SOLUTION: what are the cordinates of the endponits of line A''B'' given:A(1,3), B(2,5) rotation: 90 degrees counterclockwise about (2,1) reflection: in y=x

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Question 176242: what are the cordinates of the endponits of line A''B''
given:A(1,3), B(2,5)
rotation: 90 degrees counterclockwise about (2,1)
reflection: in y=x
Answer by user_dude2008(1825) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1) Translate point (2,1) to origin. You must also translate every other point.

Step 2) Rotate A(1,3) and B(2,5) about origin 90 degrees counterclockwise. Use the matrix 
|0 -1|
|1  0|

Step 3)
Translate back to (2,1)

Step 4)

Reflect by switching coordinates of every point


Answer: A'' is (0,0) and B'' is (2,-1)