Answer :

The reason that is used to prove ΔFGH ≅ ΔJHK is SAS property

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other.

According to the question,

Given : (1) ∠FGH and ∠JHK are right angles

(2) H is midpoint of GK

(3) GH ≅ JK

In ΔFGH and ΔJHK

  • ∠FGH = ∠JHK ( right angles )
  • GH ≅ JK (given)
  • GH = KH ( H is midpoint of GK )

Therefore , ΔFGH ≅ ΔJHK using SAS property

Hence , The reason use to prove ΔFGH ≅ ΔJHK is SAS

To know more about Congruent triangles here

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