Valentina calculated that segment AE≈3.8

Question

units and segment BE≈2.9
units. What additional information does she need in order to prove that ABCD
is a parallelogram?

(1 point)
Responses

Valentina will also need to show that segment CE≈2.9
units and segment DE≈3.8
units. This will show that sides AC
and BD
bisect each other, which proves that ABCD
is a parallelogram.
Valentina will also need to show that segment cap c cap e almost equal to 2 point 9 units and segment cap d cap e almost equal to 3 point 8 units. This will show that sides upper A upper C and upper B upper D bisect each other, which proves that upper A upper B upper C upper D is a parallelogram.

Valentina will also need to show that segment CE≈3.8
units and segment DE≈2.9
units. This will show that lines AC
and BD
bisect each other, which proves that ABCD
is a parallelogram.
Valentina will also need to show that segment cap c cap e almost equal to 3 point 8 units and segment cap d cap e almost equal to 2 point 9 units. This will show that lines upper A upper C and upper B upper D bisect each other, which proves that upper A upper B upper C upper D is a parallelogram.

Valentina will also need to show that side AD
is parallel to side BC
because they are both horizontal lines.
Valentina will also need to show that side upper A upper D is parallel to side upper B upper C because they are both horizontal lines.

Valentina will also need to show that sides AB
and CD
both have the same length of 3.2.
Valentina will also need to show that sides upper A upper B and upper C upper D both have the same length of 3.2.

Answer 1

To prove that quadrilateral ABCD is a parallelogram, Valentina can use the property that the diagonals of a parallelogram bisect each other. She already has the lengths of segments AE and BE, and to proceed, she needs to show that the segments connecting the other sides also bisect at point E.

The correct choice from the options you provided is:

Valentina will also need to show that segment CE≈2.9 units and segment DE≈3.8 units. This will show that sides AC and BD bisect each other, which proves that ABCD is a parallelogram.

This option directly aligns with the necessary information needed to demonstrate that the diagonals bisect each other, which is a fundamental condition for a quadrilateral to be classified as a parallelogram.