Question

5. Given the markings on the

triangles, prove the
triangles congruent.
A
B
C
D

Answer 1

DA is congruent to DC (given)

DB is perpendicular to AC (given).

DBA and DBC are right angles (definition of perpendicular lines).

DBA and DBC are congruent (right angles are congruent).

DB is congruent to itself (reflexive property).

∆DBA is congruent to ∆DBC (HL).