My Math Forum Help w/ Venn Diagram Criteria?

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September 5th, 2013, 10:03 AM   #1
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Help w/ Venn Diagram Criteria?

New here, trying to help a cousin of mine with some homework, but stumped on this one.

Examine the Venn Diagram Below and answer 1) What defines the criteria for inclusions in Group 1 and Group 2? and 2) Where does the letter "v" belong?

(picture of venn diagram is attached)
Attached Images
 test1.jpg (93.1 KB, 190 views)

 September 5th, 2013, 10:34 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2207 Have you changed any of the letters or digits from the originals?
 September 5th, 2013, 12:28 PM #3 Newbie   Joined: Sep 2013 Posts: 4 Thanks: 0 Re: Help w/ Venn Diagram Criteria? That's just the picture she sent me. I think it's all the same from the originals, but she's gonna let me know when she gets back from school. I asked her whether there was any significance to how she grouped the characters outside of the Venn diagram (or if they are all just considered "in the outside universe"), and for her to clarify some of the letters (it seems to be N beside the J on the right, and I believe it is S between 7 and K.
 September 5th, 2013, 04:49 PM #4 Newbie   Joined: Sep 2013 Posts: 4 Thanks: 0 Re: Help w/ Venn Diagram Criteria? OK well so the letters and numbers outside of the diagram she just added in. The only thing that was in the original was the Venn diagram itself, with the characters contained therein. Hope this helps :/
September 5th, 2013, 05:43 PM   #5
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Are you sure? There's a strong resemblance to the diagram below.
[attachment=0:crm17tvz]Venn.GIF[/attachment:crm17tvz]
Attached Images
 Venn.GIF (18.0 KB, 153 views)

September 5th, 2013, 05:50 PM   #6
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Re: Help w/ Venn Diagram Criteria?

Helli, JPArsenal87!

Quote:
 Examine the Venn diagram below. (1) What defines the criteria for inclusions in Group 1 and Group 2? (2) Where does the letter "V" belong? Code:  * * * * * * * group 1 * group 2 * * * * * * * * * * A U Y * H I * B C * * T W * 8 X * D * * M * O * E 3 * * * * * * * * *

ah-HA! . . . I got it!

Drag your cursor between the asterisks.

**[color=beige]
Group 1 has characters with a vertical axis of symmetry.
Group 2 has characters with a horizontal axis of symmetry.
The intersection has characters which have both.

"V" belong in the left region.
[/color]**

 September 5th, 2013, 08:21 PM #7 Newbie   Joined: Sep 2013 Posts: 4 Thanks: 0 Re: Help w/ Venn Diagram Criteria? Hey! Thanks so much! Gosh I feel so silly I couldn't see that, it's so obvious now hah. I think all her clutter outside the diagram was throwing me off (at least that's what I'll tell myself). Really good work!
 September 5th, 2013, 09:47 PM #8 Math Team   Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408 Re: Help w/ Venn Diagram Criteria? Hello again, JPArsenal87! I've seen this type of puzzle before: "Guess the criteria." So I tried a variety of "rules" until I found the right one. We have:[color=beige] .[/color]$\begin{Bmatrix}A\,U\,Y \\ \\ T\,W \\ \\ M\end{Bmatrix} \;\;\; \begin{Bmatrix}H\,I \\ \\ 8\,X \\ \\ O \end{Bmatrix} \;\;\;\begin{Bmatrix}B\,C \\ \\ D \\ \\ E\,3\end{Bmatrix}$ I noticed that the last group has names which rhymed: bee, see, dee, three But the first group has "tee" . . . Darn! I examined the numerical positions of the letters. $\;\;\;\begin{Bmatrix}1\,21\,25 \\ \\ 20\,23 \\ \\ 13\end{Bmatrix} \;\;\;\begin{Bmatrix}8\,9 \\ \\ 8\,24 \\ \\ 15 \end{Bmatrix} \;\;\;\begin{Bmatrix}2\,3\\ \\ 4 \\ \\ 5\,3\end{Bmatrix}$ No pattern there . . . How about characters formed with curved lines: $\{C,\,O,\,S,\,.\.\,.\,.\}$ Characters formed with straight lines: $\{A,\,E,\,F,\,H,\,.\,.\,.\}$ And characters formed with both: $\{B,\,D,\,P,\.\,.\,.\}$ [color=beige]. . [/color]Nope . . . How about characters that have enclosed regions? $\{B,\,D,\,O,\,P,\,.\,.\,.\}$ So, you see, I tried many theories: phonetics, construction of the letters, etc. [color=beige]. . [/color]before stumbling on the answer.
 September 6th, 2013, 07:20 AM #9 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2207 In some fonts, the letter K has a horizontal axis of symmetry, but it's not in Group 2. Also the characters B, 3 and 8 are only approximately symmetrical about a horizontal axis in many fonts.

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