Area of a Deltoid (Kite)

To solve the exercise, we first need to know the formula for calculating the area of a kite:

It's also important to know that a concave kite, like the one in the question, has one of its diagonals outside the shape, but it's still its diagonal.

Let's now substitute the data from the question into the formula:

(6*5)/2=
30/2=
15

To solve this problem, let's examine the properties of the given quadrilateral:

• Step 1: Identify if the quadrilateral has any interior angles greater than $180^\circ$.
• Step 2: Verify if the quadrilateral has two pairs of contiguous equal-length sides, which would qualify it as a deltoid (kite).
• Step 3: Determine whether the shape is concave or convex based on the angles and diagonal layout.

Analysis: In the provided diagram, the quadrilateral has a vertex that forms an interconnecting internal angle greater than $180^\circ$, showing that it's a concave shape. The sides $AB = BC$ and $CD = DA$ suggest two pairs of contiguous equal sides.

Based on the properties identified:

• One angle exceeds $180^\circ$, indicating a concave form.
• It has two sets of adjacent sides that are equal, confirming it as a deltoid.

Therefore, the shape shown in the illustration matches the properties of a concave deltoid.

The correct answer is thus Concave deltoid.

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.

To analyze the problem, we need to establish whether the depicted quadrilateral is a deltoid. A deltoid is identified by having two pairs of adjacent sides that are equal, often forming a kite-like shape. Additionally, the diagonals of a deltoid typically intersect perpendicularly.

The diagram in question showcases a quadrilateral with its vertices and intersecting diagonals, but lacks explicit numerical information or any markings to indicate congruent sides, angles, or diagonal characteristics.

Given the absence of solid evidence or measurements, it's impossible to definitively classify the quadrilateral as a convex deltoid or a concave deltoid. No information allows confirmation of the foundational properties of a deltoid, such as side lengths or diagonal intersections.

Therefore, within the scope of the image and instructions, the correct conclusion is that it is not possible to prove if it is a deltoid or not.

Hence, the correct answer is: It is not possible to prove if it is a deltoid or not.

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.