The instrument in the geometry box having the shape of a triangle is called a

The instrument to measure an angle is a

The instrument to draw a circle is

Two lines are perpendicular, if they intersect each other at

Perpendicular bisector of a line segment

Which of the following angles can be drawn with the help of a compass?

In the given figure, point B lies

Draw any line segment \(\bar{PQ}\). Take any point R not on it. Through R, draw a perpendicular to \(\bar{PQ}\). Which of the following figure satisfy the above condition?

If the diameter of a circle is 16 cm, then what will be its radius?

Draw any line segment AB. Take any point C on it. Through C, draw a perpendicular to AB, which of the following figure satisfies the above condition?

It is possible to draw two bisectors of a given angles.

Infinitely many perpendiculars can be drawn to a given ray.

With ruler and compasses, we can bisect any given line segment.

Only one perpendicular bisector can be drawn to a given line segment.

Two perpendiculars can be drawn to a given line from a point not lying on it.

With a given centre and a given radius, only one circle can be drawn.

Using only the two set-squares of the geometry box, an angle of 40° can be drawn.

Using only the two set-squares of the geometry box, an angle of 15° can be drawn.

In the given figure, point A lies interior of the circle.

In the given figure, the diameter of the circle is GF.

Mark three collinear points A, Band C such that distance between A and B is half the distance between A and C. Now, with B as centre and radius equal to BA, draw a circle and find, where point C lies?

Mark three collinear points P, Q and R such that the distance between P and Q is equal to the distance between Q and R. If the line segment \(\bar{PR}\) = 4. 2 cm, then measure the line segment PQ.

Draw a line segment \(\bar{XY}\) of length 8 cm. From this cut-off a line segment \(\bar{XZ}\) of length 4.2 cm. Measure \(\bar{ZY}\).

Mention the different ways to draw a line perpendicular to a line through a point.

Draw a line segment \(\bar{AB}\) of length 8 cm. Draw its perpendicular bisector. Is it a line of symmetry.

Draw a square ABCD of side 6 cm. Construct a perpendicular bisector of side AB, which meets the side CD at F Measure FD.

Draw a circle of diameter 12 cm. Construct the perpendicular bisectors of it. Join the points of it and determine the shape formed.

Draw a circle of radius 4.5 cm. Draw a line passing through the centre and meeting the circumference at two different points. Name the line, so formed.

Name the tool used to compare the lengths of line segment without measuring them.

What will be the next number in the sequence?
1, 5, 9, 13, 17, 21, .......

Draw a circle with any two its diameters. If you join the ends of these diameters, what is the figure obtained, if the diameters are perpendicular to each other? How do you check your answer?

Let A and B be the centres of two circles of equal radii, draw them so that each one of them passes through the centre of the other. Let them intersect at C and D.
Examine whether AB and CD are at right angles.

Draw a circle of radius 3 cm. Divide the circle into the equal parts by drawing a line AB passing through centre. Now, take a point P on the circumference of circle. Join PA and PB. Measure the angle \(\angle \)APB.

Draw two circles of radius 4 cm and 5 cm intersecting each other at point C and O. Join the centres A and B of the circles and points C and D. What is the relation between \(\overline { CD } \) and \(\overline { AB } \)?

Construct a circle with radius 4 cm. Construct a rectangle inscribed in the circle. What are the diagonals of rectangle, so formed equal to?

Refer to the figure given below and answer the following:
                     
(a) Name any diameter of the circle.
(b) Name any radius of the circle.
(c) Name the chord of the circle.
(d) What is the centre of the given circle?

There were five pieces of cloth of lengths 15 m, 21 m, 36 m, 42 m, 48 m. But all of them could be measured in whole units of a measuring rod. What could be the largest length of the rod?

There are three cans. One of them holds exactly 10 litres of milk and is full. The other two cans can hold 7 litres and 3 litres respectively. There is no graduation mark on the cans. A customer asks for 5 litres of milk. How would you give him the amount he ask? He would not be satisfied by eye estimates.

You have been given two cans with capacities 9 and 5 litres respectively. There is no graduation marks on the cans nor is eye estimation possible. How can you collect 3 litres of water from a tap? (You are allowed to pour out water from the can). If the cans had capacities 8 and 6 litres respectively could you collect 5 litres?

The ratio of income to expenditure of Mr. Natarajan is 7: 5. if he saves Rs 2000 a month, what could be his income?

Given \(\bar{AB}\) of length 3.9 cm, construct \(\bar{PQ}\) such that the length of \(\bar{PQ}\)  is twice that of \(\bar{AB}\). Verify by measurement.                      

Given, \(\bar{AB}\) of length 7.3 cm and \(\bar{CD}\) of length 3.4 cm, construct a line segment \(\bar{XY}\) such that the length of \(\bar{XY}\) is equal to the difference between the lengths of \(\bar{AB}\) and \(\bar{CD}\). Verify by measurement.

Given, some line segment \(\bar{AB}\) whose length you do not know, construct \(\bar{PQ}\) such that the length of \(\bar{PQ}\) is twice that of \(\bar{AB}\).

How will you construct a 15^o angle?

A farmer wants to divide a sugarcane of 9 ft length between his son and daughter equally. Divide it geometrically, considering sugarcane as a line of 9 cm. Using construction,
          
(a) Find the length of each part.
(b) Which values are depicted here?