In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:
Assertion: Two equilateral triangles are always similar.
Reason: Two triangles are similar by AAA similarity criterion if corresponding angles are equal.

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Solution

Each angle of an equilateral triangle is 60°. So corresponding angles of the equilateral triangles will be equal. Hence, any two equilateral triangles will be similar by AAA similarity criterion. Thus, the reason is the correct explanation of the assertion.

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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).

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)

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: Two equilateral triangles are always similar.
Reason: AAA Similarity Criterion

Q. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

A: If ∆ABC and ∆PQR are congruent triangles, then they are also similar triangles.

R: All congruent triangles are similar but the similar triangles need not be congruent.

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In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice: Assertion: Two equilateral triangles are always similar. Reason: Two triangles are similar by AAA similarity criterion if corresponding angles are equal.

Each angle of an equilateral triangle is 60°. So corresponding angles of the equilateral triangles will be equal. Hence, any two equilateral triangles will be similar by AAA similarity criterion. Thus, the reason is the correct explanation of the assertion.

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:
Assertion: Two equilateral triangles are always similar.
Reason: Two triangles are similar by AAA similarity criterion if corresponding angles are equal.