Question

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

1) Sides w x and z y are congruent
2) A line goes from point z to point x
3) The diagonals of wxyz are congruent
4) Consecutive angles of wxyz are supplementary

Answer 1

Statement 2 and Statement 4 about quadrilateral wxyz can be proved to be true.

Step-by-step explanation:

To prove which statement about quadrilateral wxyz is true, we need to examine each statement individually:

1. Statement 1: Sides w x and z y are congruent. This statement cannot be proven to be true without additional information about the lengths of the sides of quadrilateral wxyz.
2. Statement 2: A line goes from point z to point x. This statement is true as there will always be a line connecting any two points in a quadrilateral.
3. Statement 3: The diagonals of wxyz are congruent. This statement cannot be proven to be true without additional information about the lengths of the diagonals of quadrilateral wxyz.
4. Statement 4: Consecutive angles of wxyz are supplementary. This statement is true as the sum of the measures of consecutive angles in a quadrilateral is always 180 degrees.

Therefore, statement 2 and statement 4 can be proved to be true about quadrilateral wxyz.