Question

the diagram shows the construction of a square with the same side length as st. which combination of constructions does the diagram model for the construction of the square? duplicating a segment and constructing perpendicular lines duplicating a line and constructing segment bisectors constructing a midpoint and a segment bisector constructing a diagonal and a right angle

Explanation:

Step1: Analyze square construction

To construct a square, we first need to construct right - angles and equal - length sides. The given diagram shows circles drawn from endpoints of a segment (presumably to create equal lengths). Intersecting arcs are used to create perpendicular lines which are essential for right - angles in a square.

Step2: Evaluate options

Constructing a diagonal and a right - angle is part of the process of constructing a square. We use the properties of circles and perpendicular bisectors to create right - angles and equal side lengths. The other options like duplicating a segment and constructing perpendicular lines, duplicating a line and constructing segment bisectors, and constructing a mid - point and a segment bisector are not the key combination for constructing a square.

Answer:

Constructing a diagonal and a right angle