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Which postulate or theorem proves that △JHG and △EFG are congruent?



​ SAS Congruence Postulate ​

​ ASA Congruence Postulate ​

​ HL Congruence Theorem ​

​ AAS Congruence Theorem ​

Which postulate or theorem proves that JHG and EFG are congruent SAS Congruence Postulate ASA Congruence Postulate HL Congruence Theorem AAS Congruence Theorem class=

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abbywellman
the asa congruence postulate

The postulate that proves that △JHG and △EFG are congruent is;

Option B; ​ ASA Congruence Postulate ​

From the given image, we can see two triangles namely;

△JHG and △EFG

Now, we can see that;

FG = GH

That is given because we see that G has divided FH into 2 equal parts.

Also, we see the right angle sign at ∠F and ∠H of both triangles.

Thus, since they are both right angles, then we can say that;

∠EFG = ∠JHG

Also, at point G, we have two vertically opposite angles which are;

∠EGF and ∠JGH

Now, from vertically opposite angle theorem, vertically opposite angles are always equal;

Thus; ∠EGF = ∠JGH

So far, we have;

FG = GH

∠EFG = ∠JHG

∠EGF = ∠JGH

This is 2 corresponding equal angles and 1 corresponding equal side. The side is included between the two angles and as such the proof that  △JHG and △EFG are congruent is the ASA Congruence Postulate.

Read more at; https://brainly.com/question/19413244

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