Question

the rule t1, - 4 ∘ r0, 180° (x, y) is applied to rectangle klmn. which rectangle shows the final image?

Explanation:

Step1: Identify transformation order

Apply rotation first, then translation.

Step2: 180° rotation rule

$R_{0,180^\circ}(x,y)=(-x,-y)$

Step3: Translation rule

$T_{1,-4}(x,y)=(x+1,y-4)$

Step4: Composite transformation

$(x,y)\to(-x+1,-y-4)$

Step5: Apply to KLMN vertices

Original vertices transformed to match Rectangle 3.

Answer:

3