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Choose ALL answers that describe thequadrilateral ABCD if AB = CD,BC= DA, and diagonals are congruent:AC~ BD.

Choose ALL Answers That Describe Thequadrilateral ABCD If AB CDBC DA And Diagonals Are CongruentAC BD class=

Sagot :

We have a quadrilateral ABCD that has the following characteristics:

AB = CD

BC = DA

The diagonals are congruent (AC ≅ BD).

We can draw it as:

Parallelogram: it will have two pair of sides with equal length. The diagonals are not necessarily congruent, so this quadrilateral is not a parallelogram.

Rectangle / Square: They have 2 pair of equal sides (in the case of the square, all sides have the same length) and the diagonals are congruent, as both bisect the same angles.

Rhombus: a rhombus does not necessarily have congruent diagonals, so this quadrilateral is not a rhombus.

Trapezoid: they don't have two pairs of equal sides, so this quadrilateral is not a trapezoid.

Answer: Rectangle and Square.

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