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.
|
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]
| |||
| Right Option : B | |||
| View Explanation | |||
Are the triangles congruent ?In the figure given below, AB = CF, EF = BD and
| |||
| Right Option : B | |||
| View Explanation | |||
In the figure given above, AC = CE and BC = CD and | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thMy 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.
Shivam Rana
7thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
