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Common mistakes made by students in Similarity of Triangles in CBSE Class 10

Education

Common mistakes made by students in Similarity of Triangles in CBSE Class 10

An example from a past year paper will help you know where students falter.

By Topperlearning Expert 22nd Jan, 2020 04:29 pm

Triangles is one of the most important chapters as far as the CBSE Class 10 board exam is concerned, and it is often regarded as the one where students make silly mistakes when solving questions, thus causing them to lose marks.

The chapter also holds a high weightage of marks in the paper pattern, so skipping it is not an option. Difficulty-wise, this chapter is not that tough to crack in the exam. The chapter should also not be taken lightly. With all of this being said, you now have a clear idea that understanding and solving examples of triangles are imperative if you are looking to score good marks.

While solving problems, there are a few common mistakes which a student can make. We’ll discuss these mistakes with the help of an example and the steps to avoid making the mistake in the first place.

The example we’ve chosen is a very common one asked many times in the CBSE Class 10 board exams. The question is as follows:

 

AD and PM are medians of triangles ABC and PQR, respectively, where

∆ ABC ∼ ∆ PQR. Prove that

 

Solution:

Given: AD and PM are medians of triangles ABC and PQR, respectively.

  

⧍ABC ~⧍PQR

So, by C.P.S.T.,

There’s also confusion among students between similarity and congruency of triangles. Here are a few properties of similar triangles and congruent triangles which will help you to clear that confusion:

  •  In case of congruent triangles, the triangles are the exact same. While in similar triangles, they are diminished or enlarged versions of a triangle.
  •  In case of congruency, the corresponding sides are equal. In similarity, the ratios of the corresponding sides are equal, so the sides need not be equal.
  •  All equal triangles are similar triangles, but not all similar triangles are equal.
  •  Corresponding angles of both similar and congruent triangles are equal.
  •  Congruency of triangles can be proved by following triangle congruency theorems:
  • AAS or SAA or ASA
  • SAS only (not SSA and ASS)
  • SSS
  • Right hypotenuse side test
  • SAS only (not SSA and ASS)
  • SSS
  • AA or AAA

Keeping all the above mentioned points in mind will surely help you to reduce the mistakes you make while solving examples related to similarity of triangles. To learn more and score more in the exams, visit TopperLearning.com.

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