Constructions Worksheets and Answers
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.
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.
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 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.
3. Construct 2 circles and 4. mark the intersections.
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'.