You visited us 1 times! Enjoying our articles? Unlock Full Access!

SSS Criteria for Congruency

If in two tri...

Question

If in two triangles $P Q R$ and $D E F$ , $P R = E F$ , $Q R = D E$ and $P Q = F D$ , then $△ P Q R ≅$ $△$ ___.

F D E

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D E F

No worries! We‘ve got your back. Try BYJU‘S free classes today!

F E D

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D F E

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $F D E$
Given: $P R = E F$ , $Q R = D E$ and $P Q = F D$
Now, In $△ P R Q$ and $△ D E F$
$P R = E F$
$Q R = D E$
$P Q = F D$
Thus, $△ P Q R ≅ △ F D E$ (SSS rule).

Suggest Corrections

Similar questions

△

≅

△

h y p o t e n u s e P Q = h y p o t e n u s e E F

P R = D E

△ P Q R ≅

△ . . . . .

△ P Q R,

P Q = 4

Q R = 3

R P = 3.5

△ D E F

△ P Q R .

E F = 9

△ D E F ?

In triangle DEF and PQR, DE = PQ, EF = QR. ∠E = ∠Q. so the triangles are congruent using.

Δ D E F a n d Δ P Q R, ∠ D = ∠ Q a n d ∠ R = ∠ E

\frac{E F}{P R} = \frac{D F}{P Q}

\frac{D E}{P Q} = \frac{E F}{R P}

\frac{D E}{Q R} = \frac{D F}{P Q}

\frac{E F}{R P} = \frac{D E}{Q R}

Join BYJU'S Learning Program