Draw a sketch of a pair of similar triangles. Label them. Show their corresponding angles by the same signs. Show the lengths of corresponding sides by numbers in proportion.

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Solution

The pair of similar triangles is given below:

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Similar questions

In similar triangles, all angles are proportional with the same proportion as corresponding sides.

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. 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. 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

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)

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