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If point P corresponds to A, Q to B, R to C, and Quadrilateral PQRS is a scaled copy of Quadrilateral B, and the distance from P to R is 3 units, what is the distance from Q to S?

a. 1.5 units
b. 3 units
c. 4.5 units
d. 6 units

1 Answer

4 votes

Final answer:

Since Quadrilateral PQRS is a scaled copy of Quadrilateral B and point P corresponds to A, with the distance from P to R being 3 units, the distance from Q to S is also 3 units.

Step-by-step explanation:

The question asks us to determine the corresponding distance between points Q and S if we know that Quadrilateral PQRS is a scaled copy of Quadrilateral B, Point P corresponds to A, Q to B, R to C, and the distance from P to R is 3 units. Considering that quadrilaterals are geometric shapes that maintain proportional distances when scaled, and given that P to R corresponds to A to C in the original quadrilateral, we can infer that the distance between Q and S would be the same as the distance from P to R if the scaling factor is 1. Therefore, the distance from Q to S is also 3 units, which corresponds to option (b).

User DaveM
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