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Q: Which quadrilateral must have diagonals that are congruent and perpendicular?

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False

False. It could be a rhombus.

False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

False. ^^^ Wronnngg! Its True (Apex). ^ No you are wrong, It is false.

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No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).

diagonals.

no

False

false

Not necessarily. But a parallelogram with perpendicular diagonals must always be one.

False. It could be a rhombus.

False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

It is a square because its diagonals are equal in length and they bisect each other at right angles which is 90 degrees The diagonals of a rhombus are not equal in length but they meet at right angles.

False. ^^^ Wronnngg! Its True (Apex). ^ No you are wrong, It is false.

No. It is false. If both of those conditions are met, then the quadrilateral is a square.

A rhombus is a quadrilateral whose four sides are congruent. Squares are a type of rhombus with congruent angles. Since there are 4 contruent angles, they must all be right angles.So any quadrilateral that is equilateral is a rhombus and any rhombus with 4 right angles is a square. Every rhombus is a parallelogram because the opposite angles of a rhombus are congruent. Also, the diagonals of a rhombus are perpendicular.

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