Question

Sid is constructing a triangle PQR congruent to triangle LMN. First, he constructed a segment PQ congruent to segment LM. Next, he measured the segment LN with a ruler and used the measurement to draw the segment PR.

Which statement about segment PR is true?

It is correct because it is congruent to line segment LN.

It is incorrect because it is not congruent to line segment NM.

It is correct because use of ruler gives an accurate measurement.

It is incorrect because a ruler is not used to construct congruent triangles.

Answer 1

It is incorrect because a ruler is not used to construct congruent triangles.
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Only a compass and straightedge are allowed in the classical Greek constructions in Geometry.