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In this field of Mathematics , ' construction ' means to draw shapes , angles or lines .For example , during your maths exam , you may be required to construct a triangle. There are two methods of drawing triangles; with a compass or by using a ruler and protractor.
Construct a triangle with side lengths of 3cm, 4cm and 5cm.
Method One - Using a compass
Firstly, use your ruler to draw a 5cm line. Label either end of this line point A and point B.
Secondly, open your compass to a radius of 4cm and place the compass needle at point A. Using this radius of 4cm draw a arc.
Then, place your compass on point B and draw a similar arc. Find the point where these two arcs cross and join each end of the line to this point where they cross.
Construct a triangle which has one side length of 6cm, and two angles of 55° and 70°.
Method Two- Using a ruler and protractor When you are asked to construct a triangle and the question tells you the size of some of its angles, it is often easier to use a ruler and protractor as opposed to a compass.
Firstly, use a ruler to draw a 6cm and label either end of this line point A and point B.
Secondly, place the centre of your protractor on point A and line up your protractor at 0°. From this point, measure an angle of 55° and mark it with a dot. Connect this dot to point A with a ruler.
Similarly, place your protractor on point B, line it up with 0°, measure an angle of 70° and mark it with a dot. Connect this dot to point B with a ruler and it should meet with the line you have drawn from point A.
A 'locus' is a path which is formed by a point which moves according to a specific principle or rule. The plural of locus is 'loci', and is used to describe a set of all points which share a property. When connected, these points will create a circle. For example, if you connect all of the points on the grid below, you will create a circle:
Construct a triangle with side lengths of 3cm, 4cm and 5cm.
Method One - Using a compass
Firstly, use your ruler to draw a 5cm line. Label either end of this line point A and point B.
Secondly, open your compass to a radius of 4cm and place the compass needle at point A. Using this radius of 4cm draw a arc.
Then, place your compass on point B and draw a similar arc. Find the point where these two arcs cross and join each end of the line to this point where they cross.
Construct a triangle which has one side length of 6cm, and two angles of 55° and 70°.
Method Two- Using a ruler and protractor When you are asked to construct a triangle and the question tells you the size of some of its angles, it is often easier to use a ruler and protractor as opposed to a compass.
Firstly, use a ruler to draw a 6cm and label either end of this line point A and point B.
Secondly, place the centre of your protractor on point A and line up your protractor at 0°. From this point, measure an angle of 55° and mark it with a dot. Connect this dot to point A with a ruler.
Similarly, place your protractor on point B, line it up with 0°, measure an angle of 70° and mark it with a dot. Connect this dot to point B with a ruler and it should meet with the line you have drawn from point A.
A 'locus' is a path which is formed by a point which moves according to a specific principle or rule. The plural of locus is 'loci', and is used to describe a set of all points which share a property. When connected, these points will create a circle. For example, if you connect all of the points on the grid below, you will create a circle:
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