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SSS Similarity

Are two trian...

Question

Are two triangles with equal corresponding sides always similar

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Solution

Dear student,
Yes, they are similar by SSS similarity theorem.
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Similar questions

Q. Two triangles with equal corresponding sides are always similar.

Q. In similar triangles,
1. The corresponding angles are equal.
2. The corresponding sides are always equal.
3. The corresponding sides are always proportional.

In similar triangles,

I. The corresponding angles are equal.

II. The corresponding sides are always equal.

III. The corresponding sides are always proportional.

In a similar triangle,

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III. The corresponding sides are always 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 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).

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