Question

In quadrilateral ABCD, if AB≅DC and AD≅BC, then diagonals AC and BD must

A. Be equal in length
B. Be perpendicular to each other
C. Bisect each other
D. Form a right angle

Answer 1

The congruence of opposite sides in a quadrilateral does not determine specific relationships between diagonals without additional information.

Step-by-step explanation:

In quadrilateral ABCD, if sides AB and DC are congruent (AB≅DC) and sides AD and BC are congruent (AD≅BC), it does not necessarily imply any specific relationship between the diagonals AC and BD, such as being equal in length, being perpendicular to each other, bisecting each other, or forming a right angle just based on this information.

To identify a specific relationship, we would need additional information or constraints about the quadrilateral, like angle measures or if it adheres to a special category of quadrilaterals (e.g., parallelogram, rectangle, rhombus, or square).