Identify the Special Quadrilateral: Analysis of ABCD with Right Angles

Indicate the correct answer

The next quadrilateral is:

To solve this problem, we need to identify whether the depicted quadrilateral is a convex deltoid, a concave deltoid, or not a deltoid.

• Step 1: Identify key features of a deltoid:
  A deltoid, or kite, has two distinct pairs of adjacent equal sides. A convex deltoid will have all interior angles less than 180°, while a concave deltoid has at least one angle greater than 180°.
• Step 2: Examine the quadrilateral's properties:
  Visually assess the shape to determine if it fits the deltoid definitions. Here, the quadrilateral seems to match the structure of a kite, as there are two pairs of adjacent sides that appear equal. Furthermore, all the interior angles seem to be less than 180°, indicating that it is a convex shape.
• Step 3: Final determination:
  Given that the quadrilateral appears to meet the criteria of a convex deltoid with no angles exceeding 180°, we can conclude that the correct answer for the quadrilateral is "Convex deltoid."

Therefore, the depicted quadrilateral is a Convex deltoid.