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Standard VIII

Mathematics

Suppose you a...

Question

Suppose you are asked to construct a square having side length 'a' units. This information is enough to construct a square.

Draw line segment

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Draw arc

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Solution

The correct option is A
Draw line segment

As all the sides are equal and all the angles measure 90 degrees in a square, the given information is enough to construct a square.

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Similar questions

Q. Classroom activity(Constructing the 'square root spiral'): Take a large sheet of paper and construct the 'square root spiral' in the following fashion. Start with a point O and draw a line segment

O P_{1}

of unit length. Draw a line segment

P_{1} P_{2}

perpendicular to

O P_{1}

of unit length. Now draw a line segment

P_{2} P_{3}

perpendicular to

O P_{2}

. Then draw a line segment

P_{3} P_{4}

perpendicular to

O P_{3}

. Continuing in this manner, you can get the line segment

P_{n - 1} P_{n}

by drawing a line segment of unit length perpendicular to

O P_{n - 1}

. In this manner, you will have created the points

P_{2}, P_{3}, . . . . . . ., P_{n}, . . . . .,

and joined them to create a beautiful spiral depicting

\sqrt{2}, \sqrt{3}, \sqrt{4}, . . . . . . .

Suppose you are asked to construct a square having side length 'a' units. This information is enough to construct a square.

Suppose you are asked to construct a square of side 'a' units. This information is enough to construct a square.

Classroom Activity (Constructing the 'square root spiral'): Take a large sheet of paper and construct the 'square root spiral' in the following fashion. Start with a point $O$ and draw a line segment ${OP}_{1}$ of unit length. Draw a line segment $P_{1} P_{2}$ perpendicular to ${OP}_{1}$ of unit length. Now draw a line segment $P_{2} P_{3}$ perpendicular to ${OP}_{2}$ . Then draw a line segment $P_{3} P_{4}$ perpendicular to ${OP}_{3}$ . Continuing in this manner, you can get the line segment $P_{n - 1} P_{n}$ by square root spiral drawing a line segment of unit length perpendicular to ${OP}_{n - 1}$ . In this manner, you will have created the points $P_{2}, P_{3}, . . . . ., P_{n}, . . . . .$ , and joined them to create a beautiful spiral depicting $\sqrt{2}, \sqrt{3}, \sqrt{4}, . . . . .$

Q. Draw an equilateral triangle of sides 5 cm. Construct a square having the same area as that of this triangle.

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Standard VIII Mathematics

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Suppose you are asked to construct a square having side length 'a' units. This information is enough to construct a square.

The correct option is A Draw line segment As all the sides are equal and all the angles measure 90 degrees in a square, the given information is enough to construct a square.

The correct option is A
Draw line segment

As all the sides are equal and all the angles measure 90 degrees in a square, the given information is enough to construct a square.