in ncert book 7.1 exercise 3rd sum what should we take first whether angles or sides and suppose we take the angles first can we write ASA rule
Asked by | 5th Oct, 2012, 06:54: PM
Expert Answer:
No, here it can not be written ASA Congruence rule. In order to know why, let us discuss what ASA congruence criterion is.
According to ASA criterion: Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.
In the given question, BC = AD.
The angles included the side BC are angles BOC and CBO.
The angles included the side AD are angles AOD and DAO.
If we could have written BC = AD, angle BOC = angle CBO and angle AOD = angle DAO, then we could have used ASA congruence criterion.
Here is the case where the sides are not included by the two angles. So, AAS congruence criterion has been used here.
No, here it can not be written ASA Congruence rule. In order to know why, let us discuss what ASA congruence criterion is.
According to ASA criterion: Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.
In the given question, BC = AD.
The angles included the side BC are angles BOC and CBO.
The angles included the side AD are angles AOD and DAO.
If we could have written BC = AD, angle BOC = angle CBO and angle AOD = angle DAO, then we could have used ASA congruence criterion.
Here is the case where the sides are not included by the two angles. So, AAS congruence criterion has been used here.
Answered by | 5th Oct, 2012, 09:54: PM
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