Here are 3 triangles.[br][img]data:image/png;base64,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[/img][br][br]Triangle [i]PQR[/i] is congruent to triangle MNL, but not congruent to triangle ACE. Gently trace triangle [i]PQR[/i] and compare it to triangle [i]ACE[/i] and [i]MNL [/i]to see why not.
Determine a sequence of rigid motions that takes triangle [i]PQR[/i] to the triangle it is congruent to.
Translate triangle [i]PQR[/i] by vector [i]RL. [/i]Then rotate the using [i]L[/i] as the center point so that [i]Q[/i] coincides with [i]N[/i]. Then reflect over [i]NL[/i].
Explain why there can’t be a rigid motion from triangle [i]PQR[/i] to the other triangle.
A sequence of rigid motions that took [i]PQ[/i] to [i]AC[/i] would not take [i]R[/i] to [i]E[/i] because [i]PR[/i] and [i]AE[/i] are not the same length. Rigid motions preserve distance so even if [i]R[/i] and [i]E[/i] are on the same ray, they would be different distances along that ray.