ADCD by definition
of a midpoint
ABCB by definition
of a midpoint
ZBDA
ZBDC
because all right angles
are congruent
LA Cis
given.
D is the
midpoint of AC
is given.
AC1 BD is
given.
ABCB by CPCTC
ZABDZCBD
because all right angles
are congruent.
AABD ACBD
by ASA
AABC is an
isosceles
triangle

ADCD by definition of a midpoint ABCB by definition of a midpoint ZBDA ZBDC because all right angles are congruent LA Cis given D is the midpoint of AC is given class=