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Chapter 10: Problem 52

Explain why rectangles and rhombuses are also parallelograms.

Short Answer

Expert verified
Rectangles and rhombuses are also categorised as parallelograms because they share the key defining properties of parallelograms: their opposite sides are equal in length and parallel, and their opposite angles are equal.

Step by step solution

01

Define a parallelogram

A parallelogram is a four-sided figure, or quadrilateral, with opposite sides that are equal in length and parallel. In addition, the opposite angles of a parallelogram are equal.
02

Define a rectangle and identify its properties.

A rectangle is a four-sided figure with all four angles equal to 90 degrees. The opposite sides of a rectangle are equal in length and parallel. Therefore, following the definition of a parallelogram, a rectangle is a parallelogram.
03

Define a rhombus and identify its properties

A rhombus is a four-sided figure with all four sides equal in length. Opposite sides are parallel and opposite angles are equal. Therefore, following the definition of a parallelogram, a rhombus is also a parallelogram.

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