Question

Can someone help me, how do I even start this?>o<

Val owns a hardware store. The floor plan drawn on the coordinate grid below shows its five different sections.



Val calculates the ratio of length and width of each section drawn on the grid and concludes that two sections are similar. Which two sections appear as similar geometric figures on the grid?

Section T and Section S

Section K and Section T

Section H and Section K

Section M and Section H

Answer 1

so, which ones do you think?

Answer 2

Well, from how it looked, I thought it could have been Section T and Section S.

Answer 3

well, what makes 2 POLYGONS SIMILAR?

Answer 4

as opposed to congruents or else

Answer 5

http://library.thinkquest.org/20991/media/geo_spex.gif

see above picture, interior angles match, sides RATIO matches

Answer 6

so, there are 2 guys there, which have that :), but not the pair you said :|

Answer 7

Wait, so then if the congruent ones, would the side be M and H?

Answer 8

well, close, but no

Answer 9

count H length and width, what do you get?

Answer 10

6, 4?

Answer 11

right, now check K length and width

Answer 12

It would be 3, 2.

Answer 13

right, so, (3x2) * 2 = (6x4), so there is a correspondent ratio relationship
and their interior angles are congruents

Answer 14

so, another rectangle of say 9x6 or 12x8, will also be SIMILAR to those two

Answer 15

Oh, okay I do get it now. Geeze, I didn't even think of that. Okay, now I understand it.