State true or false: If all the corresponding angles of two triangles are the same, then the two triangles are necessarily congruent.

True

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False

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Solution

The correct option is B
False

If all the corresponding angles of two triangles are equal, then triangles have the same shape, but not necessarily the same size and hence may not be congruent. See the figure below. The corresponding angles of both triangles are equal, but still their sizes are not the same and hence they are not congruent.

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Similar questions

In two triangles, if two corresponding sides and an angle are equal, then the triangles are necessarily congruent. True/False?

Question 101

State whether the statement is True or False.

If two triangles are congruent, then the corresponding angles are equal.

Q. State True or False. If false, give reasons for that:
If two triangles are congruent, their corresponding angle are equal.

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.

State true or false:
All corresponding angles are equal for two similar triangles.

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