If Quadrilateral QRST is a parallelogram, which is not necessarily true?

a. Opposite angles are congruent. b. The diagonals bisect each other.

c. Angles are four right angles. d. Consecutive angles are supplementary.

Hold on here - what is a rectangle? How does it differ from any other kind of parallelogram

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Which statement is true about angles 3 and 5?

To determine which statement is not necessarily true if Quadrilateral QRST is a parallelogram, let's analyze each option:

a. Opposite angles are congruent: This statement is true for all parallelograms. To prove this, you can use the properties of parallel lines and transversals.

b. The diagonals bisect each other: This statement is also true for all parallelograms. The diagonals of a parallelogram bisect each other. You can prove this by using the properties of parallelograms, such as opposite sides being parallel and congruent.

c. Angles are four right angles: This statement is not necessarily true for all parallelograms. A parallelogram can have angles that are less than or greater than 90 degrees. However, if a quadrilateral has four right angles (90 degrees), it would be a rectangle, not just any parallelogram.

d. Consecutive angles are supplementary: This statement is true for all parallelograms. The consecutive angles of a parallelogram are always supplementary (their sum is 180 degrees).

Therefore, the statement that is not necessarily true if Quadrilateral QRST is a parallelogram is:
c. Angles are four right angles.