Question

Draw a sketch of a pair of similar triangles. Label them. Show their corresponding angles by the same signs. Show the lengths of corresponding sides by numbers in proportion.

Answer 1

The pair of similar triangles is given below:

Here, ΔABD ∼ ΔEFG.

Then, the corresponding angles are

∠A = ∠E

∠B = ∠F

∠D = ∠G

Also, the corresponding sides are in proportion.

∴ `"AB"/"EF" = "BD"/"FG" = "AD"/"EG"`

∴ `4/28 = 5/35 = 6/42 = 1/7`

Hence, the corresponding sides and corresponding angles are labelled.