Question

three points, p, q, and r, lie on the same line such that q lies between p and r. find pr if pq = 11 and qr = 13.
a) 2
b) 11
c) 13
d) 24

Explanation:

Step1: Understand the segment addition postulate

If three points \( P \), \( Q \), and \( R \) are collinear with \( Q \) between \( P \) and \( R \), then \( PR = PQ + QR \).

Step2: Substitute the given values

We know that \( PQ = 11 \) and \( QR = 13 \). Substituting these values into the formula from Step 1, we get \( PR = 11 + 13 \).

Step3: Calculate the sum

\( 11 + 13 = 24 \).

Answer:

D) 24