Any two triangles are said to be congruent if nbsp-any one corresponding angle is equal-any one corresponding side is equal-all their corresponding sides are equal-any two corresponding angles are equal-

Any two trian...

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Any two triangles are said to be congruent if

any two corresponding angles are equal.

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any one corresponding angle is equal.

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all their corresponding sides are equal.

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any one corresponding side is equal.

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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.

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

Q. Two triangles are said to be congruent if their corresponding sides and are equal.

If two sides and any one angle of a triangle are equal to the corresponding two sides and an angle of another triangle, the triangles are congruent.

Q. Triangles are not congruent if any pair of corresponding sides and their included angles are equal in both triangles.