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 | |||
| View Explanation | |||
In the following figure, | |||
| Right Option : C | |||
| View Explanation | |||
In above figure, | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
It 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
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Yatharthi Sharma
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Shivam Rana
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Eshan Arora
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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.
