Triangles maths class 9

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

  1. 1:2:3

  2. 1:1:3

  3. 1 : 3 : 6

  4. None of these

Correct Option: B

All congruent triangles are similar, but all similar triangles are not congruent.

  1. True

  2. False

Correct Option: A

If two triangles are congruent, then they are

  1. Symmetrical

  2. Identical

  3. Equilateral

  4. Isosceles

Correct Option: A
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.

  1. True

  2. False

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

  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

Correct Option: D

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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