Open Up - Grade 8 - Mathematics - Unit 3 - Lesson 2

By Formative Library
Last updated about 3 years ago
4 Questions

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 x the tortoise “runs” in miles for every y miles the hare runs is y = 4x. 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.(Show your work)
Describe the scales you could use on the x and y axes of a coordinate grid that would show all the distances and weights in the table.(Short answer)

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.

Consider the following dialogue:

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.”

Who is correct?

"Source: Open Up Resouces (Download for free at openupresources.org.)"