Question

Find the lengths of the line segments whose end points are given below. Explain how you determined that the line segments are horizontal or vertical.

a. (−3, 4) and (−3, 9)
b. (2, −2) and (−8, −2)
c. (−6, −6) and (−6, 1)
d. (−9, 4) and (−4, 4)
e. (0, −11) and (0, 8)

Answer 1

A. The segment has a 5 units lenght

B. The segment has a 10 units lenght.

C. The segment has a 7 units lenght.

D. The segment has a 5 units lenght.

E. The segment has a 19 units lenght.

Explanation:

A. The given end points are (-3,4) and (-3,9). If we represent these two points in a cordinate axis we can see that those points are in the same vertical line according to the y axis, because the number in the x axis is -3 in each point so we can say that they are in the same vertical line. Now the segment line to match these two point has a 5 units lenght.

B. We can see that the given end points has equal number in the y axis. So we can say that those end points are in the same horizontal line, and the segment has a 10 units lenght.

C. In subsection c the pairs of points has a an equal number in the x axis. So those points are in the same vertical line. And the lenght of the segment is 7 units.

D. In subesection d the two points has an equal numever in the y axis, so these two points are in the same horizontal line according to the coordinate axis. And the segment that mathc these two points has a 5 units lenght.

E. The given points are ( 0,-11) and (0,8) we can see that the two points has the same x axis number, so they are in the same vertical line according to the y axis. And the segment has a 19 units lenght.