Math

QuestionWhich polygon is also a rectangle: kite, rhombus, trapezoid, or square?

Studdy Solution

STEP 1

Assumptions1. We are looking for a polygon that can also be categorized as a rectangle. . The options given are kite, rhombus, trapezoid, and square.

STEP 2

A rectangle is a polygon with four sides, where all interior angles are right angles (90 degrees) and opposite sides are equal.

STEP 3

Now we will analyze each option based on the properties of a rectangle.

STEP 4

A kite is a quadrilateral (four-sided polygon) with two pairs of adjacent sides that are equal, but it does not necessarily have right angles or opposite sides of equal length. Therefore, a kite cannot be categorized as a rectangle.

STEP 5

A rhombus is a quadrilateral with all sides of equal length. It does not necessarily have right angles, so a rhombus cannot be categorized as a rectangle.

STEP 6

A trapezoid is a quadrilateral with at least one pair of parallel sides. It does not necessarily have right angles or opposite sides of equal length, so a trapezoid cannot be categorized as a rectangle.

STEP 7

A square is a quadrilateral with all sides of equal length and all interior angles are right angles. Therefore, a square can be categorized as a rectangle.
So, the polygon which can also be categorized as a rectangle is a square.

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