Types of Diagrams

sketch is a rough diagram which does not have to be too accurate.
drawing is more accurate and can be drawn using a ruler and a protractor for measuring lengths and angles.

construction in mathematics is an accurate drawing done usually using only instruments such as a ruler as a straight edge and a pair of compasses. 
When drawing a construction, leave all of your construction arcs and lines
.

Y8_Constructions_01.gif

Constructions

Circle
Draw a circle of radius 2 cm.

See construction

Triangle: Type A
Construct a triangle ABC with sides of lengths 2 cm, 3 cm and 4 cm.

See construction

Triangle: Type B
Draw a triangle PQR with sides PQ = 5 cm RQ = 3 cm and PQR = 57° .

See construction

Triangle: Type C
Draw a triangle XYZ with angle Y = 45°angle X= 75° and side XY = 6 cm

See construction