Question

Been stuck on this one, any help would be appreciated

Answer 1

★ Answer :

Yes, triangles ABC and triangle DEF are congruent by ASA congruency rule (Angle side angle)

→ Proof :

We know that,

For proofing that two triangles are congruent we have to prove that three sides or angles or sides and angles of both the triangles must be equal.

So, A.T.Q

In ∆ ABC and ∆ DEF

AB = EF (Both are of 7 cm)

$\sf{ \angle{BAC} = \angle{DFE}}$ (Both are of 50°)

$\sf{ \angle{ABC} = \angle{DEF}}$ (Both are of 35°)

So, by ASA similarity rule ∆ ABC $\cong$ ∆ DEF.

Hence Proved