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Introduction to Similar Triangles

When two tria...

Question

When two triangles are similar, their corresponding sides are ___.

A

equal

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B

in the ratio of 1:2:3

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C

proportional

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D

not proportional

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Solution

The correct option is C
proportional

When two triangles are similar, their corresponding angles are equal and their corresponding sides are proportional.

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

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

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.

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Introduction to Similar Triangles

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