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Geometry
Name: _________________________________
Worksheet 3 – 1
Date: __________________ Period:__________
Ratios
For problems 1-3, write each ratio three ways, and reduce each to simplest form.
1. A running back scored 4 touchdowns in 12 games.
2. A recipe requires 6 cups of flour for every 4 batches of cookies.
3. Bob can run 6 laps on a track every 54 minutes.
4. A string that is 75 inches long will be cut into two pieces in the ration of 4:11. Find the lengths
of the two pieces of string.
5. The ratio of two supplementary angles is 4:1. Find the measures of the two angles.
6. The ratio of the measures of the angles in a triangle is 3:5:7. Find the measure of each angle.
7. The ratio of the measure of the sides of a triangle is 5:7:8 and its perimeter is 40 inches. Find
the measure of each side.
Proportions
Solve each proportion.
8.
3 x

4 8
9.
a
3

45 9
10.
y 7

9 15
11.
3 x2

4
6
12.
w2 7

10
5
13.
r  7 r  12

4
5
14.
5  y 14

y  3 10
15.
m  9 m  12

5
11
16.
x 9

4 x
17.
x 12

4
x
19.
x 5

9 x
20.
x 7

5 x
18
3 x

x 7