Question

drawing quadrilaterals determine whether a quadrilateral is possible from the given measurements. if so, determine whether the quadrilateral is unique. explain. use a drawing to support your reasoning. 1. a quadrilateral with side lengths each measuring 6 cm

Explanation:

Step1: Recall quadrilateral construction rules

A quadrilateral can be constructed with four side - lengths. Here, the side - lengths are all 6 cm.

Step2: Analyze uniqueness

A quadrilateral with all side - lengths equal is not unique. A rhombus has all sides equal, and by changing the angles between the sides, different rhombuses can be formed. For example, a square is a special case of a rhombus with right - angles, but we can have non - square rhombuses with the same side - lengths.

Answer:

A quadrilateral is possible. It is not unique because a quadrilateral with all side - lengths equal to 6 cm can be different rhombuses depending on the angles between the sides.