Which of the following nbsp-are similar-All of the above-Circles-Squares-Equilateral triangles-

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Standard X

Mathematics

Introduction to Similarity

Which of the ...

Question

Which of the following are similar?

Circles

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Squares

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Equilateral triangles

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All of the above

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Solution

The correct option is D
All of the above

All the circles are always similar.

In the case of squares and equilateral triangles, all the corresponding angles are equal and all the corresponding sides are proportional. Hence they are similar.

Circles, squares and equilateral triangles are 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)

Q. A circle is inscribed in an equilateral triangle and a square is inscribed in the circle. The ratio of the area of the triangle to that of the square is

Q. In the above figure, ABCD is a square and triangle ADE is equilateral. Find

∠ E F D

Which of the following is(are) true in the case of equilateral triangles?

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. Using the above result :

To prove that the area of the equilateral triangle described on the side of a right-angled isosceles triangle is half the area of the equilateral triangle described on its hypotenuse.

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Which of the following are similar?

The correct option is D All of the above All the circles are always similar. In the case of squares and equilateral triangles, all the corresponding angles are equal and all the corresponding sides are proportional. Hence they are similar. Circles, squares and equilateral triangles are similar.

The correct option is D
All of the above

All the circles are always similar.

In the case of squares and equilateral triangles, all the corresponding angles are equal and all the corresponding sides are proportional. Hence they are similar.

Circles, squares and equilateral triangles are similar.