Which of the following statements is false regarding similarity of triangles?

If two triangles are similar, their sides are equal.

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If two triangles are similar, their angles are equal.

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If two triangles are similar, their sides are proportional.

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(b) and (c) above.

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Solution

The correct option is A If two triangles are similar, their sides are equal.
If two triangles are similar, their sides are not equal, they are proportional.

So, option (a) is false.

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Similar questions

Q. Statement I : If two triangles are similar, their sides are proportional.
Statement II: If two triangles are similar, their angles are equal.

Write the truth value (T/F) of each of the following statements.
(i) Any two similar figures are congruent.
(ii) Any two congruent figures are similar.
(iii) Two polygons are similar, if their corresponding sides are porportional
(iv) Two polygons are similar, if their corresponding angles are porportional
(v) Two triangles are similar if their corresponding angles are proportional.
(v) Two triangles are similar if their corresponding angles are equal.

Q. Fill in the blanks using the correct word given in brackets :

(i) All circles are ......... (congruent, similar).
(ii) All squares are ........(similar, congruent).
(iii) All .......... triangles are similar (isosceles, equilateral):
(iv) Two triangles are similar, if their corresponding angles are .......... (proportional, equal)
(v) Two triangles are similar, if their corresponding sides are ........... (proportional, equal)
(vi) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are ...........(equal, proportional).

Q. Write the truth value (T/F) of each of the following statements:

(i) Any two similar figures are congruent.
(ii) Any two congruent figures are similar.
(iii) Two polygons are similar, if their corresponding sides are proportional.
(iv) Two polygons are similar, if their corresponding angles are proportional.
(v) Two triangles are similar if their corresponding sides are proportional.
(vi) Two triangles are similar if their corresponding angles are proportional.

Q. Statement 1: In two triangles, if two corresponding angles are equal, it’s not required to check whether the ratio of their corresponding sides is equal or not to state whether they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.

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Which of the following statements is false regarding similarity of triangles?

The correct option is A If two triangles are similar, their sides are equal.If two triangles are similar, their sides are not equal, they are proportional. So, option (a) is false.

The correct option is A If two triangles are similar, their sides are equal.
If two triangles are similar, their sides are not equal, they are proportional.

So, option (a) is false.