Basic geometric terms and constructions Knowledge-Based Download PDF

Questions

1. 1.

   Which geometric figure is constructed by setting a compass width to the length of a given line segment and drawing intersecting arcs from each endpoint to determine a third vertex?

   • A) A right isosceles triangle
   • B) A regular hexagon
   • C) A scalene triangle
   • D) An equilateral triangle
2. 2.

   Which compass and straightedge construction begins by drawing a transversal through an external point and copies the resulting angle to establish congruent corresponding angles?

   • A) Constructing a line parallel to a given line through a point not on the line
   • B) Constructing a line perpendicular to a given line through a point on the line
   • C) Constructing the perpendicular bisector of a given line segment
   • D) Constructing an angle bisector for a given vertex
3. 3.

   Which basic geometric construction uses a compass and straightedge to replicate the exact measure of an existing angle at a new vertex along a given ray?

   • A) Copying an angle
   • B) Bisecting an angle
   • C) Constructing a perpendicular bisector
   • D) Constructing an equilateral triangle
4. 4.

   Which geometric construction produces a straight line that divides a given line segment into two equal parts while intersecting it at a right angle?

   • A) Perpendicular bisector
   • B) Parallel line through an external point
   • C) Angle trisection
   • D) Tangent line to a circle
5. 5.

   Which geometric construction divides a given angle into two congruent angles?

   • A) Perpendicular bisector
   • B) Angle bisector
   • C) Midpoint construction
   • D) Parallel line construction