1.6 – Classify Polygons

Polygon:

2. No sides overlap

3. No curved sides

1. Has at least 3 sides

Side: Line segment forming the polygon

M

T

SR

Q

QM

MT

TS

SR

RQ

Vertex: Point where two sides meet

M

T

SR

Q

M

T

S

R

Q

Consecutive Sides: Two sides that share a point, one after the other

M

T

SR

Q

and MTQM

and QRQM

Diagonal: Segment that joins two nonconsecutive sides

M

T

SR

Q

QT

QS

MS

MR

TR

# of sides Name Notation

3

4

5

trianglequadrilateral

pentagon

ABCQuad BDACPent ADECB

A

B

C

A

B

C

D

A

B

C

D

E

# of sides Name Notation

3

4

5

6

7

8

9

10

11

12

n

trianglequadrilateral

pentagonhexagon

heptagonoctagon

nonagondecagon

? Extra Credit!dodecagonn-gon

ABCQuad BDACPent ADECB

HexHeptOct

11-gon

Convex: Passes the rubberband test

Concave: Not convex! Think of a cave going inward!

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

Curved side

Yes, Concave or Convex

OR

No, _________________

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

Yes, Concave or Convex

OR

No, _________________

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

Yes, Concave or Convex

OR

No, _________________

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

Yes, Concave or Convex

OR

No, ____________________Overlaps

Equilateral Equiangular Regular

All sides are congruent

All angles are congruent

All sides AND all angles are congruent

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Regular

Hexagon

All sides and angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Regular

quadrilateral

All sides and angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Equiangular

Octagon

All angles , but not all sides

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

equilateral

decagon

All sides , but not all angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Regular

Heptagon

All sides and angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Equilateral

Quadrilateral

All sides , but not all angles

3. The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x – 6 and 4x + 22. Find the length of a side of the quadrilateral.

8x – 6

4x + 22

8x – 6 = 4x + 22

4x – 6 = 22

4x = 28

x = 7

Side Length = 8(7) – 6 = 50ft

HW Problem

# 40a (hexagon)

1.6 44-47 1-13 odd, 14, 15-27 odd, 37, 40(a only), 41

6 9