Examville.com – Quick Review of Geometry – Comparison Of The Angles by examville

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Geometry study review guide from Examville

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Sometimes we have to tell which of the two angles ABC and PQR is greater by simply looking at them. The greater is the opening between the arms of the angle, the greater will be its magnitude and vice-versa. This will be clear from figure 3-10. Thus, we can compare two angles by observation.

Comparison of the angles

But, it is not always easy to decide just by observation. Then we can use the method of Tracing paper. In this method, we trace one of the angles; say ABC in fig 3-10, on a tracing paper. On placing the traced angle ABC on PQR such that the vertex B falls on the vertex Q and the aim BC along the arm QR, we may have any of the three cases for the arm PQ: Case-I: It may fall between BA and QR as shown in figure 3-11 (a). Case-II: It may fall exactly along BA as shown in figure 3-11 (b). Case III: It may fall beyond BA as shown in figure 3-11 (c). In case in PQR  ABC , in case II PQR  ABC and in case III PQR  ABC . These methods of comparing angles are not very satisfactory. For accuracy, we use geometrical instruments like protractor, or a pair of compasses to compare the angles.


								
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