Constructions Practice Worksheets

There are 7 constructions worksheets below. Construction worksheet 1 involves constructing triangles using a ruler and protractor. Construction worksheet 2 involves constructing perpendicular and angle bisectors. Construction worksheet 3 contains word problems. Construction worksheet 4 and construction worksheet 5 involve drawing and sketching constructions. Construction worksheet 6 contains harder construction problems. Construction worksheet 7 involves drawing regular polygons using construction.

Constructing an Equilateral Triangle

An equilateral triangle has equal sides and equal angles of 60°. Constructing an equilateral triangle using only a compass and straight edge. First, draw a straight line. Second, draw a circle at one end using a compass.

Constructing an Equilateral Triangle

Third step, construct a circle at the other end, where the circles intersect mark it with a cross. The equilateral triangle can be nicely constructed using a straight edge.

Constructing an Equilateral Triangle 1

The Equilateral Triangle

The equilateral triangle can be constructing using a ruler and straight edge. All sides are lightly marked with a dash to indicate equivalence. Each angle is exactly 60 degrees.


Constructing an Equilateral Triangle 2

Constructing a Perpendicular Bisector

A perpendicular line makes a 90 degree angle with the line it intersects. Constructing a perpendicular bisector with a pair of compasses and straight edge. 1. Draw a straight line, 2. Construct a circle using the end of the line at the center of the compass.

Constructing Perpendicular Bisector

3. Construct 2 circles and 4. mark the intersections.

Constructing Perpendicular Bisector 1

Finally draw a line through the intersections and 6. draw the perpendicular bisector straight through. It is known as a bisector since the line cuts through the joining line exactly through its mid-point - 'the half way point'.


Constructing Perpendicular Bisector 2

Constructing an Angle Bisector

An angle bisector cuts through an angle in two equal parts. The first step is to 1. draw an acute angle. 2. Construct a circle at the apex of the angle.

Constructing Angle Bisector

3. Mark the intersections of the angle at the circle. 4. Draw a smaller circle using one of th eintersections as the centre.

Constructing Angle Bisector 1

5. Draw another small circle using the other intersections as the centre. 6. Mark the intersections that the smaller circles make with each other.

Constructing Angle Bisector 2

7. Draw a line through the intersections of the smaller circles and the apex of the angle. 8. Leave the construction lines.

Constructing Angle Bisector 3