2024Q1(xv)Similarity (With Applications to Maps and Models)

MCQEasy1 mark

1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

In the given diagram, ∆ABC ∼ ∆PQR. If AD and PS are bisectors of ∠BAC and ∠QPR respectively then:

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

∆ABC ∼ ∆PQS∆ABD ∼ ∆PQS∆ABD ∼ ∆PSR∆ABC ∼ ∆PSR

Answer

Exam answer

(b) ΔABD ∼ ΔPQS

Explanation

Corresponding angle bisectors in similar triangles preserve equal-angle relations; use AA similarity.

In words

ΔABD ∼ ΔPQS

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