Which terms describe this shape? Choose all that apply.
Understand the Problem
The question is asking to classify a given shape (a rectangle) by identifying which terms apply to it from the provided options. This involves recognizing the attributes of the rectangle and determining fitting geometric classifications.
Answer
The shape is a $ \text{quadrilateral} $, $ \text{rectangle} $, and $ \text{parallelogram} $.
Answer for screen readers
The terms that describe this shape are: quadrilateral, rectangle, and parallelogram.
Steps to Solve
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Identify the shape and its properties
The given shape is a rectangle. A rectangle has four sides, with opposite sides being equal in length and all angles being right angles. -
Classify as a quadrilateral
Since a rectangle is a four-sided polygon, it is classified as a quadrilateral.
This can be represented as:
$$ \text{quadrilateral} = \text{4 sides} $$ -
Check for characteristics of a rectangle
A rectangle has specific characteristics: opposite sides are equal and all angles are equal to $90^\circ$.
Thus, a rectangle is always a rectangle. -
Determine if it's a parallelogram
A rectangle is also a parallelogram because both pairs of opposite sides are parallel and equal in length, satisfying the conditions for parallelograms.
This can be expressed as:
$$ \text{parallelogram} = \text{Opposite sides parallel} $$ -
Kite classification
A kite has two distinct pairs of adjacent sides that are equal. Since a rectangle does not satisfy this property, it cannot be classified as a kite.
The terms that describe this shape are: quadrilateral, rectangle, and parallelogram.
More Information
A rectangle is a type of quadrilateral with unique properties that also fits within other classifications like parallelograms. Interestingly, every rectangle is a parallelogram, but not every parallelogram is a rectangle.
Tips
- Confusing a rectangle with a kite due to their quadrilateral nature. Remember that kites have two pairs of equal adjacent sides, unlike rectangles.
- Overlooking that while all rectangles are parallelograms, not all parallelograms are rectangles.
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