Transcript Where n = number of sides

A
Given:
B
D
C
AD is parallel to BC
m< D = 8x + 20
<A and <D are supplementary
m<A = 150 – 6x
150 - 6x + 8x +20 = 180
m<C = 12x + 60
x=5
m<D = 60
Find x
m<A = 120
Find m<B
m<C = 120
Is AB parallel to DC?
Since <D is supplementary to
<A, AB is parallel to DC.
5.4 Four-Sided Polygons
5.4
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You will present 5.4 with your classmates
MUST INCLUDE ALL VOCABULARY WORDS
You will have all period and 20 minutes
tomorrow for your presentation
Brainstorm different ideas:
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PowerPoint
Song
Poster
Notebook in Smartboard Software
Game
Worksheet
YOU WILL BE GRADED FOR THIS ASSIGNMENT!
Presentation
Vocabulary
Terms
Creativity
Example Proof
5
4
3
2
1
Well Spoken and
Clearly Organized –
Full Participation
Organized and Clear
– Full Participation
Correct information
– point came across
– mostly everyone
participated
Some Incorrect
information –
unorganized – less
than half
participated
Incorrect
information –
unorganized –
unclear – only one
person participated
5
4
3
2
1
Organized, clear,
correct
All vocabulary terms
presented
Contains the correct
information, few
mistakes, organized,
all vocabulary words
presented
Mostly correct,
contains some
errors, main idea
Incorrect
information,
unorganized,
unclear
No vocabulary
terms
5
4
3
2
1
Extreme Creativity!
Above Average
Creativity
Average Creativity
Below Average
Creativity
No Creativity
5
4
3
2
1
All information
correct
Few Errors
Average Proof –
More than a few
mistakes
Frequent mistakes
No proof
Polygons:
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Many sided figures
Straight line segments
Consecutive sides intersect at endpoints
Each vertex belongs to only two sides
Name polygons by their
sides, either clockwise or
counter clock wise.
Convex Polygons: A polygon in which each interior
angle has a measure less than 180 degrees.
no
yes
Diagonals: a diagonal of a
polygon is any segment that
connects two non-consecutive
(nonadjacent) vertices of a
polygon.
Formula for diagonals:
D = n(n-3)
2
Where n = number of sides
Quadrilaterals: 4 sided
polygons.
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Parallelogram: both pairs of opposite sides
are parallel
Rectangle: at least one right angle
Rhombus: at least two consecutive sides are
congruent
Kite: two disjointed pairs of consecutive
sides are congruent
Square: parallelogram that is a rectangle and
a rhombus
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Trapezoid: a quadrilateral with exactly
one pair of parallel sides. Parallel sides
are called the bases of the trapezoid
Isosceles trapezoid: trapezoid in which
non-parallel sides (legs) are congruent.
Base angles are lower and upper base
angles.