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Select all statements
A. Two squares with the same lengths are always congruent
B. Two rectangles with the same side lengths are always congruent
C. two rhombuses with the same side lengths are always congruent
D. two parallelograms with the same side lengths are always congruent
E. two quadrilaterals with the same side lengths are always congruent
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sudiptharu

Step-by-step explanation:

(A) squares are congruant .

(B) rectangle having equal length of same side is congruent.

(C)it is true because it have same side length are equal.

(D)it is true because same same side length are equal.

(E) it is truebecause same side length are equal.

olayemiolakunle65

The statements that are correct in the given question are: options A, B and C.

Quadrilaterals are figures or shape bounded by four straight sides. Thus each quadrilateral has its sum of interior angles to be [tex]360^{o}[/tex]. Examples include; rectangle, square, trapezium, rhombus, kite, parallelogram.

Considering the properties of each quadrilateral given in the question, it can be inferred that;

  • squares of equal length of sides are congruent.
  • rectangles of equal length of sides are congruent.
  • rhombuses with equal side lengths are congruent.
  • parallelogram with the same side lengths may not be congruent. This is because the angles of the slanting sides may not be the same.
  • quadrilaterals with the same side length may not congruent. Example: rectangle and parallelogram of the same side length are not congruent.

Therefore, the appropriate statements that are correct are: options A, B and C.

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