Question

Read the steps Sasha wrote to construct triangle APQ congruent to triangle GHN.

Use a ruler to construct a segment AP congruent to segment GH.
Adjust the width of the compass to half the length of GN and draw an arc from point A.
Adjust the width of the compass to half the length of HN and draw an arc from point P intersecting the first arc. Label the intersection point Q.
Use a straight edge to draw lines to connect the three points.

Which statement about the steps Sasha wrote for the construction of the triangle DEF is true?

Answer 1

good ques..

Answer 2

What is the triangle DEF?

Answer 3

@kayteebeast i need a fig...

Answer 4

Use a straight edge to draw lines to connect the three points. --> Answer
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In a classical Greek construction, only a straghtedge and compass may be used. Measuring with a ruler is forbidden.

1. Use a ruler to construct a segment AP congruent to segment GH. --> Not allowed in Greek constructions. No ruler measurements.

2. Adjust the width of the compass to half the length of GN and draw an arc from point A.
3. Adjust the width of the compass to half the length of HN and draw an arc from
point P intersecting the first arc. Label the intersection point Q.

Actions 2 and 3 are disallowed in Greek constructions because eyeballing the compass setting to half the length of anything is, at best, a guess. Greek constructions are precise. No eyeballing.

That leaves the fourth option as true. A straightedge may be used to join 3 points.