2021Q9Similarity (With Applications to Maps and Models)

MCQEasy1 mark

Select the correct option for each of the following questions.

In the given figure AB = 24 cm, AC = 18 cm, DE = 12 cm, DF = 9 cm and ∠BAC = ∠EDF. Then ΔABC ~ ΔDEF by the condition

Topic: Similarity / scale factor

Question diagram

Previous-year question practice database

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Pick an option and check your answer. The full worked answer is below either way.

Choose an answer

AAASASSSSAAS

Answer

Exam answer

(b) SAS similarity.

Explanation

AB/DE = 24/12 = 2 and AC/DF = 18/9 = 2, while the included angles are equal. Hence the triangles are similar by SAS.

In words

SAS similarity.

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