a four - sided figure is resized to create a scaled copy. the lengths of its four sides change as in the…

a four - sided figure is resized to create a scaled 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.

a four - sided figure is resized to create a scaled 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: Understand the concept of constant of proportionality

The constant of proportionality ( k ) from the original figure to the scaled copy is given by the formula ( k=\frac{\text{Scaled Copy}}{\text{Original Figure}} ).

Step2: Calculate the ratio for each pair

For the first pair: ( k_1=\frac{64}{8} = 8 ). For the second pair: ( k_2=\frac{88}{11}=8 ). For the third pair: ( k_3=\frac{104}{13}=8 ).

Answer:

( 8 )