Question

draw the picture of the segment described, then write the segment addition postulate for the points described..

1. s is between d and p

*answer: ds + sp = dp

1. j is between s and h sj + jh = sh
2. c is between q and r
3. t is between m and n

Explanation:

Problem 3: C is between Q and R

Step 1: Draw the segment

We have three points Q, C, R with C between Q and R. So we draw a straight line segment with Q on the left, C in the middle, and R on the right. Visually:

Q ---- C ---- R

Step 2: Apply the Segment Addition Postulate

The Segment Addition Postulate states that if a point \( C \) is between two points \( Q \) and \( R \) on a line segment, then the sum of the lengths of the two smaller segments (\( QC \) and \( CR \)) is equal to the length of the entire segment (\( QR \)). So mathematically, this is \( QC + CR = QR \).

Step 1: Draw the segment

We have three points M, T, N with T between M and N. So we draw a straight line segment with M on the left, T in the middle, and N on the right. Visually:

M ---- T ---- N

Step 2: Apply the Segment Addition Postulate

The Segment Addition Postulate states that if a point \( T \) is between two points \( M \) and \( N \) on a line segment, then the sum of the lengths of the two smaller segments (\( MT \) and \( TN \)) is equal to the length of the entire segment (\( MN \)). So mathematically, this is \( MT + TN = MN \).

Answer:

The diagram is a line segment with points Q, C, R in order (Q---C---R). The Segment Addition Postulate is \( QC + CR = QR \).

Problem 4: T is between M and N