(1)Is a trapezoid a square? false (2) if all sides of a quadilateralare congruent,the quadilateral is a rhombis? true or false

1. A trapezoid is not a square.

2. False.

(1) To determine if a trapezoid is a square or not, we need to understand the properties of both shapes.

A trapezoid is a quadrilateral that has only one pair of parallel sides. It does not have congruent sides or right angles.

On the other hand, a square is a quadrilateral with all sides congruent and all angles equal to 90 degrees. In other words, all four sides of a square have the same length, and each angle is a right angle.

Based on these definitions, we can conclude that a trapezoid is not a square. Therefore, the statement "Is a trapezoid a square?" is false.

(2) If all the sides of a quadrilateral are congruent, we need to determine if the quadrilateral is a rhombus or not.

A rhombus is a quadrilateral with all sides congruent, but it does not necessarily have right angles. In other words, all four sides of a rhombus have the same length, but the angles can be acute or obtuse.

So, if a quadrilateral has congruent sides, it may be a rhombus, but it is not necessarily a rhombus. Therefore, the statement "If all sides of a quadrilateral are congruent, the quadrilateral is a rhombus" is false.