If all corresponding angles of two triangles are equal and the corresponding sides are proportional, then the triangles can be said to be __________.

Equilateral Triangles

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Congruent Triangles

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Isosceles Triangles

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Similar Triangles

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Solution

The correct option is D
Similar Triangles

Two triangles are called similar triangles if all the corresponding angles in two triangles are equal and the corresponding sides are proportional.

In the above pair of triangles $∠ A$ = $∠ P$ , $∠ B$ = $∠ Q$ and $∠ C$ = $∠ R$

And $\frac{A B}{P Q}$ = $\frac{B C}{Q R}$ = $\frac{A C}{P R}$

So we can say that $△ A B C$ ~ $△ P Q R$ .

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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. 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 polygons of the same number of sides are similar, if (a) their corresponding angles are _______ and (b) their corresponding sides are ______. (equal, proportional)

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)

In two triangles; if a pair of corresponding angles and a ___ are equal, then the triangles are necessarily congruent.

State, true or false :
(i) Two similar polygons are necessarily congruent.
(ii) Two congruent polygons are necessarily similar.
(iii) All equiangular triangles are similar.
(iv) All isosceles triangles are similar.
(v) Two isosceles-right triangles are similar.
(vi) Two isosceles triangles are similar if an angle of one is congruent to the corresponding angle of the other.
(vii) The diagonals of a trapezium divide each other into proportional segments.

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