2.1.2 Proportional Reasoning − Worksheet
Example 1: Solve each proportion. 1. x 6.4 2 3 =
1 3 3
= 2 13 52 n
6
4 14
24
2.
3.
4.
=
=
t
x
= 4 9 45 x
x 15
63 45
= x 8 5 12
2
18
5.
6.
7.
8.
−
=
=
x
5
−
Example 2: 9. A college brochure claims that 24% of the students attending the college are majoring in business. If there are 420 students at the college who are majoring in business, how many students are attending the college?
Example 3: 10. △ ABC has vertices A (0, 0), B (0, 8), and C ( − 6, 8). △ ADE is similar to △ ABC with a vertex at D (0, 4). Graph △ ABC and △ ADE on the same grid.
Example 4: 11. A surveyor uses similar triangles to measure the distance across a canyon. What is the distance across the canyon, according to the diagram?
? ft
22 ft
77 ft
15 ft
83
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