Question

Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ= RS. If PS = 24 and PR = 19, what is the value of QR?

Answer 1

14

Given :

• Point P,Q,R & S are collinear
• PQ = RS
• PR = 19
• PS = 24

To find :

• QR

Solution:

In segment PS,

• RS = PS - PR
• RS = 24 -19
• RS = 5

In segment PR,

• PQ + QR = PR
• RS +QR = 19 .......( PQ = RS)
• 5 + QR = 19
• QR = 19-5
• QR = 14

Therefore,the measure of QR would be equal to 14 .