Question

a four - sided figure is resized to create a sc ed copy. the lengths of its four sides change as in the table below. find the constant of proportionality from the original figure to the scaled copy. express your answer as a fraction in reduced terms. answer

Explanation:

Step1: Recall the formula for constant of proportionality

The constant of proportionality \( k \) from the original figure (\( x \)) to the scaled copy (\( y \)) is given by \( k=\frac{y}{x} \).

Step2: Calculate using the first pair of values

Using \( x = 6 \) (original) and \( y = 24 \) (scaled copy), \( k=\frac{24}{6}=4 \).

Step3: Verify with the second pair of values

Using \( x = 11 \) and \( y = 44 \), \( k=\frac{44}{11}=4 \).

Step4: Verify with the third pair of values

Using \( x = 13 \) and \( y = 52 \), \( k=\frac{52}{13}=4 \).

Answer:

\( 4 \)