Construct the following figures: - Vidyadip

Question

Construct the following figures:

✓

Answer

(a) Draw a line and take points A and B on it.
Draw perpendiculars at A and B below the line using a ruler and a compass as shown in the figure.

Draw equal lines AC and BD.
Find the mid-point M of the line AB.
With centres at A and B and radius AM, draw arcs as shown in the figure.

Erase the extra lines, arcs, and letters to get the required figure of an inflexed arc as shown above.
(b) This figure is called the ‘Flower of Life’.
Draw a circle. This is called the central circle of the required figure.
Take any point A on the circumference and draw an arc of the same radius as that of the circle outside the circle and touching its circumference at B and C.
With centre at B, draw an arc of the same radius outside the circle and touching its circumference.
Repeat the process and complete the pattern as shown below:

Erase the extra arcs and letters to get the required figure of a ‘Flower of Life’ as shown below.

(c) Draw a circle. Take any point A on the circumference and draw an arc with centre at A and radius that to the circle’s and intersecting the circle at B.

With the centre at B and the same radius, draw an arc intersecting the circle at C.
Repeat this process and get points of intersection D, E, and F.
Join AB, BC, CD, DE, EF, and FA.

Erase the arcs and letters to get the required figure as shown above.
(d) Draw a circle. Take any point A on the circle and draw an arc of the same radius as that of the circle intersecting the circle at B.
With B as centre, draw an arc of the same radius intersecting the circle at C.

Repeat this process and find points D, E, and F.
Join O and A. Find the mid-point of OA.
Let M be the midpoint of OA.
With centres at A, B, C, D, E, and F, draw circles of radius equal to OM.

Erase the extra lines, arcs, and letters to get the required figure as shown above.
(e) Draw a circle. Take any point A on the circle and draw an arc with centre at A and radius OA, intersecting the circle at B.
With the centre at B and the same radius, draw an arc intersecting the circle at C.

Repeat this process and get points of intersection D, E, and F.
Draw a circle with centre O and radius twice OA.
Join OA and extend it to intersect the outer circle at A’.
Similarly, draw other extended lines. Join the lines as shown in the figure.
There are 5, 7, 7, 5 triangles in Ist, IInd, IIIrd, and IVth rows respectively.
Join the vertices of each triangle to the centre of the respective triangle.
Erase the extra lines, arcs, and letters to get the required figure.

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