Question

Find the coordinates of each point under the given rotation about the origin (5, -5); 90 clockwise

Answer 1

Step 1. The point we have is:

`(5,-5)`

We will label this point as (x, y):

`\begin{gathered} (x,y)\to(5,-5) \\ x=5 \\ y=-5 \end{gathered}`

Step 2. We need to make a rotation of this point about the origin,

The rule for a rotation of 90° about the origin clockwise is:

`\boxed{(x,y)\longrightarrow(y,-x)}`

Step 3. Applying the transformation from step 2 to the point from step 1:

`\begin{gathered} \boxed{(x,y)\longrightarrow(y,-x)} \\ \boxed{(5,-5)\longrightarrow(-5,-5)} \end{gathered}`

We put the old y-value in the place of the new x-value, and we put the old x-value in the place of the new y-value with the opposite sign.

(-5,-5) is the result.

Answer:

(-5, -5)