Question

sketch the three collinear points. then write the segment addition postulate for the points.

1. j is between l and m.
2. y is between w and x.

use the diagram at the right to complete the statement.

1. the point between c and f is?
2. the point between? and g is d.
3. the point between b and? is h.
4. the point between b and a is?
5. the point between? and d is g.
6. the point between a and? is d.

Explanation:

Step1: Analyze collinear - point relationships

For 3. If \(J\) is between \(L\) and \(M\), by the Segment - Addition Postulate, \(LJ+JM = LM\). Sketch: Draw a straight line and mark points \(L\), \(J\), \(M\) in order on the line.
For 4. If \(Y\) is between \(W\) and \(X\), by the Segment - Addition Postulate, \(WY + YX=WX\). Sketch: Draw a straight line and mark points \(W\), \(Y\), \(X\) in order on the line.

Step2: Identify mid - points from the given diagram

For 5. Looking at the diagram, the point between \(C\) and \(F\) is \(B\).
For 6. The point between \(E\) and \(G\) is \(D\).
For 7. The point between \(B\) and \(J\) is \(H\).
For 8. The point between \(B\) and \(A\) is \(C\).
For 9. The point between \(E\) and \(D\) is \(G\).
For 10. The point between \(A\) and \(E\) is \(D\).

Answer:

1. Sketch: A straight - line with points \(L\), \(J\), \(M\) in order; Segment Addition Postulate: \(LJ + JM=LM\)
2. Sketch: A straight - line with points \(W\), \(Y\), \(X\) in order; Segment Addition Postulate: \(WY + YX = WX\)
3. \(B\)
4. \(E\)
5. \(J\)
6. \(C\)
7. \(E\)
8. \(E\)