Congruence of Triangles By SAS Criteria
Congruence of Triangles By SAS Criteria
Theorem: Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.
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Given: Two triangles ABC and DEF such that To Prove: Proof: Place As AB = DE [Given] So vertex B falls on vertex E. Since But AC = DF [ Given] Therefore, C will fall on F. Thus, AC coincides with DF. Now, B falls on E and C falls on F. Therefore, BC coincides with EF. Thus, Hence, by definition of congruence, |
| Illustration: In |
 |
Solution: We have,
[
Similarly,
]
.....(i)
In and
we have
AB = PQ [Given]
[From (i)]
and, BC = QR [Given]
So, by SAS criterion of congruence, we have
Illustration: In the given figure, AC = AE, AB = AD and .Show that BC = DE
Solution: We have,
[Given]
[Adding
to both sides]
Now, in triangles ABC and ADE,
[Given]
[From (i)]
and, [Given]
So, by SAS congruence criterion, we have
[CPCT]
In the given figure,
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| Right Option : C | |||
| View Explanation |
If AB = PR, BC = RQ and | |||
| Right Option : C | |||
| View Explanation |
In congruent triangles ABC and DEF, ∠A = ∠E = 40∘, and ∠F = 65∘, then ∠B = | |||
| Right Option : C | |||
| View Explanation | |||
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
