Question

Given that ABCD is a parallelogram and AB is parallel to CD, which of the following statements is false? (1 point)

Sides AB and CD are congruent.
O Angles A and C are congruent.
It
O AD is parallel to BC
Ite
O Angles A and B are congruent.
Ite

Answer 1

The correct option is;

Angle A and B are congruent

Explanation:

The given parameters are;

Quadrilateral ABCD = Parallelogram

Side AB is parallel to CD

Therefore, we have for properties of a parallelogram

Opposite sides are parallel

Therefore, AB and CD are opposite sides

Opposite sides are congruent

Opposite angles are congruent, therefore ∠A and ∠C are congruent and ∠B and ∠D are congruent (depending on the orientation of side CD)

Consecutive angles are supplementary, therefore, ∠A and ∠B are supplementary angles and ∠C and ∠D are supplementary angles

Therefore, the statement which is false is Angle ∠A and ∠B are congruent.