Which postulate or theorem proves that these two triangles are congruent?

Asked by maham237 @ 17/12/2020 in Mathematics viewed by 315 People

Which postulate or theorem proves that these two triangles are congruent? SAS Congruence Postulate AAS Congruence Theorem HL Congruence Theorem ASA Congruence PostulateQuadrilateral F G H J with a line segment connecting vertices J and G. Angles F and H are each labeled with 1 arc. Angles F G J and H J G are each labeled with 2 arcs.

Answered by maham237 @ 17/12/2020

ANSWER

Two triangles are congruent by the AAS Congruence Theorem

Reason

AAS congurence property

In this property two angles and one side of two triangles are equal.

diagram is shown below

In the quadilateral FGHL their exit two triangle .

in the ΔFGJ and ΔGHJ .

∠GFJ = ∠GHJ ( As given )

∠FGJ = ∠GJH ( As given )

JG = JG ( Common )

ΔFGJ ≅ ΔGHJ

by using the AAS congurence property .

Hence proved

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