Question

triangle CAT was rotated to create triangle C'A'T' describe the transformation using details and degrees. imagine points C and C' were two points on a circle named O that had the origin as its center. now imagine points A and A' were to also lie on a circle named T with the origin as its center. what type of circle would O and T create?

Answer 1

@ganeshie8

Answer 2

what do you notice about both the triangles ?

Answer 3

they are both congruent

Answer 4

thats right, and how about the transformation ?

Answer 5

it seems ACT was rotated in clockwise direction by 90 degrees to product A'C'T' ?

Answer 6

ok

Answer 7

rotate 90 clockwise rule :

(x, y) --> (y, -x)

Answer 8

this rule is same as the rule for rotation 270 counter clockwise

Answer 9

see if you can describe the transformation

Answer 10

so the answer for this would be:
ACT was rotated in clockwise direction by 90 degrees to product A'C'T' using the rule(x, y) --> (y, -x) making ACT and A'C'T' congruent

Answer 11

just put this :

ACT was rotated in clockwise direction by 90 degrees to produce A'C'T' using the rule(x, y) --> (y, -x)

Answer 12

we are not done yet

Answer 13

look at the diagram,
if you draw two circles :
1) circle O passing through C and C'
2) circle T passing through A and A'

they both will be concentric since the center is same for both circles, right ?

Answer 14

right

Answer 15

@ganeshie8

Answer 16

just explain the same in more words

Answer 17

I don't really know how

Answer 18

something like this :

ACT was rotated in clockwise direction by 90 degrees to produce A'C'T' using the rule(x, y) --> (y, -x).

The circles O and T are concentric since they both have origin as their centers. Also the circle O would be small compared to T because C is closer to origin.

Answer 19

the more you explain the more impressed your teacher will be

Answer 20

okay thank you

Answer 21

np :)