We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
190
1
avatar+1206 

Points A(-4,1), B(-1,4) and C(-1,1) are the vertices of triangle ABC. What will be the coordinates of the image of point A if triangle ABC is rotated 90 degrees clockwise about the origin?

 Feb 10, 2019
 #1
avatar+6045 
+1

\(\text{one way of doing this is to note that the rotation matrix for a 90 degree clockwise rotation is}\\ R=\begin{pmatrix}0 &1\\-1 &0 \end{pmatrix}\)

 

\(R.(x,y) = (y, -x)\\ \text{and this is simple to apply to your points}\\ \text{for example}\\ (-4,1) \to (1,4)\\ \text{I leave rotating the two other points to you}\)

.
 Feb 10, 2019

27 Online Users

avatar