Question

Given, $AB$ of length $3.9cm$. Construct, $PQ$ such that the length of $PQ$ is twice that of $AB$. Verify by measurement.

Answer 1

Step $1$: Draw a line $AB$ of length $3.9cm$.

Step $2$: Construct a line $PQ$.

Construct a line $l$.and mark a point $P$ on that line at one end.

Now, adjust the compass to the length of $AB$ and draw an arc on the line $l$ from the point $P$ towards another end and mark it as $X$.

Now, draw another arc on the line $l$ from the point $X$ in the opposite direction of $P$ and mark it as $Q$.

Step $3$: Compute the length of the line segment $PQ$.

Length of the line segment $PQ$:

$2\times 3.9=7.8$

Use the ruler to measure the length of $PQ$. which comes out $7.8cm$ that is twice the length of $AB$.

Hence, the length of the line segment $PQ$ is twice the length of $AB$.