Jackson made a poster in the shape of a quadrilateral. Opposite sides of the poster are congruent and parallel. Which of the following names the shape of Jackson’s poster?
A.square
B.rhombus**
C.rectangle
D.trapzoid
not quite.
Only opposite sides are congruent.
A and B have all four sides congruent.
To determine the shape of Jackson's poster, we need to examine the properties of the quadrilateral. The information given states that opposite sides of the poster are congruent and parallel.
A square is a quadrilateral with all sides congruent and all angles right angles. Since the information does not mention anything about the angles, we cannot conclude that the poster is a square.
A rhombus is a quadrilateral with all sides congruent. Since opposite sides are congruent, the poster could potentially be a rhombus.
A rectangle is a quadrilateral with opposite sides congruent and all angles right angles. Since the information does not mention anything about the angles, we cannot conclude that the poster is a rectangle.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. Since the information states that opposite sides are congruent and parallel, we cannot conclude that the poster is a trapezoid.
Based on the given information, the best choice is B. rhombus, as it fits the description of opposite sides being congruent and parallel.