1.Opener a-c) True or false? If false, provide the counterexample. a)Three lines must intersect at...

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

POLYGONS

POLYGONA closed figure in a plane, formed by

connecting line segments endpoint to endpoint with each segment intersecting exactly two others.

Anatomy of a Polygon

DIAGONALA line segment connecting two

nonconsecutive vertices of a polygon or polyhedron.

CONVEXA polygon with no diagonal outside

the polygon.

CONCAVEA polygon with at least one diagonal

outside the polygon.

EXAMPLE

2. Group DefinitionsPolygons

Not Polygons

A closed figure in a plane, formed by connecting line segments, where each segment intersects exactly two others.

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.

2. Group Definitions

What We Can WriteABCD

BCDACDABDABC

What We Can’t Write

DBCAADBC

A

B

C

D

CAMP SITE

MACP TISE

PMAC TISE

ACPM ETIS

2. Group DefinitionsCongruent Polygons

C

P

M

A

E

T

I

S

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

2. Group DefinitionsEquilateral Polygons

Equiangular Polygons

2. Group DefinitionsRegular Polygons

3. CW/HW 7.1 Polygons and 3.4

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

2. Classwork

3. Notes - Drawing Congruent PolygonsFind the missing point given ABC LFP

A

B

CL

F

P

4. HomeworkReview for the Quiz; 9.1 Quadrilaterals toolkit Due on Friday

5. Quiz Tomorrow