Question

understanding classifications of quadrilaterals
complete the statements.
a square is a parallelogram.
a rectangle a trapezoid.
a rhombus a square.
a quadrilateral is a kite.

Explanation:

Step1: Analyze the relationship between square and parallelogram

A square has two pairs of parallel sides, which satisfies the definition of a parallelogram. So a square is always a parallelogram.

Step2: Analyze the relationship between rectangle and trapezoid

A rectangle has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides. So a rectangle is never a trapezoid.

Step3: Analyze the relationship between rhombus and square

A rhombus has all sides equal. When a rhombus has right - angles (in addition to all sides equal), it is a square. So a rhombus is sometimes a square.

Step4: Analyze the relationship between quadrilateral and kite

A quadrilateral is a four - sided figure. A kite is a special type of quadrilateral. So a quadrilateral is sometimes a kite.

Answer:

A square is always a parallelogram.
A rectangle is never a trapezoid.
A rhombus is sometimes a square.
A quadrilateral is sometimes a kite.