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Similarity of Triangles

Two equilater...

Question

Two equilateral triangles are congruent when:

A

Their areas are proportional

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B

Their angles are equal

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C

Their sides are equal

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D

Their sides are proportional

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Solution

The correct option is C
Their sides are equal

Their sides are equal

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Similar questions

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. 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 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 triangles are similar if their corresponding angles are proportional.

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

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