Draw a line segment AB of length 7 cm and mark a point P on it such that AP = 3 cm. What is the length of PB? If Q is the midpoint of AB, find the length PQ.
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Step-by-Step Solution
Step 1: Find the length of PB
We are given that the total length of the line segment AB is 7 cm and point P is on AB such that AP is 3 cm. Since P lies between A and B, the sum of the lengths of AP and PB must be equal to the length of AB.
Step 2: Calculate PB
By subtracting the length of AP from the total length of AB, we can find the length of PB.
Step 3: Find the length of AQ (midpoint of AB)
We are told that Q is the midpoint of AB. A midpoint divides a line segment into two equal halves. Therefore, the length of AQ is half the length of AB.
Step 4: Find the length of PQ
To find the length of PQ, we can subtract the length of AP from the length of AQ. This is because P lies between A and Q.