Question

The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL?

RQ
PQ
PR
LM

Answer 1

I would say RQ (The first choice).

Since the ratios need to be the equivalent for each pair of corresponding sides, you can see that:

`(10)/(20)=(14)/(28)=(12)/(24)`.

In which all the ratios are equivalent to
`(1)/(2)`.

Therefore, NM corresponds to QP, ML corresponds to PR, and LN corresponds to RQ. So, RQ corresponds to LN.

Have a great day!

Answer 2

In ΔLMN ⇒ LM = 14 , MN= 10 and LN = 12

In ΔPRQ ⇒ PR =28 , QP = 20 and QR = 24

∴ PR/LM = 28/14 = 2

And QP/MN = 20/10 = 2

And QR/LN = 24/12 = 2

∴ ΔPRQ is similar to Δ LMN by PPP

∴QR is corresponds to side LN in triangle MNL

So, the correct answer is the first option