Question

quadrilateral a has side lengths 2, 3, 5, and 6. quadrilateral b has side lengths 4, 5, 8, and 10. complete the statement to determine whether one of the quadrilaterals could be a scaled copy of the other. select choice because there select choice a scale factor between the two quadrilaterals.

Explanation:

Step1: Order the side lengths

First, we order the side lengths of both quadrilaterals. For Quadrilateral A: \(2, 3, 5, 6\) (already in order). For Quadrilateral B: \(4, 5, 8, 10\) (already in order).

Step2: Check the ratios

Now we check the ratios of corresponding sides (assuming they are in order).

• Ratio of first sides: \(\frac{4}{2} = 2\)
• Ratio of second sides: \(\frac{5}{3} \approx 1.666...\)
• Ratio of third sides: \(\frac{8}{5} = 1.6\)
• Ratio of fourth sides: \(\frac{10}{6} \approx 1.666...\)

Since the ratios of the corresponding sides are not equal (a scaled copy requires all corresponding sides to have the same scale factor), there is no consistent scale factor.

Answer:

The first "Select Choice" should be "No" and the second "Select Choice" should be "is not" (because for a scaled copy, all side ratios must be equal, and here they aren't, so there is no scale factor). So the completed statement is: "No because there is not a scale factor between the two quadrilaterals."