Question

which congruence property could you use to prove these two triangles are congruent?○ sss○ sas○ neither sss or sas○ both sss and sas

Explanation:

1. First, identify the given congruent parts:

• The two upper sides of the triangles are marked congruent.
• The two angles between the marked side, the shared angle bisector, are marked congruent.
• The middle segment (angle bisector) is a common side to both triangles, so it is congruent to itself.

1. Check the SAS (Side-Angle-Side) criterion: We have two pairs of congruent sides (the marked upper side, the common middle side) with the included congruent angle between them. This satisfies SAS.
2. Check the SSS (Side-Side-Side) criterion: We only know two pairs of congruent sides (the marked upper sides and the common middle side). The third pair of sides (the bottom segments) are not marked or proven congruent, so SSS is not satisfied.

Answer:

SAS