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Congruency of Triangles

Any two trian...

Question

Any two triangles are said to be congruent if they have __ .

A

opposite sides equal

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B

equal angles

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C

same measures

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D

equal sides

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Solution

The correct option is C same measures
Any two triangles are said to be congruent if they have same measures.

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Q. Assertion :If two triangles have same perimeter, then they are congruent. Reason: If under a given correspondence, the three sides of one triangle are equal to the three sides of the other triangle, then the two triangles are congruent.

Q. Two triangles having same side lengths and same corresponding angles are said to be congruent triangles.

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. If 1 side and 1 angle of a triangle are equal to 1 side and 1 angle of another triangle, then they are said to be congruent.

Q. Any two triangles are said to be congruent if

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Congruency of Triangles

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