Identifying
Quadrilaterals
identify quadrilaterals
based on their properties.
Objectives
Today, we will learn how to
When you see
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time to take
notes in your
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Reminder
Before we start our lesson,
let’s sing the
Quadrilateral Song
(to the tune of Head, Shoulders, Knees and Toes)
Warm-Up
Squares, rectangles, trapezoids,
and rhombus,
Squares, rectangles, trapezoids,
and rhombus,
Shapes with 4 sides and angles,
Squares, rectangles, trapezoids,
and rhombus.
We learned about
quadrilaterals and their
properties in our last lesson.
Review
Let’s see if you can
remember them.
Which is a quadrilateral?
What kind of quadrilateral is it?
It’s a square.
What are the properties of a square?
All sides are equal.
All angles measure 90°.
Two pairs of opposite sides
are parallel.
Which is a quadrilateral?
What kind of quadrilateral is it?
It’s a rhombus.
What are the properties of a rhombus?
All four sides have the
same length.
Two pairs of opposite sides
are parallel.
Which is a quadrilateral?
What kind of quadrilateral is it?
It’s a trapezoid.
What are the properties of
this trapezoid?
It has at least one pair of
parallel sides.
Both legs are equal in length.
Which is a quadrilateral?
What kind of quadrilateral is it?
It’s a rectangle.
What are the properties of a rectangle?
Two pairs of opposite sides
are equal.
All angles are right angles.
Opposite sides are parallel.
Which is a quadrilateral?
What kind of quadrilateral is it?
It’s a parallelogram.
What are the properties of a
parallelogram?
Both pairs of opposite sides
are parallel.
Opposite sides are equal in
length.
Here are the quadrilaterals.
square
parallelogram
rectangle
trapezoid
rhombus
Now that you remember the
properties of different
quadrilaterals, let’s begin
with our lesson!
Sandy, Jopet,
Eric, Lisa, and
Hans are working
on their school
projects. Let’s
help them out!
Sandy is making
a picture frame
for her art project.
She needs to make a
quadrilateral with
four equal sides and
four right angles.
Which picture
frame on the right
is Sandy making?
Which frame has:
⃞4 equal sides?
⃞4 right angles?
Sandy is making a
square-shaped
picture frame!
⃞4 equal sides
⃞4 right angles
A square has:
⃞4 equal sides
⃞4 right angles
A square has:
⃞4 equal sides
⃞4 right angles
⃞two pairs of
parallel sides
A square has:
Jopet is designing a
garden plan for his
school project. He
drew a parallelogram
with four right angles
but only opposite
sides are equal.
Which garden plan
on the right did
Jopet draw?
Which garden plan has:
⃞2 pairs of parallel sides?
⃞4 right angles?
⃞only opposite sides equal in length?
Jopet drew
a rectangular garden plan.
A rectangle has:
⃞2 pairs of parallel sides
⃞4 right angles
⃞only opposite sides equal in length
A rectangle has:
⃞2 pairs of parallel sides
⃞4 right angles
⃞only opposite sides equal in length
A rectangle has:
⃞2 pairs of parallel sides
⃞4 right angles
⃞only opposite sides equal in length
Lisa is cutting out
colorful patterns for
classroom decoration.
She wants to cut
parallelograms with
equal sides but no right
angles.
Which among
the shapes
does Lisa want?
Which shape has:
⃞4 equal sides?
⃞no right angles?
⃞2 pairs of
parallel sides?
Lisa wants to cut
rhombus-shaped
patterns.
A rhombus has:
⃞4 equal sides
⃞no right angles
⃞2 pairs of
parallel sides
A rhombus has:
⃞4 equal sides
⃞no right angles
⃞2 pairs of
parallel sides
A rhombus has:
⃞4 equal sides
⃞no right angles
⃞2 pairs of
parallel sides
Time to work in trios!
Let’s help Lisa and Hans
find the shapes they need
for a school project.
Group Activity
Hans and Lisa need to study a set of
figures and their properties to present in
front of the class.
The following table shows the properties
of the shapes they are looking for.
Properties
Figures
F G H I J
Has four sides. ✔ ✔ ✔ ✔ ✔
Has four right angles. ✔ ✔
Sides are all equal. ✔ ✔
Opposite sides are equal. ✔ ✔ ✔ ✔
Only one pair of parallel sides. ✔
Two pairs of parallel sides. ✔ ✔ ✔ ✔
Properties
Figures
F G H I J
Has four sides. ✔ ✔ ✔ ✔ ✔
Has four right angles. ✔ ✔
Sides are all equal. ✔ ✔
Opposite sides are equal. ✔ ✔ ✔ ✔
Only one pair of parallel sides. ✔
Two pairs of parallel sides. ✔ ✔ ✔ ✔
Here’s what to do:
1. Study the table carefully.
2. Identify the figure with the given
properties.
3. Write the letter inside the figure.
4. Name the figure.
Let’s check
your answers!
trapezoid
Hans and Lisa need to study a set of
figures and their properties to present in
front of the class.
G H
square
rectangle
rhombus
F
parallelogram
I J
How are these
quadrilaterals similar?
Turn and Talk
These quadrilaterals
are similar because
these are all
parallelograms.
parallelograms
All four shapes
have two pairs
of parallel sides.
parallelograms
How do these shapes
differ from a trapezoid?
Turn and Talk
Unlike
parallelograms,
a trapezoid may
have only one pair
of parallel sides.
parallelograms
trapezoid
Now, try working on your own.
1. Read each situation.
2. Draw the shape of the
object that is described.
3. Name the shape.
Independent Work
Emma is flying a toy kite
at the park.
The kite has four equal
sides, but none of its
angles measures 90°.
What is the shape
of the kite?
Ben is using small tiles
to create a mosaic.
Each tile has four sides,
where the opposite
sides are equal,
and each angle is a
right angle.
What is the shape of
each tile?
Across her classroom,
Anna can see a door
with four equal sides
and equal angles.
What is the shape of
the door?
The mayor wants to
build a public
playground in a shape
with only one pair of
parallel sides.
What shape will the
playground be?
A construction worker is
laying bricks on a wall.
The wall is a quadrilateral
with opposite sides that
are equal and parallel,
but no right angles.
What is the shape
of the wall?
Let’s check
your answers!
Emma is flying a toy kite
at the park.
The kite has four equal
sides, but none of its
angles measures 90°.
What shape did
she find?
rhombus
Ben is using small tiles
to create a mosaic.
Each tile has four sides,
where the opposite
sides are equal,
and each angle is a
right angle.
What is the shape of
each tile?
rectangle
Across her classroom,
Anna can see a door
with four equal sides
and equal angles.
What is the shape of
the door?
square
The mayor wants to
build a public
playground in a shape
with only one pair of
parallel sides.
What shape will the
playground be?
trapezoid
A construction worker is
laying bricks on a wall.
The wall is a quadrilateral
with opposite sides that
are equal and parallel,
but no right angles.
What is the shape
of the wall?
parallelogram
Great job on working
independently!
Now, let's think about
these questions.
What quadrilateral do you
see more often?
Why do you think it is more
common than others?
Application
Let’s sum up what
we learned today!
Key Points
Quadrilaterals are
everywhere in our
daily lives!
We can identify
quadrilaterals based on
their properties.
Has four sides.
Has four right angles.
All sides are all equal.
Opposite sides are equal.
One pair of parallel sides.
Two pairs of parallel sides.
Here are the properties:
square
Has four sides.
Has four right angles.
All sides are all equal.
Opposite sides are equal.
One pair of parallel sides.
Two pairs of parallel sides.
Here are the properties:
rectangle
Has four sides.
Has four right angles.
All sides are all equal.
Opposite sides are equal.
One pair of parallel sides.
Two pairs of parallel sides.
Here are the properties:
rhombus
Has four sides.
Has four right angles.
All sides are all equal.
Opposite sides are equal.
One pair of parallel sides.
Two pairs of parallel sides.
Here are the properties:
parallelogra
m
Has four sides.
Has four right angles.
All sides are all equal.
Opposite sides are equal.
One pair of parallel sides.
Two pairs of parallel sides.
Here are the properties:
trapezoid
Has four sides.
Has four right angles.
All sides are all equal.
Opposite sides are equal.
One pair of parallel sides.
Two pairs of parallel sides.
Here are the properties:
Identifying quadrilaterals helps
us understand and interact with
the world, making it easier
to build, design, and appreciate
everyday objects.
Direction:
Quiz
Choose the correct shape(s) that match
the given property. There may be more
than one correct answer.
Which figure
has four
equal sides
but no
right angles?
Which figure
has only
one pair of
parallel
sides?
Which figures
have
opposite
sides that
are equal
and parallel?
Which figures
have four
right angles?
Which figures
have at least
one pair of
parallel
sides?
Let’s check
your answers!
Which figure
has four
equal sides
but no right
angles?
Which figure
has only
one pair of
parallel
sides?
Which figures
have
opposite
sides that
are equal
and parallel?
Which figures
have four
right angles?
Which figures
have at least
one pair of
parallel
sides?
Let's wrap up with an
exit activity.
Exit Activity
Think about this:
The most challenging
part of this lesson is...
Think about this:
The most enjoyable
part of this lesson is...

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