Geometry Test

A square is a rhombus.

• Always True

• Sometimes True

• Never True

Answer explanation

A square is a specific type of rhombus where all angles are right angles. Since all squares meet the definition of a rhombus (four equal sides), the statement is always true.

A square is a rectangle.

• Always True

• Sometimes True

• Never True

Answer explanation

A square is a specific type of rectangle where all sides are equal. Therefore, it is always true that a square is a rectangle.

A square is a parallelogram.

• Always True

• Sometimes True

• Never True

Answer explanation

A square is a specific type of parallelogram with all sides equal and angles at 90 degrees. Since all squares meet the definition of a parallelogram, the statement is always true.

A parallelogram is a rectangle.

• Always True

• Sometimes True

• Never True

Answer explanation

A parallelogram can be a rectangle if it has right angles. However, not all parallelograms are rectangles, so the statement is sometimes true.

A triangle is a kite.

• Always True

• Sometimes True

• Never True

Answer explanation

A triangle cannot be a kite because a kite is defined as a quadrilateral with two distinct pairs of adjacent sides that are equal. Since a triangle has only three sides, it can never meet the criteria of a kite.

A trapezoid is a quadrilateral.

• Always True

• Sometimes True

• Never True

Answer explanation

A trapezoid is defined as a quadrilateral with at least one pair of parallel sides. Since all trapezoids are quadrilaterals by definition, the statement is always true.

In the table below, select the box to determine if each statement about quadrilaterals is true or false. Statement: All rectangles are squares.

• True

• False

Answer explanation

The statement is false because while all squares are rectangles (having four right angles), not all rectangles are squares. Rectangles can have unequal side lengths, whereas squares have all sides equal.

Every parallelogram is a rectangle.

• True

• False

Answer explanation

The statement is false because while all rectangles are parallelograms, not all parallelograms are rectangles. A parallelogram only requires opposite sides to be equal, while a rectangle requires all angles to be right angles.

All squares are trapezoids.

• True

• False

Answer explanation

The statement is false because while all squares are quadrilaterals, not all trapezoids are squares. A trapezoid is defined as having at least one pair of parallel sides, which does not apply to all squares.

Every square is a rhombus.

• True

• False

Answer explanation

Every square has all sides equal and opposite angles equal, which satisfies the definition of a rhombus. Therefore, it is true that every square is a rhombus.