points that lie o the same line are called collinear points. The points H,S,D,K,L, and D are collinear. use the following information to locate them on the line and label the points accordingly.
KS + SB =KB
DH + HS =DS
DH + Hk =DK
points L and B are not between any other labeled points on the line.
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in 6th
To locate and label the collinear points, we need to use the given information. Let's go step by step:
1. Start by labeling the points H, S, D, K, L, and B on the line.
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H S D K L B
2. We are told that KS + SB = KB. This means that the distance from K to S plus the distance from S to B is equal to the distance from K to B. Since we know the distance from K to S, we can use it to find the position of point S.
- Let's say KS = x. Then SB = KB - x.
- Since H and S are collinear, the distance from H to S should be x as well. Therefore, we can label point S accordingly.
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H S D K L B
3. Now, let's use the second equation: DH + HS = DS. This means that the distance from D to H plus the distance from H to S is equal to the distance from D to S. Since we know the distance from H to S, we can use it to find the position of point D.
- Let's say DH = y. Then HS = DS - y.
- Since D and H are collinear, the distance from D to H should be y as well. Therefore, we can label point D accordingly.
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H S D K L B
4. Finally, let's use the third equation: DH + HK = DK. This means that the distance from D to H plus the distance from H to K is equal to the distance from D to K. Since we know the distances from D to H and from H to K, we can use them to find the positions of points D, H, and K precisely.
- Let's say DH = y and HK = z. Then DK = DH + HK = y + z.
- L and B are not between any other labeled points, so we can place them at any position as long as they are not between any other labeled points.
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L ____ D H K B
Now, all the collinear points H, S, D, K, L, and B are labeled correctly on the line. The exact positions of points H, S, D, and K can depend on the values of x, y, and z.