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Which of the following are models for perpendicular lines: (a) The adjacent edges of a table top. (b) The lines of a railway track. (c) The line segments forming the letter ‘L’. (d) The letter V.

Solution (a) The adjacent edges of a table top are perpendicular to each other. (b) The lines of a railway... View Article

Measure and classify each angle.

Measure and classify each angle: Angle Measure Type ∠AOB ∠AOC ∠BOC ∠DOC ∠DOA ∠DOB Solution: Angle Measure Type ∠AOB 400... View Article

Investigate In the given figure, the angle measure 300. Look at the same figure through a magnifying glass. Does the angle becomes larger? Does the size of the angle change?

Solution: The measure of an angle will not change by viewing through a magnifying glass

Find the measure of the angle shown in each figure. (First estimate with your eyes and then find the actual measure with a protractor).

Solution: The measures of the angles shown in above figure are 400, 1300, 650 and 1350

Fill in the blanks with acute, obtuse, right or straight: (a) An angle whose measure is less than that of a right angle is _ (b) An angle whose measure is greater than that of a right angle is (c) An angle whose measure is the sum of the measures of two right angles is _ (d) When the sum of the measures of two angles is that of a right angle, then each one of them is _ (e) When the sum of the measures of two angles is that of a straight angle and if one of them is acute then the other should be ____

Solution (a) An angle whose measure is less than that of a right angle is acute angle (b) An angle whose... View Article

Which angle has a large measure? First estimate and then measure.

Measure of Angle A = Measure of Angle B = Solution: The measure of angle A is 400 The measure... View Article

Measures the angles given below using the protractor and write down the measure.

Solution: (a)The measure of the angle given in the figure is 450 (b) The measure of the angle given in... View Article

Write down the measures of (a) some acute angles (b) some obtuse angles (give at least two examples of each)

Solution (a)The measures of an acute angle are 200, 350 (b) The measures of obtuse angle are 1400, 1150

Say True or False: (a) The measure of an acute angle < 900 (b) The measure of an obtuse angle < 900 (c) The measure of a reflex angle > 1800 (d) The measure of one complete revolution = 3600 (e) If m ∠A = 530 and m ∠B = 350, then m ∠A > m ∠B.

Solution (a)The given statement is True. The measure of an acute angle is less than 900 (b) The given statement... View Article

What is the measure of (i) a right angle? (ii) a straight angle

Solution (i) The measure of a right angle is 900 (ii) The measure of a straight angle is 1800

Where will the hour hand of a clock stop if it starts (a) from 6 and turns through 1 right angle? (b) from 8 and turns through 2 right angles? (c) from 10 and turns through 3 right angles? (d) from 7 and turns through 2 straight angles?

Solution We know that In 1 complete revolution in either clockwise or anticlockwise direction, the hour hand of a clock... View Article

How many right angles do you make if you start facing (a) south and turn clockwise to west? (b) north and turn anti – clockwise to east? (c) west and turn to west? (d) south and turn to north?

Solution By revolving one complete round in either clockwise or anti-clockwise direction, we will revolve by 3600 and two adjacent directions... View Article

Find the number of right angles turned through by the hour hand of a clock when it goes from (a) 3 to 6 (b) 2 to 8 (c) 5 to 11 (d) 10 to 1 (e) 12 to 9 (f) 12 to 6

Solution The hour hand of a clock revolves by 3600 or by it covers 4 right angles in one complete revolution... View Article

What part of a revolution have you turned through if you stand facing (a) east and turn clockwise to face north? (b) south and turn clockwise to face east (c) west and turn clockwise to face east?

Solution By revolving one complete revolution either in clockwise or in an anti-clockwise direction, we will revolve by 3600 and two... View Article

Which direction will you face if you start facing (a) east and make 1 / 2 of a revolution clockwise? (b) east and make 1 ½ of a revolution clockwise? (c) west and make 3 / 4 of a revolution anti – clockwise? (d) south and make one full revolution? (should we specify clockwise or anti – clockwise for this last question? Why not?)

Solution Revolving one complete round in clockwise or in an anti-clockwise direction will revolve by 3600 and two adjacent directions are... View Article

Where will the hand of a clock stop if it (a) starts at 12 and makes 1/2 of a revolution, clockwise? (b) starts at 2 and makes 1/2 of a revolution, clockwise? (c) starts at 5 and makes 1/4 of a revolution, clockwise? (d) starts at 5 and makes 3/4 of a revolution, clockwise?

Solution We know that In one complete clockwise revolution, the hour hand will rotate by 3600 (a) When the hour... View Article

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from (a) 3 to 9 (b) 4 to 7 (c) 7 to 10 (d) 12 to 9 (e) 1 to 10 (f) 6 to 3

Solution: We know that In one complete clockwise revolution, the hour hand will rotate by 3600 (a) When the hour... View Article

Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always less than the third side.

Solution: Case 1. Let us draw triangle ABC AB= 2.5 cm BC = 4.8 cm and AC = 5.2 cm... View Article

If B is the mid point of [latex]overline{AC}[/latex] and C is the mid point of [latex]overline{BD}[/latex] where A, B, C, D lie on a straight line, say why AB = CD?

Given that B is the midpoint of AC. Hence, AB = BC————– (1) C is the midpoint of BD. Hence,... View Article

If A, B, C are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?

Solution Given AB = 5 cm BC = 3 cm AC = 8 cm From the given data AC =... View Article

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