fedrick ordered a new sign for her store. The sign has 4 sides . It also has 2 right angles. 1 acute angle , and 1 obtuse angle . What is the shape of the sign.
1. Hexagon 2. Trapezoid 3. rhombus 4. parallelogram
http://www.mathsisfun.com/quadrilaterals.html
To determine the shape of the sign, we need to analyze the given information. The sign has 4 sides, 2 right angles, 1 acute angle, and 1 obtuse angle.
A hexagon has 6 sides, which does not match the given information. Therefore, we can eliminate option 1.
A trapezoid is a shape with only one pair of parallel sides. Although the given information does not mention parallel sides, it does not contradict the definition of a trapezoid. So, we cannot rule out option 2 just yet.
A rhombus is a quadrilateral with all four sides of equal length. Since the sign's sides are not all equal, we can eliminate option 3.
A parallelogram is another quadrilateral with opposite sides that are parallel. However, the given information does not mention anything about parallel sides, so we cannot definitively say it is a parallelogram. Therefore, we cannot eliminate option 4.
Based on the given information, we can conclude that the shape of the sign is a trapezoid (option 2) since it fits the criteria of having 4 sides, 2 right angles, 1 acute angle, and 1 obtuse angle.