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Given quadrilateral ABCD, if diagonals AC and BD bisect each other, and angle ABC=91°, but you know nothing about any lengths in the diagram, what special figure MUST ABCD be? A rhombus or a parallelogram? HOW DO YOU KNOW.

Given quadrilateral ABCD if diagonals AC and BD bisect each other and angle ABC91 but you know nothing about any lengths in the diagram what special figure MUST class=

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Answer:

ABCD must be a paralellogram

Step-by-step explanation:

In parallelogram, rectangle, square and rhombus the diagonals bisect each other. Since angle ABC=91°, then this quadrilateral cannot be rectangle and cannot be square, because rectangle and square have all right angles (90°).

If diagonals of a quadrilateral bisect each other, then quadrilateral is parallelogram. A rhombus is a parallelogram with all congruent sides.

You know nothing about any lengths in the diagram, then you can state that this quadrilateral is parallelogram (always) and can be rhombus (sometimes).

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