Ms. Liefland @ Harper Junior High: Geometry: 1/28 thru 2/1

Tuesday, January 29, 2013

Geometry: 1/28 thru 2/1

Monday - 1/28

HW: 7-64, 66, 67, 68, 70

USING CONGRUENT TRIANGLES IN A PROOF

Every statement needs a reason
Reasons can be:

Given
Properties (i.e. reflexive)
Definitions (see notes below)
Theorems/ "facts" that we know to be true (i.e. vertical angles are congruent or CPCTC)

If the proof involves congruent triangles, then you need to find out how you can prove that they are congruent, and IMMEDIATELY after that we can say CPCTC which means corresponding parts of congruent triangles are congruent. (i.e. a pair of sides or angles in the triangle)

Monday's Notes can be downloaded here:

https://dl.dropbox.com/u/40810525/Definitionsquads.docx
These are definitions of quadrilaterals. Definitions can be used in proofs as reasons.

Tuesday - 1/28
HW: 7-85 (see hint below)

2 comments:

AnonymousJanuary 30, 2013 at 5:23 PM
can you update the homework more frequently??
ReplyDelete
Replies
AnonymousFebruary 3, 2013 at 9:15 AM
This text is priceless. How can I find out more?
My web-site ; the diet solution
ReplyDelete
Replies

Add comment

Write your comment here.

Quote Wall

The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colors or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in this world for ugly mathematics.

- G. H. Hardy (1877 - 1947), A Mathematician's Apology, Cambridge University Press, 1994.

"Legend has it that the Pythagorean philosopher Hippasus used geometric methods to demonstrate the irrationality of while at sea and, upon notifying his comrades of his great discovery, was immediately thrown overboard by the fanatic Pythagoreans."

It seems to me now that mathematics is capable of an artistic excellence as great as that of any music, perhaps greater; not because the pleasure it gives (although very pure) is comparable, either in intensity or in the number of people who feel it, to that of music, but because it gives in absolute perfection that combination, characteristic of great art, of godlike freedom, with the sense of inevitable destiny; because, in fact, it constructs an ideal world where everything is perfect but true.

- Bertrand Russell (1872-1970), Autobiography, George Allen and Unwin Ltd, 1967, v1, p158

Gauss: You have no idea how much poetry there is in the calculation of a table of logarithms!

-Jane Muir, Of Men & Numbers, Dover, 1996.