Final answer:
The question asks to determine relationships between quadrilaterals based on their properties on a coordinate grid. Without visual or numerical information, it's not possible to ascertain the true statement among the options provided.
Step-by-step explanation:
The question references several statements about the properties and relationships between quadrilaterals X, Y, and Z located on a coordinate grid. To determine if the quadrilaterals are similar, congruent, or neither, we need to analyze the shapes based on their sides and angles. Similar quadrilaterals have the same shape with proportional side lengths but may differ in size. Congruent quadrilaterals are identical in both shape and size, meaning they have all corresponding sides and angles equal.
Without a visual representation of the quadrilaterals on the coordinate grid, determining which of the statements a), b), c), or d) is true is not possible. We would usually look at the side lengths and angles, and check for parallel sides, equal angles, or calculated proportions to make an informed comparison of the shapes. As this information is not provided, we cannot confirm which, if any, of the quadrilaterals share properties of similarity or congruence.