1.opener a-c) true or false? if false, provide the counterexample
DESCRIPTION
1. Day 7. 1.Opener a-c) True or false? If false, provide the counterexample. a)Three lines must intersect at three points. b)Two acute angles can never be supplementary. c)Every line has a midpoint. d)What is m ? e)What is the midpoint between (2,-12) and (-4, -10)? - PowerPoint PPT PresentationTRANSCRIPT
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1. Openera-c) True or false? If false, provide the counterexample.
a) Three lines must intersect at three points.
b) Two acute angles can never be supplementary.
c) Every line has a midpoint.
d) What is m ?
e) What is the midpoint between (2,-12) and (-4, -10)?
f) Draw the picture.
g) How much is Central Park worth?
1140°
Day 7
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POLYGONS
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POLYGONA closed figure in a plane, formed by
connecting line segments endpoint to endpoint with each segment intersecting exactly two others.
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Anatomy of a Polygon
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DIAGONALA line segment connecting two
nonconsecutive vertices of a polygon or polyhedron.
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CONVEXA polygon with no diagonal outside
the polygon.
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CONCAVEA polygon with at least one diagonal
outside the polygon.
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EXAMPLE
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2. Group DefinitionsPolygons
Not Polygons
A closed figure in a plane, formed by connecting line segments, where each segment intersects exactly two others.
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2. Group DefinitionsConvex Polygons
Concave Polygons
A polygon is convex if no diagonal is outside the polygon. A polygon is concave if at least one diagonal is outside the polygon.
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2. Group Definitions
What We Can WriteABCD
BCDACDABDABC
What We Can’t Write
DBCAADBC
A
B
C
D
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CAMP SITE
MACP TISE
PMAC TISE
ACPM ETIS
2. Group DefinitionsCongruent Polygons
C
P
M
A
E
T
I
S
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2. Group DefinitionsWhich polygon is congruent to ABCD? Write the congruency statement?
ABCDE QLMNP
100130 130
100130 130
A
E
D C
B
Q
P
N M
L
F
G
HJ
K
B
C
SF
G
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2. Group DefinitionsEquilateral Polygons
Equiangular Polygons
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2. Group DefinitionsRegular Polygons
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3. CW/HW 7.1 Polygons and 3.4
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1. Quiz Review
a) Name each of these three shapes.
b) The endpoint A of AB is at (1,3). The midpoint is at (4,8). Where is B? Graph them.
c) Find the three quarterpoints along AB where A = (2,4) and B = (10, -4).
d) What is m ?
e) What is the midpoint between (3,-10) and (-5, -10)?
f) Name the angle <2 in every way you can:
g) Define collinear?
1135°
Day 8
B
PM
2
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2. Classwork
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3. Notes - Drawing Congruent PolygonsFind the missing point given ABC LFP
A
B
CL
F
P
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4. HomeworkReview for the Quiz; 9.1 Quadrilaterals toolkit Due on Friday
5. Quiz Tomorrow