Quadrilateral Classification: Identify the Geometric Shape ABCD

Question

Indicate the correct answer

The next quadrilateral is:

AAABBBCCCDDD

Video Solution

Solution Steps

00:00 Is the quadrilateral a kite?
00:03 We don't know anything about any sides
00:10 Therefore we cannot know if it's a kite or not
00:14 And this is the solution to the question

Step-by-Step Solution

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 180180^{\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.

Answer

Not deltoid