Which of the following statements is false-All squares are similar-Similar figures are always congruent-All circles are similar-Congruent figures nbsp-are always similar-

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Standard X

Mathematics

Introduction to Similarity

Which of the ...

Question

Which of the following statements is false?

All circles are similar.

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All squares are similar.

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Similar figures are always congruent.

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Congruent figures are always similar.

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Similar questions

Fill in the blanks using correct word given in the brackets:−

(i) All circles are __________. (congruent, similar)

(ii) All squares are __________. (similar, congruent)

(iii) All __________ triangles are similar. (isosceles, equilateral)

(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and (b) their corresponding sides are __________. (equal, 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.

Similar figures are always congruent, whereas the congruent figures are not necessarily similar.

All congruent figures are similar but similar figures need not be congruent.

Q. Which of the following is a true statement?
(a) Two similar triangles are always congruent.
(b) Two figures are similar if they have the same shape and size.
(c) Two triangles are similar if their corresponding sides are proportional.
(d) Two polygons are similar if their corresponding sides are proportional.

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