Question

choose all answers that describe the polygon tuvw if tu || vw and uv || wt. answer attempt 1 out of 2 parallelogram quadrilateral rectangle rhombus square trapezoid

Explanation:

1. Quadrilateral: A polygon with four sides is a quadrilateral. \( TUVW \) has four vertices (T, U, V, W), so it is a quadrilateral.
2. Parallelogram: A quadrilateral with both pairs of opposite sides parallel is a parallelogram. Given \( TU \parallel VW \) and \( UV \parallel WT \) (opposite sides parallel), \( TUVW \) satisfies the definition of a parallelogram.
3. Rectangle, Rhombus, Square: These are special types of parallelograms, but we do not have information about right angles (for rectangle/square) or equal - side lengths (for rhombus/square). So we cannot confirm these.
4. Trapezoid: A trapezoid has only one pair of parallel sides, but \( TUVW \) has two pairs, so it is not a trapezoid.

Answer:

A. Parallelogram
B. Quadrilateral