Question

Natalie is constructing a triangle LMN congruent to triangle QRS.
First, she opened her compass to the width of QS and drew a congruent segment LN using a straightedge.
Next, she adjusted the width of the compass to the length QR and drew an arc from point L.
She then marked a point on the arc as M to make side LM corresponding to side QR.

Which statement about side LM is true?

It is incorrect because the side corresponding to QR is MN and not LM..

It is incorrect because angles MLN and RQS may not be equal if another arc is not drawn.

It is correct because the point M can be us

Answer 1

It is incorrect because angles MLN and RQS may not be equal if another arc is not drawn.
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By choosing an arbitrary point on the arc and connecting it to L, Natalie did construct a segment of length LM. Any point on the arc she drew is the length of QR from L. But the goal is to construct two congruent triangles. Natalie needs to get the length of SR on the compass and swing an arc from point N. Where that arc meets the first arc is the third vertex of the triangle.

Answer 2

thanks