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WAEC Mathematics 2018 Paper

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Question : 31

Total: 50

In the diagram, which of the following ratios is equal to

\frac{|PN|}{|PQ|}

$\frac{|PN|}{|PR|}$
$\frac{|PM|}{|PQ|}$
$\frac{|PM|}{|PR|}$
$\frac{|PR|}{|PQ|}$

Solution:

Concept:

Similar triangles formed when a line is drawn parallel to one side of a triangle.

Explanation:

From the diagram,

MN \parallel QR

inside

\triangle PQR

.

Therefore,

\triangle PNM

is similar to

\triangle PQR

.

In similar triangles, corresponding sides are proportional.

Here,

PN

corresponds to

PQ

, and

PM

corresponds to

PR

.

So,

\frac{|PN|}{|PQ|} = \frac{|PM|}{|PR|}

.

Answer:

\frac{|PM|}{|PR|}

, which is option C.

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