Quadrilateral Classification: Identify the Geometric Shape ABCD

Indicate the correct answer

The next quadrilateral is:

To solve this problem, let's analyze the given quadrilateral ABCD by examining its geometric properties:

• Step 1: Identifying characteristics of a deltoid
  A deltoid, or kite, is a quadrilateral that has two distinct pairs of adjacent sides that are equal. To classify a shape as a deltoid, we need to verify these properties.
• Step 2: Examining the quadrilateral ABCD
  The deltoid can be either concave or convex. If the shape is concave, it will have an indentation, meaning at least one angle is greater than $180^{\circ}$. A convex deltoid does not have such an indentation.
• Step 3: Analyze the sides of ABCD
  Looking at the segments from the given points:
  - Verify if pairs of adjacent sides are equal.
  If we cannot find two equal pairs of adjacent sides, the quadrilateral is not a deltoid.
• Step 4: Drawing conclusions
  Having analyzed the sides of the quadrilateral, if none of the pairs of adjacent sides conform to the deltoid property as outlined—two pairs of equal adjacent sides—then ABCD is identified as not a deltoid.

Therefore, the correct answer is: Not deltoid.