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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.
Solution
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.
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