Measuring Line Segments

Measuring line segments is an important skill in geometry. It involves using a ruler or a measuring tape to determine the length of a line segment. In order to verify a given case, it is necessary to measure the length of each line segment involved.

Case (a)

The given case is PQ QR = PR. In order to verify this case, we need to measure the length of each line segment and then calculate the product of PQ and QR. If the result is equal to the length of PR, then the case is true.

Measurement Process

To measure the length of a line segment, we need to follow these steps:

1. Place the ruler or measuring tape along the line segment.
2. Make sure that the starting point of the ruler or measuring tape is aligned with one end of the line segment.
3. Read the measurement on the ruler or measuring tape at the other end of the line segment.

Verification of Case (a)

To verify case (a), we need to measure the length of each line segment and then calculate the product of PQ and QR.

1. Measure the length of PQ using a ruler or measuring tape.
2. Measure the length of QR using a ruler or measuring tape.
3. Multiply the length of PQ by the length of QR.
4. Compare the result with the length of PR, which should also be measured using a ruler or measuring tape.

If the result of step 3 is equal to the length of PR, then the case is true. If not, the case is false.

Conclusion

Measuring line segments is an essential skill in geometry, and it is necessary to verify cases by measuring the length of each line segment involved. In the case of PQ QR = PR, we need to measure the length of PQ, QR, and PR and then calculate the product of PQ and QR. If the result is equal to the length of PR, then the case is true.

PQ = 15cm
QR = 3cm
Pr = 12 cm

Answer...(<-p--------------12cm-------------------r,15cm------------------3cm-->Q

RQ=RQ
=12Cm