IM 8.3.2 Practice: Graphs of Proportional Relationships

The tortoise and the hare are having a race. After the hare runs 16 miles the tortoise has only run 4 miles.
The relationship between the distance [math]x[/math] the tortoise “runs” in miles for every [math]y[/math] miles the hare runs is [math]y=4x[/math]. Graph this relationship.
The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched. Complete the table.
Describe the scales you could use on the [math]x[/math] and [math]y[/math] axes of a coordinate grid that would show all the distances and weights in the table.
Find a sequence of rotations, reflections, translations, and dilations showing that one figure is similar to the other.
Be specific: give the amount and direction of a translation, a line of reflection, the center and angle of a rotation, and the center and scale factor of a dilation.
Andre said, “I found two figures that are congruent, so they can’t be similar.” Diego said, “No, they are similar! The scale factor is 1.”
[size=100]Do you agree with either of them? Use the definition of similarity to explain your answer.[/size]
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– GeoGebra Classroom Activities, IM 6 – 8 Math

Information: IM 8.3.2 Practice: Graphs of Proportional Relationships