true or false
a square is a rectangle
true or false
a rectangle is a trapezoid
true or false
a rhombus is a square
true or false
a rhombus is a parallelogram
true or false
all quadrilaterals have 4 right angles.

Question

Accepted Answer

### 1. A square is a rectangle
# Brief Explanations:
A rectangle is defined as a quadrilateral with four right angles and opposite sides equal. A square has four right angles, four equal sides (so opposite sides are equal), satisfying the rectangle’s definition. Thus, a square is a special type of rectangle.
# Answer: True

### 2. A rectangle is a trapezoid
# Brief Explanations:
A trapezoid (in the inclusive definition) is a quadrilateral with at least one pair of parallel sides. A rectangle has two pairs of parallel sides, so it meets the trapezoid’s criteria (with two pairs of parallel sides).
# Answer: True

### 3. A rhombus is a square
# Brief Explanations:
A square requires four right angles and four equal sides. A rhombus has four equal sides but does not necessarily have right angles (e.g., a rhombus with angles of 60° and 120°). Thus, not all rhombuses are squares.
# Answer: False

### 4. A rhombus is a parallelogram
# Brief Explanations:
A parallelogram is a quadrilateral with two pairs of parallel sides. A rhombus has two pairs of parallel sides (and four equal sides), so it satisfies the parallelogram’s definition.
# Answer: True

### 5. All quadrilaterals have 4 right angles
# Brief Explanations:
A quadrilateral is any four - sided polygon. Examples like trapezoids (with non - right angles), rhombuses (with non - right angles in general), and parallelograms (with non - right angles in general) show that not all quadrilaterals have four right angles. Only specific types like rectangles and squares have four right angles.
# Answer: False

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QUESTION IMAGE

Question

Explanation:

1. A square is a rectangle

Answer:

2. A rectangle is a trapezoid