Indirect Measurements and Similarity of Figures

If two figures are similar, then the ratio of their corresponding sides is equal.

For e.g.:
If ΔABC ~ ΔDEF, then
AB = BC = AC
DE     EF     DF

`The symbol ‘~’ means 'is similar to'

For two figures to be similar two conditions should be satisfied:

1) The ratio of their corresponding sides should be proportional or equivalent or equal

2) The corresponding angles should be equal

For e.g.:

For rectangle ABCD and EFGH to be similar:

AB = BC = CD= AD

EF     FG     GH    EH

And, ∠A = ∠E, ∠B = ∠F, ∠C = ∠G, ∠D = ∠H

If two figures are similar then:
1) The ratios of their corresponding sides are proportional or equivalent

2) The corresponding angles are equal

The symbol ‘~’ means is similar to

If two figures are similar then:
a) The ratios of their corresponding sides are proportional or equivalent.
b) The corresponding angles are equal.

For e.g.:
If ΔABC ~ ΔDEF, then
AB = BC = AC
DE     EF     DF

And, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F