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Common mistakes made when working on similar triangles

Though the students enjoy working with similar triangles, however in many cases they tend to make mistakes. These mistakes could be because of carelessness or because the child did not understand the concept properly. It is always a good idea to be aware about the common mistakes which students usually make so that these can be corrected from the early age. Here are some of the common mistakes which students usually make when working on similar triangles.

☞ Two similar triangles are equal in area

The correct statement is Two similar triangles MAY or MAY NOT be equal in area.

Ways to teach the children to minimize this error
  • Let us take an example as given below:
    An equilateral triangle ABC have all the sides as 6 cm.
    An equilateral triangle PQR have all the sides as 9 cm.
    In the above example, though the triangles ABC & PQR are equilateral and therefore they are similar, however the areas of these triangles are not equal.
  • ☞ Two similar triangles are also congruent triangles

    The correct statement is Two similar triangles MAY or MAY NOT be congruent.

    Ways to teach the children to minimize this error
  • Let us take an example as given below:
    An equilateral triangle ABC have all the sides as 6 cm.
    An equilateral triangle PQR have all the sides as 9 cm.
    In the above example, though the triangles ABC & PQR are equilateral and therefore they are similar, however the corresponding sides are not equal.
    ∴ triangle ABC is not congruent to triangle PQR


  • The best way to remove the above confusion and to ensure the children have less chance of committing mistakes is to practice the problems related to the above situations. Click on Similar Triangles to practice.

    We will be happy to hear from you. To leave a feedback or share your experience about any type of mistake made while solving Math problem, please click My Comment.

    Given below are other commonly made mistakes in Math:
    Clock Reading Time | Exponents & Power | Whole to number-word | Square root | Lines & Angles | Integers | Area Plane Figure | Perimeter Plane Figure | Algebraic Identities | Congruence of Triangles | Similar Triangles | Coordinate Geometry | Trigonometry | Solving equations | Polynomial | Division | Algebraic Expression | Average |
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