Which terms describe this shape? Choose all that apply.

Question image

Understand the Problem

The question is asking to identify which terms apply to a specific geometric shape displayed in the image. The answer options given include various classifications of quadrilaterals.

Answer

The shape can be classified as a quadrilateral, isosceles trapezoid, and kite.
Answer for screen readers

The terms that describe the shape are:

  • Quadrilateral
  • Isosceles Trapezoid
  • Kite

Steps to Solve

  1. Identify the Shape The shape in the image appears to be a trapezoid. It has at least one pair of parallel sides, which is a characteristic of trapezoids.

  2. Classify as Quadrilateral Since it has four sides, the shape is a quadrilateral. All quadrilaterals have four sides, thus this term applies.

  3. Determine if it’s an Isosceles Trapezoid An isosceles trapezoid has non-parallel sides that are equal in length. If the shape has equal-length sides (which can be inferred from the markings), it qualifies as an isosceles trapezoid.

  4. Check for Kite Properties A kite has two pairs of adjacent sides that are equal. This shape, if it meets this criterion, could also be classified as a kite.

  5. Evaluate Rectangle Properties A rectangle requires that opposite sides are equal and all angles are right angles. Given the shape appears to have non-right angles based on its appearance, it does not qualify as a rectangle.

The terms that describe the shape are:

  • Quadrilateral
  • Isosceles Trapezoid
  • Kite

More Information

This shape qualifies as a quadrilateral because it has four sides. It is also an isosceles trapezoid if the non-parallel sides are equal. A kite classification applies if two pairs of adjacent sides are equal. However, it does not meet the criteria for a rectangle.

Tips

  • Confusing trapezoids with parallelograms: Remember that a trapezoid has at least one pair of parallel sides, not necessarily two.
  • Misidentifying the conditions for a kite or isosceles trapezoid by forgetting to check side lengths.
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