Similarity of Triangles by AAA Criteria
Similarity of Triangles by AAA Criteria
Similarity of Triangles by AAA Criteria:
Theorem : If in two triangles, the corresponding angles are equal, then the corresponding sides are proportional ( i.e., in the same ratio) and hence the triangles are similar.
Given: in To Prove : Construction: Cut DP = Ab and DQ = Ac and Join PQ. Proof: In AB = DP [ By Construction ] AC = DQ [ By Construction ] Hence But Hence But they are corresponding angles when PQ and EF are straight lines and Transversal DE cuts them. As they are equal So the lines are parallel Therefore by Basic Proportionality Theorem
Taking Reciprocal both Sides and adding 1 to both sides we get Taking Reciprocal we get replacing DP with AB and DQ with AC as they are equal by construction We get Similary We can prove that And Hence |
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Illustration : If AB || CD , prove that Solution: As AB || CD then
Therefore, |  |
In the above figure, if | |||
| Right Option : A | |||
| View Explanation | |||
In the following diagram, | |||
| Right Option : C | |||
| View Explanation | |||
In the above figure, the two triangles are similar. Which criteria is used for the similarity of these two triangles? | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thA 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
7thBeing 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
8thAbout 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
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thIt 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
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
7thIt 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
10thAbhyas 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.
Manish Kumar
10thMy 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.
