QUESTION IMAGE
Question
2
select the correct answer from each dropdown menu.
three shapes are shown.
three shapes: a parallelogram, a hexagon, a trapezoid
which terms best describe the angles and sides of the group of shapes?
the shapes all have at least one acute and one obtuse angle and at least one pair of dropdown sides.
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Step1: Analyze each shape
- The first shape is a parallelogram: it has two acute and two obtuse angles, and opposite sides are parallel and equal (so at least one pair of parallel sides).
- The second shape is a regular hexagon: all angles are \(120^\circ\) (obtuse) and it has multiple pairs of parallel sides.
- The third shape is a trapezoid (a quadrilateral with one pair of parallel sides): it has two right angles, one acute, and one obtuse angle (or depending on the exact trapezoid, but in general, trapezoids have at least one pair of parallel sides and angles can include acute/obtuse).
Step2: Determine the side property
All three shapes (parallelogram, hexagon, trapezoid) have at least one pair of parallel sides. A parallelogram has two pairs of parallel sides, a regular hexagon has three pairs of parallel sides, and a trapezoid has one pair of parallel sides. So the common side property is having at least one pair of parallel sides.
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