Honors Geometry Companion Book, Volume 2

7.1.1 Ratio and Proportion - Worksheet

Example 1: Write a ratio expressing the slope of each line. 1. l 2. m

y

4

n

3. n

2

l

x

–4

–2

2

4

–2

m

–4

Example 2: 4. The ratio of the side lengths of a quadrilateral is 2:4:5:7, and its perimeter is 36 m. What is the length of the shortest side?

5. The ratio of the angle measures in a triangle is 5:12:19. What is the measure of the largest angle?

Example 3: Solve each proportion. 6. = x 2 40 16

= 6 58 29 t

= y 7 21 27

8.

7.

= x x 18 6 2

y 3

x

27

16

1

9.

10.

11.

=

=

y

x

1

4

Example 4: 12.  Given that 2 a = 8 b , find the ratio of a to b in simplest form.

13. Given that 6 x = 27 y , find the ratio y : x in simplest form.

12

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