Maths-
General
Easy

Question

Prove that triangles AEB and CED are congruent, provided that AB || CD. Name the postulate that you used.

hintHint:

Alternative interior angles are equal.

The correct answer is: two Angles and an included Side of triangle AEB are congruent to two Angles and the included Side of triangle CED. It means that triangles are congruent by ASA congruency postulate. Hence Proved


    In the figure, straight angle AEB equals straight angle DEC
    (\vertically opposite angles)
    text  Since  end text A B parallel to C D text , implies  end text straight angle ABE equals straight angle EDC
    (\ alternative interior angles)
    And side BE = ED          (included side)
    i.e. two Angles and an included Side of  triangle AEB are congruent to two Angles and the included Side of triangle CED. It means that triangles are congruent by ASA congruency postulate.
    Hence Proved

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