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?

Question

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?

Answer 1

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]

Answer 2

16) they are same because we completes one loop. 90+270 = 360 degree. So triangle comes back to original shape

Answers (2)

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