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. . We are given four options kite, rhombus, trapezoid, and square.
STEP 2
Define the properties of a rectangle.A rectangle is a four-sided polygon (quadrilateral) where all interior angles are right angles (90 degrees). Additionally, opposite sides of a rectangle are equal in length.
STEP 3
Evaluate each option based on the properties of a rectangle.
1. Kite A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. However, not all angles in a kite are right angles. Therefore, a kite cannot be categorized as a rectangle.
2. Rhombus A rhombus is a quadrilateral with all sides equal in length. While a rhombus can have right angles, not all rhombi do. Therefore, a rhombus cannot always be categorized as a rectangle.
3. Trapezoid A trapezoid is a quadrilateral with at least one pair of parallel sides. However, not all angles in a trapezoid are right angles and not all sides are equal in length. Therefore, a trapezoid cannot be categorized as a rectangle.
. Square A square is a quadrilateral with all sides equal in length and all interior angles are right angles. Therefore, a square can also be categorized as a rectangle.
STEP 4
Based on the evaluation in3, the polygon that can also be categorized as a rectangle is a square.
The solution is square.
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