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MCQ

Fill in the Blanks

If in two triangles ABC and PQR, `(AB)/(QR) = (BC)/(PR) = (CA)/(PQ)`, then ______.

#### Options

ΔPQR ~ ΔCAB

ΔPQR ~ ΔABC

ΔCBA ~ ΔPQR

ΔBCA ~ ΔPQR

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#### Solution

If in two triangles ABC and PQR, `(AB)/(QR) = (BC)/(PR) = (CA)/(PQ)`, then **ΔPQR ~ ΔCAB**.

**Explanation:**

Given, in two ΔABC and ΔPQR,

`(AB)/(QR) = (BC)/(PR) = (CA)/(PQ)`

Which shows that sides of one triangle are proportional to the side of the other triangle, then their corresponding angles are also equal, so by SSS similarity, triangles are similar.

i.e., ΔCAB ∼ ΔPQR

Concept: Similarity of Triangles

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