State whether the given statements are true or false.

Statement I : If two triangles are similar, their sides are proportional.
Statement II: If two triangles are similar, their angles are equal. (2 marks)

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Solution

If two triangles are similar, then their CORRESPONDING angles are equal and their CORRESPONDING sides are proportional. The word ‘corresponding’ is important in context of similarity. (2 marks)

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Similar questions

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).

Fill in the blanks using the correct word given in brackets:
(i) All circles are ___ (conruent, similar).
(ii) All squares are ___ (similar, congruent)
(iii) All ___ triangles are similar (isoscles, equilaterals):
(iv) Two triangles are similar, if their corresponding sides are ___(propotional, equal)
(v) Two traingles 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 are ___ (equal, proportional)

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

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

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State whether the given statements are true or false. Statement I : If two triangles are similar, their sides are proportional. Statement II: If two triangles are similar, their angles are equal. (2 marks)

If two triangles are similar, then their CORRESPONDING angles are equal and their CORRESPONDING sides are proportional. The word ‘corresponding’ is important in context of similarity. (2 marks)

State whether the given statements are true or false.

Statement I : If two triangles are similar, their sides are proportional.
Statement II: If two triangles are similar, their angles are equal. (2 marks)