Question

In the figure given below, the two line segments
AC and BD are congruent and also parallel.
Prove that triangle AOC and triangles BOD are congruent​

Answer 1

Answer:

AC = DB ( GIVEN)

ANGLE AOB = ANGLE BOD ( V.O.A)

ANGLE CAB = ANGLE DBA ( Alternate interio angle)

therefore, triangle AOB = triangle BOD ( ASA RULE)

Answer 2

Answer:

ANGLE B=A (ALTERNATE ANGLES)

ANGLE D=C (ALTERNATE ANGLED)

ANGLE BOD=ANGLE AOC (VERTICALLY OPPOSITE ANGLES)

THUS, THE TRIANGLES ARE CONGRUENT BY AAA