On a number line, the coordinates of X, Y, Z, and W are - 6, -2, 4, and 8, respectively. Find the lengths of the two segments be
1 answer:
If the coordinates of X, Y, Z, and W on a number line are - 6, -2, 4, and 8, respectively, then the lengths of the segment XY is 4 and that of the segment ZW is also 4, and hence, these two segments (XY and YZ) are indeed Congruent in nature.
To increase the understandability of this question, we will go ahead a visual representation of the number line based on the condition mentioned in the question statement, attached hereby as "Number Line (-10 to 10)".
As per the figure, we can clearly see that the line segment XY begins at (-6) on the number line and ends at (-2), i.e., Length of XY is:
[(-2) - (-6)] = 4.
Similarly, we can also see that the line segment ZW begins at (4) on the number line and ends at (8), i.e., Length of ZW is:
(8 - 4) = 4.
Also, since the lengths of both XY and ZW are same, i.e., 4 Units, they are congruent in nature.
- Number Line: In elementary mathematics, a number line is a picture of a graduated straight line, with real numbers, (generally integers, both positive and negative) at equal intervals on it.
- Congruent Lines: Two line segments of equal lengths are known to be congruent.
To learn more about number line, click on the link below.
#SPJ9
You might be interested in