14. Use the coordinate rules to rotate triangle ABC 90 degrees counterclockwise around the origin. List the coodinates and draw the image of triangle A'B'C'. (a, b) ---- (___, ____) A(-1, -2) ---- A' (____,____) B(1, 2) ------B' (___,____) C(3, -1) -----C' (___,____) 15. Find the matrix that results from a 270 degree counterclockwise rotation of triangle A'B'C' 16. Why would you expect triangle A"B"C" to have the same vertices as triangle ABC from problem 14?

Matias Aguirre 2022-07-26 Answered
14. Use the coordinate rules to rotate triangle ABC 90 degrees counterclockwise around the origin. List the coodinates and draw the image of triangle A'B'C'.
(a, b) ---- (___, ____)
A(-1, -2) ---- A' (____,____)
B(1, 2) ------B' (___,____)
C(3, -1) -----C' (___,____)
15. Find the matrix that results from a 270 degree counterclockwise rotation of triangle A'B'C'
16. Why would you expect triangle A"B"C" to have the same vertices as triangle ABC from problem 14?
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Answers (2)

umgangistbf
Answered 2022-07-27 Author has 12 answers
On rotating 90 degree counter clockwise
A(-1, -2) ---- A' ( 2, -1)
(a,b)------> (-b, a);
B(1, 2) ------B' ( -2, 1)
C(3, -1) -----C' ( 1, 3)
15) matrix is [-1,-2;
1,2;
3,-1]
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posader86
Answered 2022-07-28 Author has 3 answers
16) they are same because we completes one loop. 90+270 = 360 degree. So triangle comes back to original shape
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