Question

1. all of the following constructions start with a line segment except what?

constructing a 30° angle
constructing equilateral triangles
constructing a line perpendicular to a point on a line
constructing a 45° angle

Explanation:

• Constructing a 30° angle: Typically starts with a ray (not a line segment) to define the vertex and initial side.
• Constructing equilateral triangles: Requires a line segment as the base.
• Constructing a perpendicular line at a point on a line: Starts with a line segment containing the point.
• Constructing a 45° angle: Often starts with a right angle (derived from a line segment) or a ray, but key exception is the 30° angle construction’s starting element.

Answer:

constructing a 30° angle