Which terms describe this shape? Choose all that apply.
Understand the Problem
The question is asking which geometric terms apply to the indicated shape (a quadrilateral). It provides options such as isosceles trapezoid, rectangle, parallelogram, and kite for the user to classify the shape correctly.
Answer
The shape is a rectangle and a parallelogram.
Answer for screen readers
The terms that describe this shape are:
- rectangle
- parallelogram
- kite (if adjacent sides are equal, but here it is confirmed only as a rectangle and parallelogram).
Steps to Solve
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Identify the shape The given shape is a quadrilateral with opposite sides shown as equal and parallel.
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Check for properties of a rectangle In a rectangle, all angles are right angles (90 degrees), and opposite sides are equal. This shape appears to have right angles and equal opposite sides, fitting the definition of a rectangle.
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Check for properties of a parallelogram A parallelogram has opposite sides that are equal and parallel. Since this shape has equal and parallel opposite sides, it qualifies as a parallelogram.
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Check for properties of an isosceles trapezoid An isosceles trapezoid has one pair of parallel sides and the non-parallel sides are equal in length. Since this shape has two pairs of parallel sides, it does not qualify as an isosceles trapezoid.
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Check for properties of a kite A kite has two pairs of adjacent sides that are equal. This shape does not fit this definition because it has opposite sides that are equal instead of adjacent sides.
The terms that describe this shape are:
- rectangle
- parallelogram
- kite (if adjacent sides are equal, but here it is confirmed only as a rectangle and parallelogram).
More Information
This shape fits the definitions of both a rectangle and a parallelogram due to its properties. It does not qualify as an isosceles trapezoid because there are two pairs of parallel sides, and it does not meet the criteria for a kite.
Tips
- Assuming a shape can be classified under multiple categories without checking the properties carefully.
- Misidentifying the angles; if they're not right angles, it cannot be classified as a rectangle.
