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A triangle with vertices A(3, -1), B(-2, 6), and C(5,4) is rotated 90° clockwise about vertex B. Find the co-ordinates of the image of vertex C.

 Feb 27, 2020
 #1
avatar+109490 
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Here's  one way to do this...but not necessarily  the fastest

 

Translate   A  to  (  3 + 2, - 1 - 6)  =  (5, - 7)

Rotating  this  90°  clockwise produces  (  -7, - 5)

Now "undo"  the translation....so we have   ( -7 - 2, -5 + 6)  =  ( -9, 1)

 

Tranlate  C  to  (5 + 2,  4  - 6)  = (7, -2)

Rotating  this 90°  clockwise  produces  ( -2, - 7)

"Undo" the translation  =  ( -2 - 2 , -7 + 6)  = (-4, -1)

 

Here's  a  pic  :

 

 

 

 

 

 

 

cool  cool  cool

 Feb 28, 2020
 #2
avatar+50 
0

tysm!!

jamesbroadman  Feb 28, 2020

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