No. They have to have the same shape; each of their corresponding sides and angles must be congruent.
A 6*6 square has the same area as a 4*9 rectangle. The two are not congruent.
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Two congruent objects will be of the same size and the same shape. One of them may be rotated or reflected with respect to the other.
No. For example, a 12x1 and a 4x3 quadrilateral both have an area of 12, but they are not congruent.
No. The corresponding sides and angles of the two shapes MUST be the same.
Two objects having both the same size and shaped could be said to be 'congruent'.
No, symmetric and congruent do not mean the same thing. Symmetric refers to a shape or object that can be divided into two or more equal parts which are mirror images of each other. Congruent refers to two shapes or objects that have exactly the same size and shape.