Question

figure wxyz is rotated 90° counterclockwise around the origin to form figure wxyz.
9 w(-5,______)
10 x(______,-1)
11 y(____,____)
12 z(____,____)

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation around the origin is $(x,y)\to(-y,x)$.

Step2: Solve for $W'$

Let the original coordinates of $W$ be $(x,y)$. After rotation, if $W'(- 5,y')$, then using the rule $x=-y$ and $y' = x$. So if $-y=-5$, then $y = 5$.

Step3: Solve for $X'$

If $X'(x',-1)$, then using the rule $x=-y$ and $y' = x$, if $x'=-y$ and $y'=-1$, then $x = - 1$.

Step4: Since no original coordinates of $Y$ and $Z$ are given, assume original coordinates of $Y=(x_1,y_1)$ and $Z=(x_2,y_2)$

After 90 - degree counter - clockwise rotation, $Y'(-y_1,x_1)$ and $Z'(-y_2,x_2)$. But without specific original coordinates, we can't give numerical values.

Answer:

1. $5$
2. $-1$
3. (No answer as original coordinates of $Y$ not given)
4. (No answer as original coordinates of $Z$ not given)