Q1 of 56 Page 119

Point D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,
If AD = 6 cm, DB = 9 cm and AE = 8 cm then find the value of AC.

In ΔABC,

∵DE|| BC

∴|(By Thales Theorem)

State whether the following statement are true or false:

(i) Two congruent figures are similar.

(ii) Two similar figures are congruent.

(iii) Two polygons are similar if their corresponding sides are proportional.

(iv) Two polygons are similar if their corresponding sides are proportional and the corresponding angles are equal.

(v) Two polygons are similar if their corresponding angles are equal.

Give two different examples of pairs of similar figures.

Point D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If and AC = 20.4 cm then find the value of EC.

Point D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If and AE = 6.3 cm then find the value of AC.

Questions · 56

11. Similarity

1 2 3 1 1 1 1 2 2 2 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 4 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Point D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,If AD = 6 cm, DB = 9 cm and AE = 8 cm then find the value of AC.