Question

In DEF and PQR, where DE=2cm, EF=3cm, ∠

DEF= 60

and PQ = 6cm,QR = 9cm and ∠ PQR = 60

. Show

that these are similar triangles with appropriate criteria.​

Answer 1

In ΔDEF and ΔPQR

DE/PQ = EF/QR = 1/3

∠DEF = ∠PQR

∴ The ΔDEF is similar to ΔPQR by SAS similarity criterion

Plz.. mark it as BRAINLIEST

Answer 2

Answer:

ATQ

Angle DEF= Angle PQR= 60  (eq.1)

Side DE= 2cm, EF= 3cm in Triangle DEF and PQ= 6cm, QR= 9cm in Triangle PQR respectively.

From this it can be noted that

DE/PQ=EF/QR=⅓

Therefore, two sides of the triangles are in equal proportion and the angle in between is equal(from eq.1)

We can say Triangle DEF is similar to Triangle PQR by SAS criteria.