FTCE General Knowledge Math Practice Test 2025 - Free Practice Questions and Study Guide

Question: 1 / 400

True or False: All parallelograms are rectangles?

True

False

A statement that asserts "All parallelograms are rectangles" is false. While it is true that rectangles are a specific type of parallelogram, not all parallelograms possess the defining characteristics of rectangles. A parallelogram is defined as a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length. Rectangles, on the other hand, are parallelograms with right angles at each corner.

This means that while every rectangle qualifies as a parallelogram due to its parallel and equal opposite sides, the reverse does not hold true. There are many examples of parallelograms that do not have right angles, such as rhombuses or regular parallelograms with angles that are not 90 degrees. Therefore, the assertion that all parallelograms are rectangles is incorrect, validating the response that the answer is false.

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