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Q: Are the diagonals of an isosceles always congruent?

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yes! But only an isosceles Trapezoid.

A trapezoid with congruent diagonals is an isosceles trapezoid.

Only as in the form of an isosceles trapezoid are its diagonals congruent.

Only the diagonals of isosceles trapezoids are congruent.

The diagonals of an isosceles trapezoid are congruent in lengths

Yes They are always congruent to each other.

square, rectangle and an isosceles trapezoid.

The diagonals of a square. Each equals to s√2, where s is the side-length of the square. A rectangle and an isosceles trapezoid also have congruent diagonals.

No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.

what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles

Yes.

False

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