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 following figure,
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| Right Option : A | |||
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In the above figure, if | |||
| Right Option : A | |||
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In above figure, | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas 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
10thOne 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
10thI 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 a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
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.
Ayan Ghosh
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
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Barkha Arora
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
7thMy 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.
