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Triangles
NCERT Exemplar Ch 06
CBSE_NCERT_EXEMPLAR_CH06
Grade 10

Question:

In figures, $\Delta ABC \sim \Delta PQR$. If $AD$ and $PS$ are medians of $\Delta ABC$ and $\Delta PQR$ respectively, then $\dfrac{AD}{PS}$ is equal to:

$\dfrac{AB}{PQ}$
$\dfrac{BC}{QR}$
$\dfrac{AC}{PR}$
All of the above

Step-by-Step Solution

Key Concept: The ratio of corresponding medians of two similar triangles is equal to the ratio of their corresponding sides.
Stepwise Solution:

Ratio of corresponding medians equals scale factor of similar triangles. [0.5 Mark]

Thus $\dfrac{AD}{PS} = \dfrac{AB}{PQ} = \dfrac{BC}{QR} = \dfrac{AC}{PR}$. [0.5 Mark]

Marking Scheme:

• Recalling median ratio theorem for similar triangles: 0.5 Mark
• Selecting All of the above: 0.5 Mark

Correct Answer: All of the above
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