1. a rhombus is sometimes a square. 2. a square is always a rhombus. 3. a triangle is never a quadrilateral. 4. a square is always a rectangle. 5. a rectangle is always a parallelogram.

Question

Accepted Answer

### 1. A rhombus is sometimes a square.
# Brief Explanations:
A rhombus has 4 equal sides. A square has 4 equal sides and 4 right angles. A rhombus with right angles is a square, so sometimes it is a square.
# Answer: sometimes (This statement is correct)

### 2. A square is always a rhombus.
# Brief Explanations:
A rhombus requires 4 equal - length sides. A square has 4 equal - length sides, so a square meets the definition of a rhombus.
# Answer: always (This statement is correct)

### 3. A triangle is never a quadrilateral.
# Brief Explanations:
A quadrilateral has 4 sides, and a triangle has 3 sides. So a triangle can never be a quadrilateral.
# Answer: never (This statement is correct)

### 4. A square is always a rectangle.
# Brief Explanations:
A rectangle has 4 right angles and opposite sides equal. A square has 4 right angles and all sides equal (so opposite sides are equal), so a square meets the definition of a rectangle.
# Answer: always (This statement is correct)

### 5. A rectangle is always a parallelogram.
# Brief Explanations:
A parallelogram has opposite sides parallel and equal. A rectangle has opposite sides parallel and equal (and 4 right angles), so a rectangle meets the definition of a parallelogram.
# Answer: always (This statement is correct)

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QUESTION IMAGE

Question

Explanation:

1. A rhombus is sometimes a square.

Answer:

2. A square is always a rhombus.