Question

Given: AB≅ DC,AB⊥ AC,DC⊥ DB Prove: △ABC≅△DCB

Answer 1

The triangles ABC and DCB are congruent using the SAS postulate.

Step-by-step explanation:

Given that AB is equal to DC, AB is perpendicular to AC, and DC is perpendicular to DB, we can prove that triangle ABC is congruent to triangle DCB.

This can be proven using the SAS (Side-Angle-Side) congruence postulate. Since AB is equal to DC and AB is perpendicular to AC, we can conclude that angle BAC is congruent to angle BDC, as they are both right angles. Additionally, we know that segment AC is common to both triangles ABC and DCB.

Therefore, using the SAS postulate, we can conclude that triangle ABC is congruent to triangle DCB.