Respuesta :

Answer:

Step-by-step explanation:

The triangles are congruent (according to the markings) as 2 sides and 1 angle.

The angle MUST be between the two given sides (which it is).

The triangles are congruent by SAS. Choice 4

Answer:

Triangles ABC and DCB are congruent by the Side-Angle-Side Congruence Theorem (option 4)

&

Triangles ABC and DCB are congruent by the Side-Side-Side Congruence Theorem (option 5)

Step-by-step explanation:

Because the markings on both triangles show that sides AC & BD, AB & CD, and angles < CAB & < BDC are congruent, and the angle is included between the sides, the triangles are congruent by the Side-Angle-Side Congruence Theorem.

Since it can also be concluded that side BC ≅ BC from the Reflexive Property of Congruence (stating that all geometrical figures are always congruent to themselves), and it is already known that AC ≅ BD and AB ≅ CD, the triangles are also congruent by the Side-Side-Side Congruence Theorem.

I hope this helps! :)