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

Matias Aguirre

Answered question

2022-07-26

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 & Explanation

umgangistbf

umgangistbf

Beginner2022-07-27Added 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]
posader86

posader86

Beginner2022-07-28Added 3 answers

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

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Elementary geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?