For the same data, two different models are graphed. Which model more closely matches the data? Explain your reasoning.
A
A scatterplot labeled A. Horizontal, from 37 point 5 to 112 point 5, by 12 point 5’s. Vertical, from 0 to 200, by 40’s. 19 data points above and below line, trend linearly upward and right, 6 points on line. The line begins at about 50 comma 70 and ends at about 100 comma 150.
B
A scatterplot labeled B. Horizontal, from 37 point 5 to 112 point 5, by 12 point 5’s. Vertical, from 0 to 200, by 40’s. 19 data points above and below line, trend linearly upward and right, 3 points on line. The line begins at about 50 comma 60 and ends at about 100 comma 140.
Show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that takes one figure to the other.
<p>figure ABCD and figure EFGH on a 10 by 10 grid. letting bottom left corner = 0 comma 0, A = 1 comma 9, B = 1 comma 6, C = 3 comma 5, D = 2 comma 6, E = 9 comma 9, F = 9 comma 3, G = 5 comma 1, H = 7 comma 3. </p>