Given: ∠GHD and ∠EDH are right; GH ≅ ED

Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles.

Which relationship in the diagram is true?

△GHD ≅ △EDH by SAS
△GHF ≅ △EDF by SSS
△FDH ≅ △FDE by ASA
△HFD ≅ △HFG by SSS

Respuesta :

△GHD ≅ △EDH by SAS Congruency , so Option A is the right answer.

What is a Triangle ?

A triangle is a polygon with three sides , three angles and three vertices.

It is given that

∠GHD and ∠EDH are right

GH ≅ ED Triangles G H D and E D H overlap and intersect at point F.

The triangles share side H D.

Sides G H and E D are congruent.

angles G H D and E D H are right angles.

Given that in triangles GHD and EDH

∠ GHD ≅ ∠ EDH (given)

GH = ED, (given)

side HD=  HD (common side )

△GHD ≅ △EDH (side angle side )

Therefore, the correct option is A

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Answer: Option 1 or A. △GHD ≅ △EDH by SAS

Step-by-step explanation:

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