To construct a square givsn the diagonal (Fig. 2/22)
1. Draw tha diagonal AC.
2. BissctAC.
3. With centra 0 and radius OA (■» OC) draw a circle to cut the bisecting line in B and D.
ABCD rs the required square.
To construct a rectangle given the length of the diagonal and one of the sides (Pig. 2/23)
1. Draw the diagonal BD.
3. With centre O and radius OB (- OD) draw a circle.
4. With centre B and radius equal to the length of the known side, draw an arc to cut the circle m C.
5. Repeat step 4 with centre D to cut at A. ABCD is the required rectangle.
_ c/ |
0 | ||
fig. 2/23 |
\ |
/ |
yu |
To construct a parallelogram given two sides and an angle (Fig. 2/24)
1. Draw AD equal to the length of one of the sides.
2. From A construct the known angle.
3. Mark off AB equal in length to the other known side.
4. With compass point at B draw an arc equal m radius to AD
5. With compass point at D draw an arc equal in radius to AB.
ABCD is the required parallelogram t j Fig. 2/24
To construct a rhombus given the diagonal and the length of the sides (Fig. 2/25)
1. Draw the diagonal AC.
2. From A and C draw intartecting arcs, equal in length to the sides, to meet at Band D ABCD is the required rhombus.
To construct e trspezlum given the lengths of the parallel aides, the perpendicular distance between them and one angle (Fig. 2/26)
1. Draw one of the parallels AB.
2. Construct the parallel line.
3. Construct the known angle from B to intersect the parallel line in C.
4. Mark off the known length CD. ABCD is the required trapezium.
Was this article helpful?
Learn to sketch by working through these quick, simple lessons. This Learn to Sketch course will help you learn to draw what you see and develop your skills.