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A quadrilateral whose adjacent sides are...

A quadrilateral whose adjacent sides are equal with only 1 pair of opposite angles equal is known as a

A

Kite

B

rectangle

C

Rhombus

D

parallelogram

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to identify the type of quadrilateral described: a quadrilateral with adjacent sides that are equal and only one pair of opposite angles that are equal. ### Step-by-Step Solution: 1. **Understanding the Properties of Quadrilaterals**: - A quadrilateral is a four-sided figure. - We need to focus on the properties of the sides and angles. 2. **Identifying the Side Properties**: - The question states that the adjacent sides are equal. This means that if we label the quadrilateral as ABCD, then AB = AD and BC = CD (where AB and AD are adjacent sides). 3. **Analyzing the Angle Properties**: - The question also states that there is only one pair of opposite angles that are equal. This means that if angle A is equal to angle C (∠A = ∠C), then angle B and angle D are not necessarily equal. 4. **Drawing the Figure**: - To visualize this, we can draw a quadrilateral with the properties mentioned. - When we draw it, we can see that it resembles a kite shape, where two pairs of adjacent sides are equal. 5. **Identifying the Shape**: - The figure we have drawn satisfies the properties of a kite. In a kite, two pairs of adjacent sides are equal, and it has one pair of opposite angles that are equal. 6. **Conclusion**: - Therefore, the quadrilateral whose adjacent sides are equal with only one pair of opposite angles equal is known as a **kite**. ### Final Answer: A quadrilateral whose adjacent sides are equal with only one pair of opposite angles equal is known as a **kite**.
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