Question

the parallelogram ( mnop ) is a dilation of the parallelogram ( mnop ). 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.

Explanation:

Step1: Get coordinates of corresponding points

Take points \(M\) and \(M'\): from the graph, \(M\) is at \((0, 1)\)? No, wait—look at the horizontal segment \(NO\): \(N\) is at \((-2, -2)\), \(O\) is at \((1, -2)\), so length \(NO = |1 - (-2)| = 3\). Corresponding segment \(N'O'\): \(N'\) is at \((-8, -10)\), \(O'\) is at \((4, -10)\), length \(N'O' = |4 - (-8)| = 12\).

Step2: Calculate scale factor

Scale factor = length of image / length of preimage = \(N'O'/NO = 12/3 = 4\).

Answer:

4