The figure shown represents a structural portion of the Eiffel Tower. Can the triangles be proven congruent? answers: A) Yes, ΔM

Question

shutvik [7]

4 years ago

14

The figure shown represents a structural portion of the Eiffel Tower. Can the triangles be proven congruent? answers: A) Yes, ΔM

NO ≅ ΔPON by HL. B) Yes, ΔMNO ≅ ΔPON by SAS. C) Yes, ΔNOM ≅ ΔPON by AAS. D) Yes, ΔONM ≅ ΔPON by SSS.

Mathematics

1 answer:

dybincka [34] · Answer 1 · 2022-02-21T17:47:28+03:00

Answer:

B) Yes, ΔMNO ≅ ΔPON by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.