standard_description: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
problem_activity: Problem 1
Mark and label a point for each fraction below on the number line to its right.
a.
| $$\frac{1}{3}$$ | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l10_tt1.png |
|-----------------|------------------------------------------------------------------------------------------|
b.
| $$\frac{5}{6}$$ | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l10_tt1.png |
|-----------------|------------------------------------------------------------------------------------------|
c.
| $$\frac{3}{8}$$ | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l11_at1b.png |
|-----------------|-------------------------------------------------------------------------------------------|
Problem 2
Determine the location of each of the following points.
a.
[IMG]
b.
[IMG]
Problem 3
Erin walked 1 mile from her house to the library. Along the way, she passed several places shown on the number line below.
[IMG]
a.   Which place is
$$\frac{4}{8} $$
mile from Erin’s house?
b.   Erin also passed the fire station, which is
$$\frac{1}{8} $$
mile from Erin’s house. Plot the location of the fire station on the number line above.
c.   What is the distance, in miles, between the park and the market?


aligns: no