Question

Calculate the ratio of the lengths of the two-line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?

a) PM=2.2
b) ML=2.2
c) ON=2
d) NK=2

Answer 1

Using the segment lengths given, the ratio of the lengths for each transversal are both 1:1, indicating that the corresponding segments on each transversal are equal in length.

Step-by-step explanation:

To calculate the ratio of the lengths of the two-line segments formed on each transversal, we can use the data given for PM, ML, ON, and NK as follows.

For the first transversal, we have PM = 2.2 and ML = 2.2, giving us a ratio of PM:ML, which simplifies to 2.2:2.2. When simplified, this ratio equates to 1:1.

For the second transversal, ON = 2 and NK = 2. Thus, similarly, the ratio ON:NK simplifies to 2:2 which also equates to 1:1.

The ratios of the lengths for each transversal are identical, as both are in the simplest form 1:1. This finding suggests that the segments on each transversal are of equal lengths when comparing the corresponding segments.