Question

The triangles shown are congruent.

Answer 1

As the triangles are congruent

We have to show the congruence in such a way that the sides which are equal for both triangles , are written in same order

As we can see in the figure

Side BL = PF And BG=PX

And Angle B = Angle B

BLG is congruent to PFX

Answer is BLG

Answer 2

Answer: ΔBLG ≅ ΔPFX

Step-by-step explanation:

In the given picture , we have two triangles ΔBLG and ΔPFX having two corresponding sides and one included angle are congruent.

i.e. BL=PF  [given]

BG=PX    [given]

∠B=∠P    [given]

Then by by SAS congruence postulate , we have

ΔBLG ≅ ΔPFX

 [Since B corresponds p , L corresponds F and G corresponds X]