5.08 Similar Triangles and Slope Practice
1. Determine if these triangles are similar. If so,
state the ratio of the corresponding sides.
3. Graph each pair of similar triangles. Write a
proportion comparing the 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 (rise) to
the 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 ( run). Are the values the same?
∆EFG with vertices E(1,9), F(1,5), and G(2,5);
∆GHI with vertices G(2,5), H(2,1), and I(3,1)
5. The graph shows the plans for a bean bag
tossing game. Use two points to find the slope of
the game. Then verify that the slope is the same
at a different location by choosing a different set
of points.
Name:
2. Determine if these triangles are similar. If so,
state the ratio of the corresponding sides.
4. Graph each pair of similar triangles. Write a
proportion comparing 𝑐ℎ𝑎𝑛𝑔 𝑖𝑛 𝑦 (rise) to the
𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 (run). Are the values the same?
∆RST with vertices R(1,6), S(1,–6), and T(–3,–6);
∆UVW with vertices U(–1,0), V(–1,–3), and
W(–2,–3)
6. The slope of a roof line is also called the pitch.
Find the pitch of the roof shown.
7. A carpenter is building a set of 8. Use slope triangles to find the height of the tree if the man is 6
steps for a bunk bed. The plan for feet tall. Remember, the slope of the line is the same between
the steps is shown below. Using
any set of points.
points A and B, find the slope of
the line up the steps. Then verify
that the slope is the same at a
different location by choosing a
different set of points.
Challenge:
9. A ramp slopes upward from the sidewalk to
the entrance of a building at a constant incline.
If the ramp is 2 feet high when it is 5 feet from
the sidewalk, how high is the ramp when it is 7
feet from the sidewalk?
10. Triangle LMN and triangle OPN are similar
triangles.
1. Use the notation to mark the corresponding
angles.
2. Find the measure of angles x, y and z.
Review:
11. Find the slope of the line through the points below.
(4,-7) and (-6,-2)
(-6, 0) and (6, 8)
12. Write the equation for the line that passes through the point (8, 4) and (6, -5)