triangle qrs is transformed as shown on the graph. which rule describes the transformation? o…

triangle qrs is transformed as shown on the graph. which rule describes the transformation? o $r_{0,90^{circ}}$ o $r_{0,180^{circ}}$ o $r_{0,270^{circ}}$ o $r_{0,360^{circ}}$

triangle qrs is transformed as shown on the graph. which rule describes the transformation? o $r_{0,90^{circ}}$ o $r_{0,180^{circ}}$ o $r_{0,270^{circ}}$ o $r_{0,360^{circ}}$

Answer

Answer:

$R_{0,180^{\circ}}$

Explanation:

Step1: Recall rotation rules

A $90^{\circ}$ rotation about the origin $(x,y)\to(-y,x)$.

Step2: Analyze $180^{\circ}$ rotation

A $180^{\circ}$ rotation about the origin $(x,y)\to(-x,-y)$. By observing the graph, we can see that each point of $\triangle QRS$ has its $x -$ and $y -$ coordinates negated to get the points of $\triangle Q'R'S'$.

Step3: Analyze $270^{\circ}$ rotation

A $270^{\circ}$ rotation about the origin $(x,y)\to(y, - x)$.

Step4: Analyze $360^{\circ}$ rotation

A $360^{\circ}$ rotation about the origin $(x,y)\to(x,y)$. So the rule is $R_{0,180^{\circ}}$.