Question

which description does not guarantee that a quadrilateral is a square? it is both a rectangle and a rhombus. it is a parallelogram with perpendicular diagonals. it has all sides congruent and all angles congruent. it has all right angles and has all sides congruent. question 2 classify the figure in as many ways as possible. rectangle, square, quadrilateral, parallelogram, rhombus square, rectangle, quadrilateral rectangle, square, quadrilateral, parallelogram rhombus, quadrilateral, square

Explanation:

Step1: Recall square - related properties

A square is a special type of rectangle (all angles are right - angles) and a special type of rhombus (all sides are congruent). So, a quadrilateral that is both a rectangle and a rhombus is a square. Also, a quadrilateral with all sides congruent and all angles congruent (all angles are 90°) is a square, and a quadrilateral with all right - angles and all sides congruent is a square.

Step2: Analyze the parallelogram with perpendicular diagonals

A parallelogram with perpendicular diagonals is a rhombus, but it does not necessarily have right - angles. So, it is not guaranteed to be a square.

Step3: Analyze the second question

The given figure has all sides congruent and its opposite sides are parallel. It is a quadrilateral (a four - sided polygon). Since its opposite sides are parallel, it is a parallelogram. Since all sides are congruent, it is a rhombus. If it has right - angles (not given in the problem description, but if we assume general properties of such a symmetric figure), it can be a square and a rectangle. The most inclusive classification is rectangle, square, quadrilateral, parallelogram, rhombus.

Answer:

Question 1: It is a parallelogram with perpendicular diagonals.
Question 2: Rectangle, square, quadrilateral, parallelogram, rhombus