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kolezko [41]
4 years ago
15

Write all the names of the quadrilateral shown.​

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
8 0

Answer:

see explanations

Step-by-step explanation:

The given figure has four equal sides, and all adjacent sides are perpendicular to each other.

Quadrilateral is a any figure with four sides.

Particular quadrilaterals have specific names.

A square is a quadrilateral with equal sides, each perpendicular to the adjacent side, as shown in the figure.

A rectangle is a quadrilateral of which all sides are perpendicular to the adjacents.  Therefore opposite sides are equal.  Adjacent sides MAY or MAY NOT be equal.   Therefore a square is also a rectangle.

A rhombus is a quadrilateral of which all four sides are equal, but adjacent sides MAY or MAY NOT be perpendicular.  Therefore a square is also a rhombus.

A trapezoid (or trapezium, depending on which side of the atlantic you live) is a quadrilateral with AT LEAST one pair of parallel sides.  The other pair may or may not be equal, may or may not be parallel.  Therefore a square is also a trapezoid (trapezium).

A quadrilateral is any plane figure with four sides, which may or may not be parallel, may or may not be equal, and adjacent sides may or may not be perpendicular.  Therefore a square is also a quadrilateral.

So the given figure could be given all six possible names indicated in bold.  However, the name square is most specific.

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