A parallelogram has vertices upper W, upper X, upper Y, and upper Z. Opposite vertices are connected via diagonal lines that intersect at an interior point labeled upper V. Sides upper W upper X and upper Z upper Y are longer than the other sides.
If quadrilateral WXYZ
is a parallelogram, which segment of the figure must be congruent to segment ZV¯¯¯¯¯¯¯¯
?
(1 point)
Responses
XV¯¯¯¯¯¯¯¯
upper X upper V
WZ¯¯¯¯¯¯¯¯¯
upper W upper Z
WV¯¯¯¯¯¯¯¯¯
upper W upper V
ZX¯¯¯¯¯¯¯¯
1 answer
In a parallelogram, the diagonals bisect each other. This means that each diagonal is divided into two segments of equal length at the point where they intersect.
Given the point V is where the diagonals intersect and segment ZV is being referenced, the segment that must be congruent to segment ZV is segment XV.
Therefore, the correct answer is:
XV
