The rectangle IY' K′L′ ' is a dilation of the rectangle DKL. What is the scale factor of the dilation?Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.
Q. The rectangle IY' K′L′ ' is a dilation of the rectangle DKL. What is the scale factor of the dilation?Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.
Identify sides: Identify the corresponding sides of the rectangles DKL and IY′K′L′ to determine the scale factor. Assume the lengths of sides for DKL are known, and the lengths of sides for IY′K′L′ are given or can be measured.
Calculate ratio: Calculate the ratio of the lengths of corresponding sides. If side DK measures 2 units and side IY' measures 6 units, the scale factor k is calculated as k=length of DKlength of IY’=26.
Simplify ratio: Simplify the ratio to find the scale factor. 6/2 simplifies to 3.