Question

which statements are true? check all that apply.
a square is sometimes a rhombus.
a rectangle is sometimes a square.
a parallelogram is sometimes a kite.
a square is always a rhombus.
a trapezoid is never a kite.

Explanation:

• A square has all the properties of a rhombus (all sides equal, opposite sides parallel), so a square is always a rhombus, not sometimes.
• A rectangle with all sides equal is a square, so a rectangle is sometimes a square.
• A parallelogram with two pairs of adjacent sides equal is a kite, so a parallelogram is sometimes a kite.
• A trapezoid has only one pair of parallel sides, while a rhombus has two pairs of parallel sides, so a trapezoid is never a rhombus.

Answer:

B. A rectangle is sometimes a square.
C. A parallelogram is sometimes a kite.
D. A square is always a rhombus.
E. A trapezoid is never a kite.