On a number line, the coordinates of A, B, C, and D are -5, -2, 0, and 3 respectively. How do I find the length of each segment? Are they congruent?
Can't you just "count" the units between points?
This looks like a trivial question.
hello!!!!
practice:
1. point c
2. (-1.5,2)
3. the point will in IV
4. (-4, 2.5)
WHATS THE ANSWER?????
To find the length of each segment, you can simply subtract the coordinates of the endpoints. The length of a segment is the absolute value of the difference between its endpoints.
The length of segment AB is |-2 - (-5)| = |3| = 3 units.
The length of segment BC is |0 - (-2)| = |2| = 2 units.
The length of segment CD is |3 - 0| = |3| = 3 units.
To determine if the segments are congruent, we compare their lengths. In this case, segment AB and segment CD have the same length of 3 units, so they are congruent. Segment BC has a length of 2 units, which is different from the length of segments AB and CD, so it is not congruent to them.
Counting the units between points is indeed one way to find the length, and in this case, it confirms the lengths found using the subtraction method. However, the subtraction method allows for finding the length of segments more efficiently and accurately, especially when dealing with larger numbers or decimal coordinates.
To find the length of each segment on a number line, you need to calculate the difference between the coordinates of the endpoints of each segment. In this case, the segments are AB, BC, and CD.
To find the length of segment AB, you subtract the coordinate of point A from the coordinate of point B. In this case, -2 - (-5) = 3. So, the length of segment AB is 3 units.
Similarly, to find the length of segment BC, you subtract the coordinate of point B from the coordinate of point C. In this case, 0 - (-2) = 2. So, the length of segment BC is 2 units.
Finally, to find the length of segment CD, you subtract the coordinate of point C from the coordinate of point D. In this case, 3 - 0 = 3. So, the length of segment CD is 3 units.
Now, to determine if the segments are congruent, you compare their lengths. From our calculations, we can see that the lengths of segments AB and CD are both 3 units, while the length of segment BC is 2 units. Therefore, segments AB and CD are congruent, but segment BC is not congruent to them.