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Quadrilaterals
The four segments formed by these
points are called its sides.
is a four-sided polygon. To illustrate a quadrilateral,
four points are needed no three of which are collinear
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Quadrilateral is denoted by the symbol The origin of the
word quadrilateral is from the two Latin words quadri, a variant of four, and latus meaning "side."
Four points are called the vertices
Quadrilaterals
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Example
I C
AM
MI , IC , CA , and AM are the sides of MICAMIC , ICA , CAM , and AMI are the angles and could also be denoted as M , I , C and A
Quadrilaterals
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A quadrilateral is convex if no two of its vertices lie on the opposite sides of a line containing a side of
the quadrilateral.
Example
Convex
Quadrilaterals
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Non Convex
Quadrilaterals
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Ma’am, a diagonal of a quadrilateral is a
segment joining two nonconsecutive vertices.
What is diagonal of a quadrilateral?
You’re right..! Can you give an example in the blackboard.
Ok Ma’am.
Quadrilaterals
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A
B C
D
AC and BD are diagonals of ABCD.Diagonals of quadrilaterals divide
the quadrilateral into two triangles.
The sum of the measure of the angles of a quadrilateral is 360˚
Quadrilaterals
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Kinds of Quadrilaterals
Parallelogram- a quadrilateral with two
pairs of opposite sides which are parallel.
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Kinds of Quadrilaterals
Rectangle- a parallelogram whose angles
are all right angles.
Square- a parallelogram whose sides and
angles are all congruent.
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Kinds of Quadrilaterals
Rhombus- a parallelogram whose sides are
equal lengths and whose angles are oblique.
An oblique angle is an acute or an obtuse angle.
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Kinds of Quadrilaterals
The diagonals of a rectangle have equal lengths.
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Kinds of Quadrilaterals
The diagonals of a rhombus are
perpendicular to each other.
The diagonals of a square are
equal and perpendicular to
each other.
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Kinds of Quadrilaterals
Two sides (lines) are parallel if they lie on the same plane and do
not met how far they are extended.
The sides of a trapezoid that are
parallel are its bases.
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Kinds of Quadrilaterals
The non-parallel sides of trapezoid are its legs and the legs of an isosceles
trapezoid are equal.
The segment joining the midpoints of non-parallel sides is the
median.NEXT PAGE
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Kinds of Quadrilaterals
Any segment drawn from the upper base
perpendicular to the lower base is its altitude.
A
B C
D
E F
G
ABCD is a trapezoid.AD and BC are the bases.AB and CD are its legs.EF is the median.CG is the altitude.
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Kinds of Quadrilaterals
Trapezoid- a quadrilateral with one
pair of opposite sides which are parallel.Scalene trapezoid or Trapezium
- a scalene trapezoid is a trapezoid with no equal sides.
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Right - angled Trapezoid- a right-angled trapezoid is a
trapezoid with two right angles.
Kinds of Quadrilaterals
Isosceles Trapezoid- a trapezoid with two non-parallel
sides that are congruent.
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cActivity Card
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Activity
Identify the quadrilateral in Column A and click the letter of the correct answer in column B. Each answer corresponds to a letter or a code of the magic word or answer.
Find the Magic Word
I can make copy of oneself, but I can neither a printer nor a camera.
I portray right as left and left as right.Even if I am broken , I can make the same.
What am I?
Activity 1
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4
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Activity
Activity 2Using quadrilateral MACK, identify :
M
A
K
C1. Two pairs of opposite angles
2. Two pairs of opposite sides
3. One pair of diagonals
4. Two pairs of opposite vertices
5. Four pairs of consecutive sides
6. Four pairs of consecutive anglesNEXT PAGE
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Student’s Note
Student’s NotePlease check the things you learn and understand
after you read this lesson.
I now understand :The definition of quadrilateral.
The kinds of quadrilaterals.
Identify the bases and legs of a trapezoid.
Identify the median and altitude of a trapezoid.
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Identify the diagonals of a quadrilateral.
Identify the two non-parallel sides quadrilateral.
Identify the kinds of parallelogram quadrilateral.
Identify the kinds of trapezoid quadrilateral.
Student’s NoteNEXT PAGE
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Student’s Note
The activities have been :
Easy
Medium
Difficult
Now, I can do the activities :
Alone
With one companion to work with
Within a group
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Enrichment Card
EnrichmentNEXT PAGE
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Enrichment # 1
Write All, Some, or No on the blanks to complete the sentences.
1. _____ parallelograms are also quadrilaterals.
2. _____ rhombus (rhombi) are squares.3. _____ rectangles are rhombuses
(rhombi).4. _____ squares are rhombuses
(rhombi).
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5. _____ parallelograms are also trapezoids.
6. _____ squares are parallelograms.7. _____ trapezoids are quadrilaterals.8. _____ trapezoids are isosceles.9. _____ squares are rectangles.10. _____ parallelograms are squares.
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Enrichment
Enrichment # 2
Using a circle with eight evenly spaced points around the edge, draw quadrilaterals you can found. There are eight quadrilaterals you need to find.
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Answer Key Card
The Answer
Key CardNEXT PAGE
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Activity Card Answer for Activity Card # 1
M I R R O R 5 3 2 6 1 4
Answer for Activity Card # 2
1. A & K, M & C
2.AC & MK, AM & CK
3.AK & MC
4.A & K, M & C
5. MK & KC, KC & CA,
CA & AM, AM & MK6. K & C, C & A,
A & M, M & KAnswer Key CardNEXT PAGE
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Enrichment Card
Answer for Enrichment # 1
1.All2.No3.No4.Some5.No
6. Some7. All8. Some9. All10.Some
Answer Key CardNEXT PAGE
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Answer for Enrichment # 2
Answer Key CardNEXT PAGE
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Reference Card
Books
Geometry, Revised Edition (NPSBE) Dilao , Soledad J. et al, SD Publications , Inc. Quezon City, 2009
Politico, Jose, et al ,Geometry III . 373 Quezon Avenue, Quezon City . BOOKMAN, INC. 2003
Reference CardNEXT PAGE
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Reference Card
Reference Card
Website
http://en.wikipedia.org/wiki/Quadrilateral
http://www.basic-mathematics.com/types-of-quadrilaterals.html
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4 M I R O R
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4 I R O
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4 R O
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4 M I R R O R
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4 O
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Activity
A1.Square
2.Rhombus
3.Rectangle
4. Parallelogram
5. Trapezoid
6. Right-angled Trapezoid
Bi.
r.
o.
m.
r.
r.
5 3 2 6 1 4 I R O R
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Oops please try again.
You don’t know the
square….?
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Oops please try again.
A rhombus..!
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Oops please try again.
You don’t know the
rectangle..!?
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Oops please try again.
A parallelogram..
!
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Oops please try again.
A trapezoid…
?
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Oops please try again.
You don’t know the right-angled
trapezoid..!?