Transcript Parallelogram

Name:________________________________________________________________________________Date:_____/_____/__________
Spiral Back:
Evaluate the following when x = -2 and y = 3
1) -4y – x + (3+ x2)
Let’s see
what you
remember!
Solve the following equations:
2)
x – 6 = -20
3)
2x – 2 = -16
4)
3
4
x = 10
5) When multiplying or dividing by a _________________ number, we
SWITCH the inequality sign!
Solve AND graph the following inequalities (SWITCH SIGN when
needed):
6)
x + 3 > -7
7)
-5x ≥ 20
8)
-4 <
𝑥
2
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 __________
3 sides.
Triangle — _____
4 sides.
Quadrilateral — _____
Pentagon — _____
5 sides.
6 sides.
Hexagon— _____
7 sides.
Heptagon — _____
8 sides.
Octagon — _____
9 sides.
Nonagon — _____
Decagon — _____
10 sides.
Adjacent Sides— two sides of a polygon that share
the same ___________
vertex (side-by-side).
opposite
Opposite Sides— sides that are directly ______________
from one another.
Quadrilateral Vocabulary . . .
Vocabulary:
4 angles.
4 sides and ________
Quadrilateral– closed figure with ______
Trapezoid– has one pair of ____________
parallel sides.
parallel and opposite sides
Parallelogram– opposite sides ___________
congruent
____________. The diagonals in every parallelogram
_____________
bisect eachother (cuts shape into 2 equal
parts).
Rectangle– parallelogram with 4 __________
right angles.
congruent sides.
Square– parallelogram with 4 right angles and 4 ______________
Rhombus– parallelogram with 4 congruent ___________
sides .
360 degrees in every quadrilateral!
There is a total of ___________
Quadrilaterals . . . How ARE they rELATED?
ALWAYS UP,
SOMETIMES DOWN,
NEVER SIDE-to-SIDE!
Quadrilateral
SORTING LAB
(teacher will give directions)
Examples of “Congruency” and “Parallel”
Notation:
congruent
parallel
Quadrilateral characteristics . . .
Only 1 set of
parallel
sides
2 sets of
parallel
sides
Kite
√
√
√
4 congruent
sides
√
√
√
√
2 sets of
congruent
sides
√
√
Opposite
angles
congruent
√
√
√
√
Diagonals
bisect the
figure
√
√
√
√
MUST have
4 right
angles
Trapezoid
Square
Rhombus
Rectangle
Parallelogram
Place a check mark in the appropriate boxes:
√
√
√
END OF LESSON
The next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow
represent the homework assigned for that day.
NAME:
Math-7 NOTES
DATE: ______/_______/_______
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 __________ .
Triangle — _____ sides.
Quadrilateral — _____ sides.
Pentagon — _____ sides.
Hexagon— _____ sides.
Heptagon — _____ sides.
Octagon — _____ sides.
Nonagon — _____ sides.
Decagon — _____ sides.
Adjacent Sides— two sides of a polygon that share the
same ___________ (side-by-side).
Opposite Sides— sides that are directly ________________
from one another.
Quadrilateral Vocabulary:
Quadrilateral– closed figure with ______ sides and ________ angles.
Trapezoid– has one pair of ____________ sides.
Parallelogram– opposite sides ___________ and opposite sides ____________. The diagonals
in any parallelogram _________________ eachother (cuts shape into 2
equal parts).
Rectangle– parallelogram with 4 __________ angles.
Square– parallelogram with 4 right angles and 4 ______________ sides.
Rhombus– parallelogram with 4 congruent ___________ .
There is a total of ___________ degrees in every quadrilateral!
HOW ARE quadrilaterals RELATED?
ALWAYS UP,
SOMETIMES DOWN,
NEVER SIDE-to-SIDE!
Examples of “Congruency” and “Parallel” Notation:
4 sides
congruent
Matching tick
marks mean those
sides are
_________________.
Top congruent
to bottom/
Left congruent
to right . . .
Matching arrow
marks mean those
sides are
_________________.
Top parallel to bottom/
Left parallel to right . . .
Quadrilateral characteristics . . .
Place a check mark in the appropriate boxes:
Parallelogram
Only 1 set of
parallel sides
2 sets of
parallel sides
4 congruent
sides
2 sets of
congruent sides
Opposite angles
congruent
Diagonals
bisect the figure
MUST have 4
right angles
Rectangle
Rhombus
Square
Trapezoid
Kite
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.