HELP PLEASE!!! I NEED TO RAISE MY GEOMETRY GRADE!! Given that H is the midpoint of FK and that ∠F≅∠K, which of the following triangle congruence statements can be used to prove that JK≅FG?

The important thing to notice here is that angle FHG is equal to angle JHK due to vertical angles. That means we have two angles and a side that are equal to each other.

So the two triangles are congruent due to Angle Side Angle.

The answer is C.

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saimaparvezVT saimaparvezVT · Answer 2 · 2022-07-21T08:36:19+02:00

The two triangles are congruent due to Angle Side Angle which is correct option(B).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

According to ΔFHG and ΔJHK,

In triangles, angle ∠FHG is equal to angle ∠JHK due to vertical angles.

∠FHG = ∠JHK

∵ ∠F≅∠K

Given that, H is the midpoint of KF,

So, side FH = side HK

That means we have two angles and one side that are equal to each other.

So, the two triangles are congruent due to Angle Side Angle.

Learn more about of congruent triangles

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