Which terms describe this shape? Choose all that apply.
Understand the Problem
The question is asking to identify terms that describe a given geometric shape. The user needs to select all applicable classifications for the shape shown in the image, which is related to geometry and specifically quadrilaterals.
Answer
The shape can be classified as an isosceles trapezoid, quadrilateral, and kite.
Answer for screen readers
The terms that describe the shape are "isosceles trapezoid," "quadrilateral," and "kite."
Steps to Solve
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Identify the Shape
Observe the given figure and note its characteristics. The shape appears to have two pairs of adjacent sides that are equal in length. -
Classify as Quadrilateral
All four-sided shapes, including the one shown, are classified as quadrilaterals. Thus, the term "quadrilateral" applies. -
Check for Isosceles Trapezoid
An isosceles trapezoid has one pair of opposite sides that are parallel, and the non-parallel sides are equal in length. The figure fits this definition, confirming it is an "isosceles trapezoid." -
Verify as Parallelogram
A parallelogram has opposite sides that are equal and parallel. This figure does not have both pairs of opposite sides equal, so the term "parallelogram" does not apply. -
Examine for Kite
A kite has two distinct pairs of adjacent sides of equal length. Since this figure has two pairs of equal-length sides, it meets the criteria for being classified as a "kite."
The terms that describe the shape are "isosceles trapezoid," "quadrilateral," and "kite."
More Information
The identified shape is a specific type of trapezoid, characterized by its symmetry and equal side lengths. Understanding these classifications helps in distinguishing various types of quadrilaterals based on their side properties.
Tips
- Confusing Types of Quadrilaterals: A common mistake is misclassifying the shape as a parallelogram due to the visible pairs of equal lengths. To avoid this, always check for both pairs of sides being parallel and equal.
- Overlooking the Definition of Kite: Some may forget that a kite is defined by two pairs of equal adjacent sides. Ensure to check the side relationships carefully.
