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SAS Criteria for Congruency

If all the th...

Question

If all the three corresponding angles of any two triangles are equal then the triangles are said to be congruent.

A

False

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B

True

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Solution

The correct option is A False

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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.

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

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

Q. If the corresponding interior angles of two triangles are equal, then both the triangles must be congruent.

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

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