## Process

Parallelogram

Rhombus

Trapezoid

Rectangle and Square

Kite

Sites to Explore

Parallelogram

http://www.mathopenref.com/parallelogram.html

Rhombus

Trapezoid

http://www.mathopenref.com/trapezoid.html

Rectangle

Square

http://www.mathopenref.com/square.html

Kite

Crime 1

Several witnesses saw a culprit running from polygon city bank.  Nobody got a perfect look at the guilty party, but we should be able to solve the crime by combining all the informatin available.  Take the statements from these three individuals and see if you can solve the crime.

Witness 1 -- "I did not get a great look at the polygon that committed this crime, but I am sure that the diagonals were congruent."

Witness 2 -- "As the robber was exiting the building, I saw that there was one pair of oppostie sides that were both congruent and parallel."

Witness 3 --  "I was very close to the suspect as they left the scene of the crime.  I got a good look at the angle at which the diagonals of this character met.  The diagonals were intersecting at a 70 degree angle."

Crime 2

Some thief has taken a necklace from old Mrs. Hexagon.  The culprit ran off very fast, but not before some bystanders got a look at the culprit.

Witness 1 (Mrs. Hexagon) -- "It all happened so fast!  All I can tell you is that the thief had congruent diagonals."

Witness 2 -- "As this individual was fleeing the scene fo the crime, I saw a pair of parallel sides.  I did not get a look at the other pair of sides, so I'm not sure if there were two pairs or not."

Witness 3 --  "I did not notice if the sides were parallel or not, but I saw a pair of opposite sides that were definately not congruent."

Crime 3

Someone used spray paint to put graffiti on the wall outside the shape shack, a local burger joint for polygons.  While there were not many people there at the time, there were a few witnesses who were able to help with the investigation.

Witness 1 -- "All I can tell you is that shape I saw leaving had two pairs of congruent sides."

Witness 2 -- "From what I saw, the diagonals for this hoodlum were perpendicular."

Witness 3 --  "I saw one pair of opposite sides on this character, and I can tell you this...The opposite sides I saw were not equal in length."

Parallelogram

http://www.mathopenref.com/parallelogram.html

Trapezoid

http://www.mathopenref.com/trapezoid.html

Rectangle

Square

http://www.mathopenref.com/square.html

Kite