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Mathematics 17 Online
OpenStudy (anonymous):

Given triangle ABC such that A(-2,5), B(1,2) and C(4,3). State the coordinates of the verticies of triangle A' B' C', the image of triangle ABC after the rotation of -90 degrees. SHOW ALL WORK.

jimthompson5910 (jim_thompson5910):

Rule: To rotate a point -90 degrees (ie 90 degrees clockwise) with around the origin, you start with any point (x,y) and you flip the coordinates to get (y,x) and you change the sign of the second coordinate to get (y, -x) So the point A (-2,5) turns into (-2,5) ----> (5, -2) ----> (5, 2) after flipping the coordinates and changing the sign of the second coordinate (after you flip the coordinates)

jimthompson5910 (jim_thompson5910):

So to summarize A(-2, 5) rotates -90 degrees (ie 90 degrees clockwise) to get to the point A' (5,2)

jimthompson5910 (jim_thompson5910):

you're doing this with each point A, B and C

OpenStudy (anonymous):

so b would become -1, -2 and c would become -4, -3?

jimthompson5910 (jim_thompson5910):

B(1,2) .... given (2,1) ... flip the coordinates (2,-1) ... change the sign of the second coordinate B' is the point (2, -1)

jimthompson5910 (jim_thompson5910):

what do you get for C' ?

OpenStudy (anonymous):

c (4,3)----> 3,4------>3,-4 c is the point 3, -4?

jimthompson5910 (jim_thompson5910):

you nailed it, C' is (3, -4)

OpenStudy (anonymous):

Thank you sooooo much!!!!

jimthompson5910 (jim_thompson5910):

yw

OpenStudy (anonymous):

Your the BEST!!!!!

jimthompson5910 (jim_thompson5910):

lol thx for the compliment

jimthompson5910 (jim_thompson5910):

glad to be of help

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