Lesson 10: Practice Problems
Problem 1
Of the three lines in the graph, one has slope 1, one has slope 2, and one has slope
![A grid with a black, yellow and blue line. The yellow line crosses both the black and blue lines.](../../../../../../embeds/5c9bf4f0--8.2.C.PP.Image.02.png)
Problem 2
Draw three lines with slope 2, and three lines with slope
![a blank grid](../../../../../../embeds/930ff741--8.2.10.Image.Revision.109.png)
Problem 3
The figure shows two right triangles, each with its longest side on the same line.
![Triangle RST with side lengths: RS=4, ST=2. Triangle XYZ with side length YZ=3](../../../../../../embeds/7640f73b--8.2.C10.newPP.Image.01.png)
Explain how you know the two triangles are similar.
How long is
? For each triangle, calculate (vertical side)
(horizontal side). What is the slope of the line? Explain how you know.
Problem 4 From Unit 2 Lesson 9
Triangle
Explain how you know that Triangle
is not similar to Triangle . Give possible side lengths for Triangle
so that it is similar to Triangle .