Question

triangle klm and triangle klm are shown on the coordinate plane. write the rule describes the composition of transformations that maps triangle klm to triangle klm. enter your answers in the boxes. r 0,□° t (□,□) (x,y)

Explanation:

Step1: Identify coordinates of key points

Assume K(4,-4), L(2,-6), M(2,-2) for KLM; K''(0,3), L''(2,2), M''(0,2) for K''L''M''.

Step2: Determine rotation

Rotation 180° about origin: (x,y)→(-x,-y). For L(2,-6): (-2,6); M(2,-2): (-2,2); K(4,-4): (-4,4).

Step3: Determine translation

Translate rotated points to K''L''M'': (-2+4,6-4)=(2,2)=L''; (-2+2,2-0)=(0,2)=M''; (-4+4,4-1)=(0,3)=K''. Translation vector (4,-1).

Answer:

T(4,-1) ∘ R(0,180°)(x,y)