Question

guided instructions below to rotate the figure 90° clockwise about the origin. fill out all of the corresponding points of the image figure. animate rotation again pre - image image (1,2) → (7,3) → (7,6) → (5,7) → (2,7) → try values

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to $(1,2)$

For the point $(1,2)$, substituting $x = 1$ and $y = 2$ into the rule $(x,y)\to(y, - x)$, we get $(2,-1)$.

Step3: Apply rule to $(7,3)$

For the point $(7,3)$, substituting $x = 7$ and $y = 3$ into the rule $(x,y)\to(y, - x)$, we get $(3,-7)$.

Step4: Apply rule to $(7,6)$

For the point $(7,6)$, substituting $x = 7$ and $y = 6$ into the rule $(x,y)\to(y, - x)$, we get $(6,-7)$.

Step5: Apply rule to $(5,7)$

For the point $(5,7)$, substituting $x = 5$ and $y = 7$ into the rule $(x,y)\to(y, - x)$, we get $(7,-5)$.

Step6: Apply rule to $(2,7)$

For the point $(2,7)$, substituting $x = 2$ and $y = 7$ into the rule $(x,y)\to(y, - x)$, we get $(7,-2)$.

Answer:

$(1,2)\to(2,-1)$
$(7,3)\to(3,-7)$
$(7,6)\to(6,-7)$
$(5,7)\to(7,-5)$
$(2,7)\to(7,-2)$