Question

# - If AB || CD, prove that the triangles ADB and CBD are congruent by ASA postulate.

Hint:

### Alternative interior angles are equal

## The correct answer is: two Angles and an included Side of triangle ABD are congruent to two Angles and the included Side of triangle BCD. It means that triangles are congruent by ASA congruency postulate.

In the figure,

Since AB || CD ,

Side BD = BD (included side)

i.e. two Angles and an included Side of triangle ABD are congruent to two Angles and the included Side of triangle BCD. It means that triangles are congruent by ASA congruency postulate.

Hence Proved

i.e. two Angles and an included Side of triangle ABD are congruent to two Angles and the included Side of triangle BCD. It means that triangles are congruent by ASA congruency postulate.

Hence Proved

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