I have to use a # line to find the ratio of the segment lengths.

BD:CF

point B is on the # 2. point D is on the # 9. point C is on the # 6, and point F is on the # 13.

(How did they arrive with a answer of 1\1?)

From B to D is 2 to 9, or 7.

From C to F is 6 to 13, or 7.

The ratio is 7/7, which is equal to 1/1.

Measure and add up the angles of each quadrilateral. We can inductively conclude that: the sum of the angles of a quadrilateral is 360 degrees

To use a number line to find the ratio of segment lengths, you need to determine the lengths of the segments and then compare them. In this case, we are given the positions of points B, D, C, and F on the number line.

Point B is on the number 2, point D is on the number 9, point C is on the number 6, and point F is on the number 13.

To find the length of the segment BD, you subtract the position of point B from the position of point D: 9 - 2 = 7.
Similarly, to find the length of the segment CF, you subtract the position of point C from the position of point F: 13 - 6 = 7.

The ratio of the segment lengths BD:CF is then 7:7. Notice that the lengths of both segments are the same, which means that the ratio is 1:1.

This can be written as 7/7, which simplifies to 1/1. In other words, the segment lengths are equal, so the ratio is 1:1.