Question

quadrilateral a has side lengths 2, 3, 5, and 6. quadrilateral b has side lengths 4, 5, 7, and 8. quadrilateral c has side lengths 4, 6, 10, and 12. which quadrilateral is a scaled copy of quadrilateral a? press the hotspot that represents the correct answer and press the answer box to save your selection. quadrilateral b quadrilateral c

Explanation:

Step1: Find the ratio of side - lengths

For two quadrilaterals to be scaled copies, the ratios of their corresponding side - lengths should be equal. Let's find the ratios of the side - lengths of Quadrilateral A (sides \(a_1 = 2,a_2 = 3,a_3 = 5,a_4 = 6\)) and Quadrilateral C (sides \(c_1 = 4,c_2 = 6,c_3 = 10,c_4 = 12\)).
\(\frac{c_1}{a_1}=\frac{4}{2}=2\), \(\frac{c_2}{a_2}=\frac{6}{3}=2\), \(\frac{c_3}{a_3}=\frac{10}{5}=2\), \(\frac{c_4}{a_4}=\frac{12}{6}=2\).
For Quadrilateral A and Quadrilateral B (sides \(b_1 = 4,b_2 = 5,b_3 = 7,b_4 = 8\)), \(\frac{b_1}{a_1}=\frac{4}{2}=2\), \(\frac{b_2}{a_2}=\frac{5}{3}
eq2\), so Quadrilateral B is not a scaled copy of Quadrilateral A.

Step2: Confirm the scaled - copy

Since the ratios of the corresponding side - lengths of Quadrilateral A and Quadrilateral C are all equal to 2, Quadrilateral C is a scaled copy of Quadrilateral A.

Answer:

Quadrilateral C