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In parallelogram WXYZ, the shorter sides are half the length of the longer sides.




Which statements are true? Check all that apply.

Quadrilateral WXYZ is a rectangle.

The quadrilateral has opposite sides that are parallel.

The quadrilateral has opposite angles that are congruent.

If in., then in.

Side WZ must be 12 inches.

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In parallelogram WXYZ the shorter sides are half the length of the longer sides Which statements are true Check all that apply Quadrilateral WXYZ is

Answer :

Final answer:

In the given parallelogram WXYZ, the statements stating the parallelogram having parallel opposite sides and congruent opposite angles are true. Without further information, we cannot affirm whether it's a rectangle or that a side measures a specific length.

Explanation:

If we examine parallelogram WXYZ, we can identify several true statements. Firstly, in any parallelogram, opposite sides are parallel, which is one of the defining properties of this shape. Secondly, it's also a fact that in a parallelogram, opposite angles are congruent. These statements remain true irrespective of the proportions of the sides.

However, not all parallelograms can be classified as rectangles. A rectangle is a specific type of parallelogram in which all angles are right angles. We don't have any information about the angles of WXYZ, so we cannot, without more information, classify it as a rectangle.

The side length or the dimensions of the sides are not given in the question. Therefore, stating that side WZ must be 12 inches, is an unsupported claim, without any provided measurements or ratios.

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