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Introduction to Trigonometry

Two triangles...

Question

Two triangles are similar by SAS similarity if, the ratio of two corresponding sides is equal and the included angles are equal.

A

True

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B

False

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Solution

The correct option is A True

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Similar questions

Q. SAS criterion is true when In two triangles, a pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar.

Q. If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar by which similarity

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.

Q. If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.

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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