Enlargement

Enlargement of regular plane figures can be defined as the technique of representing figures in a similar but larger shape using a given proportion.

For Example: Construct a Figure Similar to the Given Figure ABCDEF shown below with sides in the Ratio of 7: 4.

Steps:

i. Draw the given figure ABCDEF.

ii. Produce AB at B and AF at F.

iii. Radiate lines at AC, AD, and AE.

iv. Draw a convenient angle at AG (30° in this case) and divide it into 7 – equal parts.

v. Join, point 4 to point B, and draw 7B₁ parallel to 4B.

vi. Draw B₁C₁, C₁D₁, D₁E₁, and E₁F₁ parallel to BC, CD and DE respectively to complete the required figure.

See the figure below: