Constructing a parallelogram with two adjacent sides and one angle — lesson. Mathematics State Board, Class 8.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Working rule to construct a parallelogram:

Let us discuss the working rule to construct a parallelogram when the measure of two adjacent sides and an angle of a parallelogram are given.

Example:

Construct a parallelogram

$ABCD$ with

$AB$

$=$

$6$

$cm$ ,

$BC$

$=$

$5.5$

$cm$ and

$\angle ABC$

$=$

$75^{\circ}$ .

Construction:

Step 1: Draw a line segment

$AB$

$=$

$6$

$cm$ .

Step 2: With

$B$ as centre, mark an angle

$75^{\circ}$ using the protractor and mark it as

$X$ . Join

$BX$ .

Step 3: With

$B$ as centre, draw an arc of radius

$5.5$

$cm$ intersecting

$BX$ at

$C$ .

Step 4: With

$C$ and

$A$ as centres, draw two arcs of radii

$6$

$cm$ and

$5.5$

$cm$ respectively such that they intersect each other at

$D$ .

Step 5: Join

$CD$ and

$AD$ .

Step 6:

$ABCD$ is the required parallelogram. The measure of

$CE$ gives the height of the parallelogram

$ABCD$ .

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10. Constructing a parallelogram with two adjacent sides and one angle

Theory: