Question

2. Draw two line segments AB and CD of lengths 2.5 cm and 6.3 cm respectively. Construct the line segment
of the following lengths.
(1) CD + AB​

Answer 1

Step-by-step explanation:

step 1: draw a line segment AB =6.5cm using ruler

step 2: draw a line segment CD = 7.7cm using ruler

step 3: extend line AB

step 4: using compass take width= CD from point B draw an arc intersecting extend AB at P

AP=AB+CD

CD+AB

Step 3:Extend line CD

Step 4:using compass take width= AB from point D draw an arc intersecting extend CD at Q

CQ = CD + AB

Answer 2

Step-by-step explanation:

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Construct two segments of lengths 4.3 cm and 3.2 cm. Construct a segment whose length is equal to the sum of the lengths of these segments.

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Solution

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Using compass and ruler, we construct two segments AB and CD of lengths 4.3 cm and 3.2 cm, respectively.

Draw a line l and mark a point P on it.

Take a compass and place its metal point at A and adjust it, such that the pencil point reaches point B.

Take the compass to line l, such that its metal point is on P.

Mark a small mark at Q on the line l corresponding to the pencil point of the compass.

Now, reset the compass, such that its metal and pencil points are on C and D, respectively.

Take the compass again to line l, such that its metal point is on Q and the pencil point makes a small mark at point R, which opposite to point P on line l.

PR is the required segment, whose length is equal to the sum of the lengths of these segments.

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