Which of the following statments are false ?

The shape and size of two congurent triangles are not equal.

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The corresponding angles of two similar triangles are equal and the corresponding sides are propotional.

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The size and shape of two similar triangles are always same.

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Two congurent triangles may or may not be similar triangle.

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Solution

The correct options are
A
The shape and size of two congurent triangles are not equal.

C
The size and shape of two similar triangles are always same.

D
Two congurent triangles may or may not be similar triangle.

Two triangles are said to be congruent if they are equal in shape and size.

Similar triangles are the ones which have the same shape and proportional sides.

Congruent triangles are always similar as they are of the same shape and their sides are equally proportional.

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Similar questions

Q. 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.

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)

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

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.

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