To construct a kite, which of the following is necessary?

Options

A. Two adjacent unequal sides and included diagonal
B. Two adjacent equal sides and included diagonal
C. Length of opposite sides
D. None of these

Answer

To construct a kite, we need specific information about its sides and angles. A kite is defined as a quadrilateral with two pairs of adjacent sides that are equal. Here’s how we can determine what is necessary for constructing a kite:

### Step-by-Step Solution:

1. **Understanding the Kite Structure**:
A kite has two pairs of equal adjacent sides. Let's denote the kite as ABCD, where AB = AD and BC = CD.

2. **Identifying the Necessary Elements**:
To construct a kite, we need:
- Two adjacent equal sides (let's say AB and AD).
- The diagonal that connects the two unequal sides (let's say AC).

3. **Selecting the Right Parameters**:
If we are given:
- Two adjacent unequal sides (AB and AD).
- The included diagonal (AC).
We can construct the kite.

4. **Construction Process**:
- Start by drawing one of the unequal sides (AB).
- Then, draw the second unequal side (AD) such that it is equal to the first side.
- Next, draw the diagonal (AC) connecting points A and C.
- Finally, complete the kite by drawing the remaining sides (BC and CD) to ensure they are equal.

5. **Conclusion**:
Therefore, the necessary condition to construct a kite is having two adjacent unequal sides and the included diagonal.

### Final Answer:
The correct answer is option one: two adjacent unequal sides and the included diagonal.