Question

Choose ALL answers that describe the polygon S, T, U, VSTUV if start overline, S, T, end overline, \cong, start overline, U, V, end overline
ST
≅
UV
, start overline, T, U, end overline, \cong, start overline, V, S, end overline
TU
≅
VS
, m, angle, S, equals, 90, degreesm∠S=90
∘
, m, angle, T, equals, 90, degreesm∠T=90
∘
, m, angle, U, equals, 90, degreesm∠U=90
∘
, and m, angle, V, equals, 90, degreesm∠V=90
∘
.Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid

Answer 1

Answers: Quadrilateral, Parallelogram, Rectangle.

Reason: STUV has four sides so it is a quadrilateral. Both pairs of opposite sides are congruent (ST ≅ UV and TU ≅ VS), which implies it is a parallelogram. All four interior angles are 90°, so it is a rectangle (a special parallelogram). It need not be a rhombus or square because adjacent sides are not given as all equal. (Under the usual school definition of trapezoid as exactly one pair of parallel sides, it is not a trapezoid.)