The tortoise and the hare are having a race. After the hare runs 16 miles the tortoise has only run 4 miles.

This relationship can be described by the equation \(y=4x\), where \(x\) is the distance tortoise “runs” in miles, and \(y\) is the distance the hare runs in miles. Create a graph of this relationship.

The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.

Describe a sequence of rotations, reflections, translations, and dilations that show one figure is similar to the other. Be sure to include the distance 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.

polar coordinate plane with center at A. quadrilateral BCDE and QRST graphed. B at 9 comma pi over 12. C at 6 comma pi over 4. D at 3 comma 5 pi over 12, E at 6 comma 11 pi over 6. Q at 3 comma 5 pi over 3. R at 2 comma 11 pi over 6. S at 1 comma 0 pi. T at 2 comma 17 pi over 12.

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.”

Do you agree with either of them? Use the definition of similarity to explain your answer.