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Step 1: we know that angle a b c is-congruent-to angle f g h because all right angles are congruent. step 2: we know that angle b a c is-congruent-to angle g f h because corresponding angles of parallel lines are congruent. step 3: we know that line segment b c is-congruent-to line segment g h because it is given. step 4: triangle a b c is-congruent-to triangle f g h because of the asa congruence theorem. aas congruence theorem. third angle theorem. reflexive property.

Answer :

Based on the given steps the triangle ABC will be Congruent to triangle FGH because of the AAS Congruence .

What is AAS Congruence ?

the two triangle are said to be congruent based on the AAS Congruence when 2 angles and 1 non included side in one triangle are congruent to corresponding 2 angles and 1 non included side in another triangle.

So , in the question , based on the given steps we can say that ,
the two angles that are congruent is angle G and B , and angle A and angle F .

and the side that is congruent is BC = GH .

So  the triangle ABC and triangle FGH are congruent by AAS congruence .

Therefore , the correct option is (b) AAS Congruence Theorem .

The given question is incomplete , the complete question is

Step 1: we know that angle a b c is-congruent-to angle f g h because all right angles are congruent.

Step 2: we know that angle b a c is-congruent-to angle g f h because corresponding angles of parallel lines are congruent.

Step 3: we know that line segment b c is-congruent-to line segment g h because it is given.

Step 4: triangle a b c is-congruent-to triangle f g h because of the

(a) ASA congruence theorem.

(b) AAS congruence theorem.

(c) Third angle theorem.

(d) Reflexive property.

Learn more about Congruence here

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