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For the following figure, name each figure that is a rectangle and a rhombus.

Short Answer

Expert verified

The figures that represent a rectangle and a rhombus are 2,9.

Step by step solution

01

Step 1. Apply the concept of rectangle and rhombus.

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length.

02

Step 2. observe the figure

Consider the figure.

03

Step 3. step description.

From the figures, Figures 2 and 9 have all sides of equal length, and all angles measure 90 degrees.

Therefore, the figures that represent a rectangle and a rhombus are 2 and 9.

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