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Triangle ABC has vertices A(1, 0), B(0, −2) and C(3, −3). If triangle ABC is rotated 90◦
counterclockwise about A, what are the coordinates of the image of C?

 Jan 6, 2021
 #1
avatar+188 
-1

Plotting the points on the coordinate plane, we know that C'A forms a 90 degree angle with CA. The slope of CA is -3/2 so the slope of C'A is 2/3. The distance CA is sqrt13 so C'A is also sqrt13. Therefore C' is (-2,-2). 

:D

 Jan 6, 2021
 #2
avatar+1247 
+1

Nice Aven! Good to see you here

CoolStuffYT  Jan 6, 2021
edited by CoolStuffYT  Jan 6, 2021
 #3
avatar+466 
+1

hmm

i got (4,2)

 Jan 6, 2021
 #4
avatar+836 
+2

Triangle ABC has vertices A(1, 0), B(0, −2), and C(3, −3). If triangle ABC is rotated 90º
counterclockwise about A, what are the coordinates of the image of C?

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The coordinates are  C(4, 2) smiley

 Jan 6, 2021

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