Triangles J K L and M N R are shown.
In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?

KL ≅ NR
∠L ≅ ∠R
∠K ≅ ∠N
JK ≅ MN

Question

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Respuesta :

akiran007 akiran007 · Answer 1 · 2020-12-27T11:41:55+01:00

Answer:

JK ≅ MN

Step-by-step explanation:

SAS states that any two sides of the angle and the angle itself, if , of two triangles are equal the two triangles are equal.

It is given that ∠J ≅ ∠M and JL ≅ MR i.e an angle and a side are equal. We need one more side to prove that the two triangles are equal.

If we look at the diagram closely we see that the angles J and M are formed by the sides JK & JL and MN& MR.

It is given that JL ≅ MR so we are left with JK ≅ MN

akposevictor akposevictor · Answer 2 · 2021-12-15T18:57:10+01:00

The additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN

Recall:

The SAS Congruence Theorem proves that two triangles are congruent to each other if they have two pairs of congruent sides and a pair of included congruent angles.

The image attached below shows ΔJKL and ΔMNR where we are given the following:

∠J ≅ ∠M (one pair of congruent angles).

JL ≅ MR (one pair of congruent sides).

Therefore, the additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN

Learn more about the SAS Congruence Theorem on:

https://brainly.com/question/2644126