Which of the following statements are correct for the correspondence between the vertices of two triangles?
(P) The area of two similar triangles is equal.
(Q) The corresponding angles of both similar triangles are having same proportion.
(R) The corresponding sides of both similar triangles are having same proportion.
(S) The corresponding sides of both similar triangles are congruent.

Only statement R is correct.

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Statement Q and S are correct.

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Statement P, Q and R are correct.

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Statement Q and R are correct.

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Solution

The correct option is D Statement Q and R are correct.
For two similar triangles,
a. The corresponding angles are congruent.
b. The corresponding sides are in proportion.
Thus, for correspondence between vertices of two triangles, the statement Q and R are correct.

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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.

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 porportional
(iv) Two polygons are similar, if their corresponding angles are porportional
(v) Two triangles are similar if their corresponding angles are proportional.
(v) Two triangles are similar if their corresponding angles are equal.

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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The correct option is D Statement Q and R are correct.For two similar triangles,a. The corresponding angles are congruent.b. The corresponding sides are in proportion.Thus, for correspondence between vertices of two triangles, the statement Q and R are correct.

The correct option is D Statement Q and R are correct.
For two similar triangles,
a. The corresponding angles are congruent.
b. The corresponding sides are in proportion.
Thus, for correspondence between vertices of two triangles, the statement Q and R are correct.