An illustration shows two congruent triangles sharing a common side.

Question

Justus wants to explain why △ABC≅△ABD
using the SSS Congruence Theorem. In his explanation, which sides will he say are congruent by the reflexive property of congruence?

Option #1: AB¯¯¯¯¯¯¯¯
and AB¯¯¯¯¯¯¯¯


Option #2: AC¯¯¯¯¯¯¯¯
and AC¯¯¯¯¯¯¯¯


Option #3: BC¯¯¯¯¯¯¯¯
and BD¯¯¯¯¯¯¯¯


Option #4: AD¯¯¯¯¯¯¯¯
and AD¯¯¯¯¯¯¯¯


Option #5: AC¯¯¯¯¯¯¯¯
and AD¯¯¯¯¯¯¯¯


(1 point)
Justus will say that the sides listed in Option #
are congruent by the reflexive property of congruence.

Answer 1

Justus will say that the sides listed in Option #4 are congruent by the reflexive property of congruence.

This is because the side \( AD \) is common to both triangles \( \triangle ABC \) and \( \triangle ABD \), making it congruent to itself. The reflexive property states that any geometric figure is congruent to itself.