What do they mean on #5? "What are____"? What do they mean "What are", am I supposed to name their relationship or state that they are transversals/segments?
Sorry if I'm missing something here if it sounds stupid: But what could I put for c. on #4? I know it doesn't state anywhere in the definition of a parallelogram that it has opposite congruent sides...
As far as #4 goes, you are correct about the def'n of a prllogrm, sir or madam. However, when it comes to proving things down the line, you gotsk defn's postlts, and thms and you use WHATEVER IT TAKES to get the job done. You should know the difference between defns, pstlts, and thms, but when you use them, they have "congruent value" in a proof (or even a teensy problem like 4c).
I'm a little confsed on how you would state these theorems in a proof. If you needed to state that opposite angles are congruent, you just put "opposite angles are congruent theorem"?
#15: From what's given it feels like I should solve it like a system of equations, but there is not enough info to do so. Is there another way to solve it?
If you make the statement AB||CD, the reason would be "Defn of a parallelogram" OR "Opp sides of a parallelogram are ||" I prefer the first (bcuz you are acknowledging the defn) but I would accept the second.
If you make the statement AB cong CD, the reason would be WHAT YOU SAID... you would not HAVE to use the word THEOREM... you could just write "Opp sides of a parallelogram are congruent"
It is geometrically proper to explicitly state when you are using a definition, as opposed to a postulate or theorem. As we have seen, postulates and theorem can be a little "kludgy" in that one book's postulate is another book's theorem and vice versa.
Probably a longer answer than you would have liked, but then I've always been "elevator pitch"-challenged.
I'm still confused.. We did this in class, but what reasoning would you use in saying that TZ and TW are the same line? For #37's proof? I think you said something like "all lines and segments" but I forget..
I'm REALLY REALLY confused on #41.. I can't figure out how to solve it, and when I tried using the lengths as variables it didn't work out... Maybe I'm just tired or missing something, but can we go over this please?
I have started using Geogebra this weekend and it is very complicated. The controls are vastly different to that of the smart board and requires multiple inputs to create just one line. Here is some useful information about geogebra:
Background Information About GeoGebra:
GeoGebra is dynamic mathematics software for schools that joins geometry, algebra and calculus. On the one hand, GeoGebra is an interactive geometry system. You can do constructions with points, vectors, segments, lines, and conic sections as well as functions while changing them dynamically afterwards. On the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors, and points. It finds derivatives and integrals of functions and offers commands like Root or Vertex. These two views are characteristic of GeoGebra: an expression in the algebra view corresponds to an object in the graphics view and vice versa.
Basic Use of Tools
Activate a tool by clicking on the button showing the corresponding icon. Open a toolbox by clicking on the lower part of a button and select another tool from this toolbox. Hint: You don’t have to open the toolbox every time you want to select a tool. If the icon of the desired tool is already shown on the button it can be activated directly. Hint: Toolboxes contain similar tools or tools that generate the same type of new object. Check the toolbar help in order to find out which tool is currently activated and how to operate it.
All the turtorials I have seen aren't detailed adn you would need to watch a six minute video just to learn how to do one function.
This useful pdf link gives you all you need to know from draw simple lines to geometric constructions. You can also save your work like a word document. www.geogebra.org/book/intro-en.pdf Hope you have fun becoming a geogebra expert!!!
Mr. A. Cooper has also done some research and offered to give a presentation, soon. If you would like to join him, that would be wonderful. Extra credit will be awarded.
Want to do something mind-blowing and educational?? How about using geegebra and symmetry to model a perfect golf swing... now that would be awesome.
What do they mean on #5? "What are____"? What do they mean "What are", am I supposed to name their relationship or state that they are transversals/segments?
ReplyDeleteIt simply means what am is are be their lengths, given the other lengths in the diagram.
ReplyDeleteSorry if I'm missing something here if it sounds stupid: But what could I put for c. on #4? I know it doesn't state anywhere in the definition of a parallelogram that it has opposite congruent sides...
ReplyDeleteOh ok!
ReplyDeleteAs far as #4 goes, you are correct about the def'n of a prllogrm, sir or madam. However, when it comes to proving things down the line, you gotsk defn's postlts, and thms and you use WHATEVER IT TAKES to get the job done. You should know the difference between defns, pstlts, and thms, but when you use them, they have "congruent value" in a proof (or even a teensy problem like 4c).
ReplyDeleteI don't know how to du the proof for 43#
ReplyDeleteI understand, but that still doesn't help me answer the question! I don't know what to use!
ReplyDeleteCould the reason for e. on #13 be CPCTC
ReplyDeleteOR Thm 6-7?
I'm a little confsed on how you would state these theorems in a proof. If you needed to state that opposite angles are congruent, you just put "opposite angles are congruent theorem"?
ReplyDelete#15: From what's given it feels like I should solve it like a system of equations, but there is not enough info to do so. Is there another way to solve it?
ReplyDeleteAs for #43, at least we have something to do in class tomorrow.
ReplyDelete@Julia...
ReplyDeletelet's say that we are GIVEN parallelogram ABCD.
If you make the statement AB||CD, the reason would be "Defn of a parallelogram" OR "Opp sides of a parallelogram are ||" I prefer the first (bcuz you are acknowledging the defn) but I would accept the second.
If you make the statement AB cong CD, the reason would be WHAT YOU SAID... you would not HAVE to use the word THEOREM... you could just write "Opp sides of a parallelogram are congruent"
It is geometrically proper to explicitly state when you are using a definition, as opposed to a postulate or theorem. As we have seen, postulates and theorem can be a little "kludgy" in that one book's postulate is another book's theorem and vice versa.
Probably a longer answer than you would have liked, but then I've always been "elevator pitch"-challenged.
Could the reason for e. on #13 be CPCTC
ReplyDeleteOR Thm 6-7?
I agree with other anonymous.. I'm not sure what to do on #15!
ReplyDeleteI'm still confused.. We did this in class, but what reasoning would you use in saying that TZ and TW are the same line? For #37's proof? I think you said something like "all lines and segments" but I forget..
ReplyDeleteI'm REALLY REALLY confused on #41.. I can't figure out how to solve it, and when I tried using the lengths as variables it didn't work out...
ReplyDeleteMaybe I'm just tired or missing something, but can we go over this please?
Atleast we're doing #43 tomorrow..
ReplyDeleteWhat's the answer to number 28
ReplyDeleteI have started using Geogebra this weekend and it is very complicated. The controls are vastly different to that of the smart board and requires multiple inputs to create just one line. Here is some useful information about geogebra:
ReplyDeleteBackground Information About GeoGebra:
GeoGebra is dynamic mathematics software for schools that joins geometry,
algebra and calculus.
On the one hand, GeoGebra is an interactive geometry system. You can do
constructions with points, vectors, segments, lines, and conic sections as well as
functions while changing them dynamically afterwards.
On the other hand, equations and coordinates can be entered directly. Thus,
GeoGebra has the ability to deal with variables for numbers, vectors, and points.
It finds derivatives and integrals of functions and offers commands like Root or
Vertex.
These two views are characteristic of GeoGebra: an expression in the algebra
view corresponds to an object in the graphics view and vice versa.
Basic Use of Tools
Activate a tool by clicking on the button showing the corresponding icon.
Open a toolbox by clicking on the lower part of a button and select another
tool from this toolbox.
Hint: You don’t have to open the toolbox every time you want to select a
tool. If the icon of the desired tool is already shown on the button it can be
activated directly.
Hint: Toolboxes contain similar tools or tools that generate the same type
of new object.
Check the toolbar help in order to find out which tool is currently activated and how to operate it.
All the turtorials I have seen aren't detailed adn you would need to watch a six minute video just to learn how to do one function.
This useful pdf link gives you all you need to know from draw simple lines to geometric constructions. You can also save your work like a word document.
www.geogebra.org/book/intro-en.pdf
Hope you have fun becoming a geogebra expert!!!
Thanks, Mr. Expert!
ReplyDeleteMr. A. Cooper has also done some research and offered to give a presentation, soon. If you would like to join him, that would be wonderful. Extra credit will be awarded.
Want to do something mind-blowing and educational?? How about using geegebra and symmetry to model a perfect golf swing... now that would be awesome.
Don't forget your Model UN work, though!!