Question

7 if a quadrilateral has four right angles then the quadrilateral is a | | true | false
parallelogram | ○ | ○
rectangle | ○ | ○
square | ○ | ○
rhombus | ○ | ○

Explanation:

• Parallelogram: A parallelogram has opposite sides parallel and equal. If a quadrilateral has four right angles, opposite sides are parallel (since consecutive angles are supplementary, and right angles make consecutive angles 90° + 90° = 180°, so sides are parallel) and equal, so it is a parallelogram. So "True" for parallelogram.
• Rectangle: By definition, a rectangle is a quadrilateral with four right angles. So if a quadrilateral has four right angles, it is a rectangle. So "True" for rectangle.
• Square: A square is a special case of a rectangle with all sides equal. If a quadrilateral has four right angles, it could be a square (if all sides are equal) or just a rectangle (with sides not necessarily equal). But since a square is a type of quadrilateral with four right angles, the statement "if a quadrilateral has four right angles then it is a square" is not always true (because it could be a non - square rectangle), but wait, the question is "if a quadrilateral has four right angles then the quadrilateral is a [shape]" - for square, a quadrilateral with four right angles can be a square (if sides are equal) or not. But actually, the set of quadrilaterals with four right angles includes squares (since squares have four right angles). Wait, no - the implication is "if four right angles, then it is a square". But a rectangle with length 2 and width 1 has four right angles but is not a square. So the statement "if a quadrilateral has four right angles then it is a square" is false? Wait, no - the question is "the quadrilateral is a square" - so if a quadrilateral has four right angles, is it necessarily a square? No, because it could be a non - square rectangle. But wait, a square is a quadrilateral with four right angles and four equal sides. So a quadrilateral with four right angles may or may not be a square. But the question is "if a quadrilateral has four right angles then the quadrilateral is a square" - is this true? No, because there are rectangles that are not squares. But wait, the problem is to mark True or False for each shape. For square: A quadrilateral with four right angles is a square? No, because it can be a rectangle with different side lengths. So "False" for square? Wait, no - a square is a quadrilateral with four right angles, so a quadrilateral with four right angles is a square only if all sides are equal. So the statement "if four right angles, then it is a square" is not always true. But actually, the set of quadrilaterals with four right angles is the set of rectangles, and squares are a subset of rectangles. So a quadrilateral with four right angles is a square only when it has all sides equal. So the implication "if four right angles, then it is a square" is false (because there are non - square rectangles).
• Rhombus: A rhombus has all sides equal, but its angles are not necessarily right angles. A rhombus with right angles is a square. So a quadrilateral with four right angles is not necessarily a rhombus (unless all sides are equal). So "False" for rhombus.

Answer:

• parallelogram: True
• rectangle: True
• square: False
• rhombus: False

(To mark the circles: For parallelogram, mark the circle under "True"; for rectangle, mark the circle under "True"; for square, mark the circle under "False"; for rhombus, mark the circle under "False")