Question

Determine which postulate or theorem can be used to prove that SEA ~ PEN.

A. SSS
B. SAS
C. AAS
D. ASA.

Answer 1

option D is correct

`\triangle SEA \cong \triangle PEN` by ASA

Explanation:

In triangle SEA and triangle PEN

`\angle ASE \cong \angle NPE` [Angle] [Given]

`\overline{SE} \cong \overline{PE}` [Side] [Given]

Vertically opposite angles states that the angles opposite to each other and are equal.

`\angle ASE \cong \angle NPE` [Vertically opposite Angle]

ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.

by ASA Postulates:

`\triangle SEA \cong \triangle PEN`

Answer 2

ASA (Angle Side Angle)  Postulate can be used to prove that SEA ~ PEN. So, The right answer would be D. (ASA)