FTCE Professional Education Practice Exam

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What are the properties of a parallelogram?

  1. Only one pair of opposite sides are congruent

  2. Two pairs of parallel sides

  3. All angles are right angles

  4. Only one pair of angles are supplementary

The correct answer is: Two pairs of parallel sides

A parallelogram is defined by several key properties that characterize its structure, and one of the most fundamental is that it has two pairs of parallel sides. This means that opposite sides are not only equal in length but also run parallel to each other, forming a shape where the sides will never converge. This parallelism is essential, as it ensures that opposite angles are also equal and that the adjacent angles are supplementary. The presence of two pairs of parallel sides sets parallelograms apart from other quadrilaterals. It is this property that also leads to other conclusions, such as the relationships between the angles and sides of the shape. Recognizing this property is crucial for understanding both the basic geometry of parallelograms and their practical applications in various mathematical problems. In contrast, the other answer choices present incorrect statements about the properties of parallelograms. While some may hold true for specific types of quadrilaterals, they do not apply generally to all parallelograms.

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