Identify the Special Quadrilateral: Analyzing a Kite's Properties

Question

Indicate the correct answer

The next quadrilateral is:

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Video Solution

Solution Steps

00:00 Is the quadrilateral a kite?
00:03 2 pairs of adjacent sides are equal
00:08 A quadrilateral with 2 pairs of equal adjacent sides is a kite
00:12 And this is the solution to the question

Step-by-Step Solution

To determine the type of quadrilateral depicted, let us analyze its geometric properties.

  • Firstly, assess the side lengths: The shape appears to have two pairs of equal adjacent sides, which is a defining characteristic of a deltoid (kite).
  • Secondly, check the nature of angles: Every interior angle in the quadrilateral is less than 180 degrees, indicating that the shape is convex.
  • Finally, confirm the symmetrical quality: The symmetry of the shape suggests that it aligns with the properties of a convex deltoid, also known as a kite.

In conclusion, by confirming these properties, we identify the quadrilateral as a Convex deltoid.

Thus, the correct answer is: Convex deltoid.

Answer

Convex deltoid