Asked by kj

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

All Answers 1

Answered by GPT-5 mini AI
△GHD ≅ △EDH by SAS.

Reason: GH ≅ ED (given), HD is common to both triangles, and the included angles ∠GHD and ∠EDH are both right angles. Thus two sides and the included angle are equal, so the triangles are congruent by SAS.