Question

Donnie has to construct a triangle NOP congruent to triangle KLM. Triangle NOP and Donniefs construction so far is shown below.

Which step should Donnie do next?

Draw an arc to intersect the arc above segment NP from point N with any width of the compass.

Measure the length of KL with a ruler and draw a segment of equal length from point N towards the arc above segment NP.

Draw an arc to intersect the arc above segment NP from point N with the length of segment KL as the width of the compass.

Measure the length of ML with a ruler and draw a segment of equal length in any direct

Answer 1

NO must be congruent to KL, so the compass needs to be put to the width of KL, so the first choice does not work.

Answer 2

Constructions uses straaight edges and not rulers, so the second and last choices won't work, either.

Answer 3

Draw an arc to intersect the arc above segment NP from point N with the length of segment KL as the width of the compass.
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The third vertex of the constructed triangle will be at the intersection of the two drawn arcs. The triangles will be congruent by SSS Postulate.