Question

iz is accepting submissions until wednesday, september 10, 2025 at 3:25 pm

question 1 (1 point)
what is the construction?
image of geometric construction elements
a finding the center of a circle
b drawing a line parallel to a given line
c drawing a square from a given side
d drawing an equilateral triangle from a given side

question 2 (1 point)

Explanation:

To determine the construction, we analyze each option:

• Option a: Finding the center of a circle typically involves perpendicular bisectors of chords, not the given diagram's elements (a segment and arcs for triangle construction).
• Option b: Drawing a parallel line uses different methods (e.g., corresponding angles), not the arc - based construction shown.
• Option c: Drawing a square from a side would involve right angles and equal sides, not the arc intersections for a triangle.
• Option d: To draw an equilateral triangle from a given side (segment AB), we can construct two arcs with centers at A and B (or other relevant points) with radius equal to AB. The intersection of these arcs (point R) forms the third vertex of the equilateral triangle, which matches the diagram's arc - intersection construction.

Answer:

d. Drawing an equilateral triangle from a given side