Question

What triangle congruence postulate would prove that the two triangles are congruent? A triangle B L G is made Another triangle P F X is drawn The sides B L and P F are labeled with a single tick mark The sides B G and P X are labeled with a double tick mark The angle L B G and angle F P X are marked equal SSS ASA AAS SAS

Answer 1

Answer:

Option 4, SAS

Step-by-step explanation:

Given information: BL=PF, BG=PX and m∠LBG=m∠FPX.

In triangle BLG and triangle PFX,

BL=PF                                 (Given)

m∠LBG=m∠FPX                (Given)

BG=PX                                 (Given)

Two triangles are congruent if two corresponding sides and included angle are congruent.

Two sides and the included angle of triangle BLG are equal to two sides and the included angle of another triangle PFX. By SAS postulate we can say that

$\triangle BLG\cong \triangle PFX$               (By SAS)

Therefore, the correct option is 4.