Question

is δklm congruent to δqrs? justify your answer using rigid motions

Explanation:

Step1: Recall the property of congruent triangles

Congruent triangles have equal corresponding side lengths.

Step2: Compare the side lengths

In \(\triangle KLM\), the side lengths are \(KL = 10\space cm\), \(LM=6\space cm\), \(KM = 11\space cm\). In \(\triangle QRS\), the side lengths are \(QR = 10\space cm\), \(QS = 12\space cm\), \(RS=15\space cm\). Since \(LM
eq QS\), \(KM
eq RS\) (and other non - matching side length pairs also exist), the two triangles are not congruent.

Answer:

No. \(\triangle KLM\) is not congruent to \(\triangle QRS\) because their corresponding side lengths are not all equal.