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. To show that ΔFGH ≅ ΔJKL by SAS, what additional information is needed? Check all that apply. FH ≅ JL and FG ≅ JK FH ≅ JL and HG ≅ LK ∠G ≅ ∠K and FH ≅ JL ∠G ≅ ∠K and GH ≅ KL ∠G ≅ ∠K and FG ≅ JK

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Answer:

GH ≅ KL, ∠G ≅ ∠K and FG ≅ JK.

Step-by-step explanation:

In the given triangles FGH and JKL if we want to prove them congruent by using SAS property then we will have to show their two sides equal in size and angle between them should be equal.

Therefore by this property

sides GH ≅ KL

FG ≅ JK and ∠G ≅ ∠K

So last option is the right one.

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The criterion which is needed to prove the triangles to be congruent will be GH ≅ KL, ∠G ≅ ∠K, and FG ≅ JK.

It is required to prove  ΔFGH ≅ ΔJKL by SAS.

SAS congruency rule is the side-angle-side rule in which two adjacent sides are congruent and the angle between these sides should also be congruent.

So, for proving the triangles to be congruent, the following information should be needed:

  • GH ≅ KL.
  • ∠G ≅ ∠K and
  • FG ≅ JK

So, by using SAS congruency rule, the given triangles will be congruent.

ΔFGH ≅ ΔJKL.

Therefore, the criterion which is needed to prove the triangles to be congruent will be GH ≅ KL, ∠G ≅ ∠K, and FG ≅ JK.

For more details, refer to the link:

https://brainly.com/question/19883734

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