Middle School

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Which statement about quadrilateral WXYZ can be proved to be true?

A. Diagonals of WXYZ are congruent.
B. Consecutive angles of WXYZ are supplementary.
C. The diagonals of WXYZ bisect opposite angles.
D. Consecutive angles of a parallelogram are congruent.

Answer :

Final answer:

Consecutive angles of a parallelogram are supplementary, thus for quadrilateral WXYZ, this is the statement that can be proven. Moreover, a vector can form a right-angle triangle with its components, and the Pythagorean theorem applies when calculating the resultant vector of two vectors at right angles.

Explanation:

When evaluating which statement about quadrilateral WXYZ can be proved to be true, we need to assess the properties of a parallelogram.

The only statement that generally applies to parallelograms is that consecutive angles are supplementary. Therefore, option (b) Consecutive angles of WXYZ are supplementary is the provable statement.

Regarding vectors, it is true that a vector can form the shape of a right-angle triangle with its x and y components, as stated in option 60.

For option 36, the Pythagorean theorem can indeed be used to calculate the length of the resultant vector when two vectors are at right angles to each other.

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