List of top Mathematics Questions on Measuring Line Segments

Draw any line segment, say AB. Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC + CB? [Note: If A, B, C are any three points on a line, such that AC + CB = AB, then we can be sure that C lies between A and B.]

Investigate: 
In the given figure, the angle measure 30º. Look at the same figure through a magnifying glass. Does the angle become larger? Does the size of the angle change?

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

Measure and classify each angle:

Angle	Measure	Type
\(∠AOB\)
\(∠AOC\)
\(∠BOC\)
\(∠DOC \)
\(∠DOA\)
\(∠DOB\)

If B is the mid-point of AC and C is the mid-point of BD, where A, B, C, D lie on a straight line, say why AB = CD?

Find the angle measure between the hands of the clock in each figure:

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 ________________. 

From these two angles which has larger measure? Estimate and then confirm by measuring them:

Which angle has a large measure? First estimate and then measure: 
Measure of angle A = 
Measure of angle B = 

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

Say True or False:
(a) The measure of an acute angle < 90.
(b) The measure of an obtuse angle < 90.
(c) The measure of a reflex angle > 180.
(d) The measure of on complete revolution = 360. 
(e) If m∠A = 53º and m∠B = 35º, then m∠A > m∠B. 

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

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

Verify whether D is the mid-point of AG.

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

Why is it better to use a divider than a ruler, while measuring the length of a line segment?

What is the disadvantage in comparing line segments by mere observation?