Congruent polygons have the-same area-True-False-

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Standard X

Mathematics

Congruent pol...

Question

Congruent polygons have the same area.

True

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False

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Solution

The correct option is A
True

Congruent figures have the same shape and sizes. Two polygons are congruent if their corresponding sides and angles are congruent. Two sides are said to be congruent if they have the same length and the two angles are congruent if they have the same measure. Hence the areas of two congruent polygons will be equal.

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Similar questions

Q. Which of the following statements are true and which are false;
(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two rectangles have equal area, they are congruent.
(iv) If two triangles are equal in area, they are congruent.

Question 92

State whether the statement is True or False.

Two figures are congruent if they have the same shape.

Question 93

State whether the statement is True or False.

If the areas of two squares is same, they are 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.

Congruent polygons have the same area.

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