Today’s Lesson:
What:
Quadrilaterals
Why:
To introduce basic geometry vocabulary
and focus on quadrilateral relationships.
What do you remember??
Prior Knowledge/ Essential Vocabulary . . .
same size and
Congruent– objects that are the __________
shape.
Line— goes ________________
in both directions. (⟷ )
forever
one direction. ( ⟶ )
Ray— goes forever in _________
Line Segment– has both a beginning and
an _______.
end ( ─ )
Parallel Lines– two or more lines that will never
intersect . ( | | )
________________
Perpendicular – two line segments/ lines that meet
right
in such a way that ___________
angles are formed. (⏊)
Prior Knowledge/ Essential Vocabulary . . .
point where two line segments meet.
Vertex — __________
lines come together
Angle— formed when two _________
at the same vertex.
90° .
less than ______
Acute Angle— measures ________
more than ______
90° .
Obtuse Angle–measures ________
90° .
Right Angle– measures exactly ______
Prior Knowledge/ Essential Vocabulary . . .
3 or
Polygon— simple, closed figure formed by _____
segments . Polygons
more line ________________
curved .
are NOT __________
Adjacent Sides— two sides of a polygon that share
vertex (side-by-side).
the same ___________
across
Opposite Sides— sides that are directly ______________
from one another.
Opposite Angles– angles directly across the figure–
adjacent
NOT __________________.
angles .
Diagonal– line that connects two opposite _____________
Side AB is adjacent to both BC and AD!
Side AB is opposite to DC!
Examples of “Congruency” and
“Parallel” Notation:
congruent
parallel
QUADRILATERALS:
Quadrilateral:
I am ANY closed figure
4 sides and 4
with ____
angles!
Trapezoid:
I have ONE set of
parallel
__________________
sides!
Kite
Parallelogram:
My opposite sides are BOTH
congruent
parallel AND _____________!
____________
Rectangle:
Rhombus:
I am a parallelogram that
right angles!
MUST have 4 __________
I am a parallelogram that MUST
congruent sides!
have 4 ________________
Square:
rectangle because I
I am BOTH a rhombus and a _____________
have BOTH 4 right angles and 4 congruent sides!!
Special properties of the
...
Parallelogram:
I have TWO SETS of
parallel sides!!
Trapezoid:
Whatever! I only
have ONE set of
parallel sides!
If a quadrilateral is a parallelogram, then it also has . . .
1) opposite sides
congruent
_____________________
angles
2) opposite _________________
congruent
diagonal that splits
3) _________________
figure into two congruent
triangles (bisects figure)
4) diagonals that
bisect eachother
______________
Remember, if the above is true for a parallelogram, then it is
ALL of the parallelograms (rectangle,
also true for __________
rhombus, and square)!!!
Quadrilateral
SORTING LAB
(teacher will give directions)
How ARE quadrilaterals rELATED?
ALWAYS UP,
SOMETIMES DOWN,
NEVER SIDE-to-SIDE!
Every quadrilateral has four angles that add up to 360
_____degrees!
Some more handy visuals . . .
STUDY THIS!
Some more handy visuals . . .
The isosceles trapezoid has
ONE SET of opposite sides
congruent!
STUDY THIS
TOO!
homework
IXL: 7th Grade, X.8
Smart Score of 100
Spend at least 15 min.
May stop if above 90!
END OF LESSON
The next slides are student copies of the
notes/handouts for this lesson. These were handed
out in class and filled-in as the lesson progressed.
Name:____________________________________________________________________________________Date:_____/_____/__________
Directions: Spread out your quadrilateral pieces with the letters facing up so you can see them.
Then, fill out the chart, by finding all of the quadrilaterals with that specific requirement, list them by
letter alphabetically, and identify their name. Then put all the shapes back in the center and
move on to the next characteristic.
Characteristic:
1.
Has 4 right angles
2.
Has exactly ONE pair of
parallel sides
3.
Has two different pairs of
opposite sides congruent
4.
Has two different pairs of
adjacent sides congruent
5.
Has TWO sets of parallel sides
6.
Has all 4 sides congruent
7.
Has no sides congruent
8.
Has opposite sides congruent
9.
Has BOTH 4 congruent sides
AND 4 right angles
List ALL figure letters
that have this
characteristic:
Name of Quadrilaterals (most will
have more than one name):
Extra Questions:
10. Pull out quadrilaterals A, B, D, E, G, and K. What name best describes ALL of these quadrilaterals?
11. Pull out quadrilateral A. What is the best name for this quadrilateral? _______________________________
Now, what other names could also describe figure A?
______________________________________________________________________________________________________________
12. Pull out quadrilateral K. What is the best name for this quadrilateral? ______________________________
Now, what other names could also describe figure K?
______________________________________________________________________________________________________________
NAME:
DATE: ______/_______/_______
Math-7 NOTES
What: Quadrilaterals
Why: To introduce basic geometry vocabulary and focus on quadrilateral
relationships.
Prior Knowledge/ Essential Vocabulary:
Congruent– objects that are the __________ size and
shape (
)
Line— goes ________________ in both directions. (⟷ )
Ray— goes forever in _________ direction. ( ⟶ )
Line Segment– has both a beginning and an _______. ( )
Parallel Lines– two or more lines that will never ________________ . ( I I )
Perpendicular – two line segments/ lines that meet in such a way that
___________ angles are formed. ( )
Vertex — __________ where two line segments meet.
Angle— formed when two _________ come together
at the same vertex.
Acute Angle— measures ________ than ______ .
Obtuse Angle–measures ________ than ______ .
Right Angle– measures exactly ______ .
Polygon— simple, closed figure formed by _____ or more line __________ .
Polygons are NOT __________ .
Adjacent Sides— two sides of a polygon that share the
same ___________ (side-by-side).
Opposite Sides— sides that are directly ________________
from one another.
Opposite Angles– angles directly across the figure– NOT
__________________.
Diagonal– line that connects two opposite _______________ .
Side AB is adjacent to both BC and AD!
Side AB is opposite only to DC!
Congruency versus parallel marks . . .
QUADRILATERALS:
Special properties of the
...
Trapezoid:
Whatever! I only
have ONE set of
parallel sides!
Parallelogram:
I have TWO SETS of
parallel sides!!
If a quadrilateral is a parallelogram, then it also has . . .
1) opposite sides _____________________
2) opposite _________________ congruent
3) _____________ that splits figure into two
congruent triangles (bisects figure)
4) diagonals that ______________ eachother
Remember, if the above is true for a parallelogram, then it is also true for __________ of the
parallelograms (rectangle, rhombus, and square)!!!
How are Quadrilaterals related?
ALWAYS UP,
SOMETIMES DOWN,
NEVER SIDE-to-SIDE!
Every quadrilateral has four angles that add up to __________ degrees!
Some more handy visuals . . .
STUDY THESE!
The isosceles trapezoid
has ONE SET of opposite
sides congruent!
IXL: X.8 Smart Score of 100
Name:__________________________________________________________________________________ Date: _____/_____/__________
“Quadrilateral Characteristics”
True or False (correct “False” answers in order to make them “True”):
1) _____ Every square is also a rhombus.
2) _____ Every rhombus is also a square.
3) _____ Every rectangle is a parallelogram.
4) _____ Parallelograms have opposite sides that are perpendicular.
5) _____ A square is a special type of trapezoid.
6) _____ Not all rectangles are squares.
7) _____ It is impossible for a square to also be a rectangle.
8) _____ A trapezoid is a parallelogram.
9) _____ Every trapezoid is also a quadrilateral.
10) _____ A quadrilateral can have more than four angles.
11) _____ The trapezoid is the only quadrilateral that is NOT a
parallelogram.
12) _____ SpongeBob has square pants.
Name:____________________________________________________________________________________Date:_____/_____/__________
“Analyzing Quadrilaterals”
Circle the choice that makes the following statements true:
1.
A rectangle is a parallelogram.
A. Sometimes
B. Always
C. Never
2.
A parallelogram is a rectangle.
A. Sometimes
B. Always
C. Never
3.
A rectangle is a square.
A. Sometimes
B. Always
C. Never
4.
A trapezoid is a parallelogram.
A. Sometimes
B. Always
C. Never
5.
A square is a rhombus.
A. Sometimes
B. Always
C. Never
6.
A rhombus is a square.
A. Sometimes
B. Always
C. Never
7.
A kite is a trapezoid.
A. Sometimes
B. Always
C. Never
8.
A rhombus is a rectangle.
A. Sometimes
B. Always
C. Never
Circle ALL of the choices that could make the following statements true:
9.
10.
11.
12.
13.
A quadrilateral with exactly four congruent
(equal) sides.
A quadrilateral with exactly four right angles.
A quadrilateral with two sets of parallel sides.
A quadrilateral with exactly one set of parallel
sides.
A quadrilateral with two different sets of
opposite, congruent sides.
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
14.
15.
16.
A quadrilateral with two different sets of adjacent,
congruent sides.
A quadrilateral with opposite sides congruent.
A quadrilateral that does NOT have to contain
right angles.
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Circle ALL of the choices that represent the following figures:
17.
18.
19.
Circle ONE CHOICE that represents the BEST DESCRIPTION for each of the below figures (ONE choice):
20.
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
21.
22.