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Triangles maths class 9

Description: Criterion of triangles
Number of Questions: 5
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Tags: 1234
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Which one of the following cannot be the ratio of angles in a right-angled triangle?

general knowledge math & puzzles

  1. 1:2:3

  2. 1:1:3

  3. 1 : 3 : 6

  4. None of these

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Correct Option: B

All congruent triangles are similar, but all similar triangles are not congruent.
general knowledge math & puzzles

  1. True

  2. False

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Correct Option: A

If two triangles are congruent, then they are

mathematics and statistics angle and its measurement directed angles

  1. Symmetrical

  2. Identical

  3. Equilateral

  4. Isosceles

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Correct Option: A
Explanation:
Two triangles are congruent but they may not be equilateral or isosceles. (Hence option C and D are wrong)

For two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation from the first.

Identical shapes are the shapes that have exact same shape, size, and position.

Congruent triangles are symmetrical but they may not be identical (as orientation can be different)

Hence option A is correct.

If the areas of two similar triangles are equal,  then they are congruent.

maths similarity relation between perimeters of similar shapes basic proportionality theorem and its converse basic proportionality theorem

  1. True

  2. False

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Correct Option: A

SAS criterion is true when two sides  and the included angle is congruent with the when two sides  and the included angle of the other triangle are equal. The included angle means

maths properties of parallel lines and their transversal how to check for similarity in triangles? criteria for similarity of triangles criteria for triangle similarity

  1. The side between two sides

  2. The angle not between two sides

  3. The line between two sides

  4. The angle between two sides

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Correct Option: D
Explanation:

If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Therefore, D is the correct answer.

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