Geometric Constructions Worksheet
A Grade 12 math worksheet on geometric constructions using a compass and straightedge, covering bisecting angles, constructing perpendicular lines, and inscribed polygons.
Includes
Standards
Topics
Geometric Constructions
Name:
Date:
Score:
Read each question carefully and follow the instructions to perform the geometric constructions using only a compass and straightedge. Show all construction marks.
1. Construct the bisector of the angle ABC shown below. Label the bisector BD.
2. Construct a line perpendicular to line segment XY passing through point P, which is not on the line. The first step involves drawing an arc centered at P that intersects the line XY at two points. These two points are then used as centers to draw two intersecting arcs with the same radius, from which a line can be drawn through P and the intersection of the arcs. This line will be to XY.
3. It is possible to construct a regular heptagon (7-sided polygon) using only a compass and straightedge.
True
False
4. Match each construction with its primary purpose.
1. Perpendicular bisector
a. Dividing an angle into two equal parts
2. Angle bisector
b. Creating a 90-degree angle and dividing a segment into two equal parts
3. Copying a line segment
c. Transferring a length from one location to another
5. Construct a regular hexagon inscribed in the circle below. Show all construction marks.