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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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Rectangle- a parallelogram whose angles

are all right angles.

Square- a parallelogram whose sides and

angles are all congruent.

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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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The diagonals of a rectangle have equal lengths.

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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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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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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


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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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.


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

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

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

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

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).

EnrichmentNEXT PAGE

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.

EnrichmentNEXT PAGE

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

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

Enrichment Card

Answer for Enrichment # 1

1.All2.No3.No4.Some5.No

6. Some7. All8. Some9. All10.Some

Answer Key CardNEXT PAGE

Answer for Enrichment # 2

Answer Key CardNEXT PAGE

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

Reference Card

Reference Card

Website

http://en.wikipedia.org/wiki/Quadrilateral

http://www.basic-mathematics.com/types-of-quadrilaterals.html

http://en.wikipedia.org/wiki/Quadrilateral




Activity

A1.Square

2.Rhombus

3.Rectangle

4. Parallelogram

5. Trapezoid


Bi.

r.

o.

m.

r.

r.

5 3 2 6 1 4 M I R O R

Activity

A1.Square

2.Rhombus

3.Rectangle

4. Parallelogram

5. Trapezoid


Bi.

r.

o.

m.

r.

r.

5 3 2 6 1 4 I R O

Activity

A1.Square

2.Rhombus

3.Rectangle

4. Parallelogram

5. Trapezoid


Bi.

r.

o.

m.

r.

r.

5 3 2 6 1 4 R O

Activity

A1.Square

2.Rhombus

3.Rectangle

4. Parallelogram

5. 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


Bi.

r.

o.

m.

r.

r.

5 3 2 6 1 4 O

Activity

A1.Square

2.Rhombus

3.Rectangle

4. Parallelogram

5. Trapezoid


Bi.

r.

o.

m.

r.

r.

5 3 2 6 1 4 I R O R

Oops please try again.

You don’t know the

square….?


A rhombus..!


You don’t know the

rectangle..!?


A parallelogram..

!


A trapezoid…

?


You don’t know the right-angled

trapezoid..!?

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