Question

Given that GK is the perpendicular bisector of JH which two triangles are congruent by the HL theorem?

Answer 1

JGK is congruent to HGK

Answer 2

`\triangle GKJ` is congruent to
`\triangle GKH`

Explanation:

HL theorem:

According to HL theorem(hypotenuse leg theorem) in a right triangle if hypotenuse and one side of triangle are congruent to the hypotenuse and one side of other triangle then these two right angle triangles are congruent.

As shown in figure GK is the perpendicular bisector of JH.

and in
`\triangle GKJ` and
`\triangle GKH`

JK=KH (GK bisect JH)

GK =GK (common)

GJ=GH (hypotenuse)

Therefore, By HL theorem

`\triangle GKJ` is congruent to
`\triangle GKH`