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If in a quadrilateral, two adjacent side...

If in a quadrilateral, two adjacent sides are equal and the opposite sides are unequal, then it is called a

A

parallelogram

B

square

C

rectangle

D

kite

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The correct Answer is:
To solve the question, we need to analyze the properties of the quadrilateral described in the problem. ### Step-by-Step Solution: 1. **Understanding the Given Information**: We have a quadrilateral where two adjacent sides are equal, and the opposite sides are unequal. Let's denote the quadrilateral as ABCD, where AB = AD (the two adjacent sides). 2. **Identifying the Properties**: In this quadrilateral: - AB = AD (two adjacent sides are equal) - BC ≠ CD (the opposite sides are unequal) 3. **Analyzing the Options**: We need to determine which type of quadrilateral fits this description. The options are: - Parallelogram - Square - Rectangle - Kite 4. **Checking Each Option**: - **Parallelogram**: In a parallelogram, opposite sides are equal. Since we have opposite sides that are unequal, it cannot be a parallelogram. - **Square**: A square has all sides equal and opposite sides equal. Since we have unequal opposite sides, it cannot be a square. - **Rectangle**: A rectangle also has opposite sides equal. Again, since we have unequal opposite sides, it cannot be a rectangle. - **Kite**: A kite has two pairs of adjacent sides that are equal, and it does not require the opposite sides to be equal. This matches our description perfectly. 5. **Conclusion**: Therefore, the quadrilateral described in the question is called a **kite**.
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MTG IIT JEE FOUNDATION-QUADRILATERALS -EXERCISE (Multiple Choice Questions) (LEVEL-1 )
  1. In a parallelogram ABCD, angleA = 115 degree. The measure of angle D i...

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  2. In the given figure, ABCD is a square. The measure of angleDBC is equa...

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  3. If in a quadrilateral, two adjacent sides are equal and the opposite s...

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  4. The angles of a quadrilateral are r^(@), (x - 10)^(@), (x + 30)^(@) an...

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  5. Which of the following statements is true ?

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  6. In the given figure, the measure of ZC is equal to angleC

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  7. In the given figure, if ABCD is a square, and OX = OC the value of x ...

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  8. In the following figure, ABCD and AEFG are two parallelograms. If angl...

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  9. In the given figure, ABCD is a rectangle whose diagonals AC and BD int...

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  10. In the given figure, ABCD is a rhombus. If angleA=70^(@), then angleCD...

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  11. Which is not correct about rectangle EFGH ?

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  12. In a parallelogram ABCD, if angleA = 80^(@) then ZB is equal to

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  13. Two adjacent angles of a parallelogram are in the ratio 2 : 3. The ang...

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  14. PQRS is a square. PR and SQ intersect at O. State the measure of /POQ.

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  15. In a quadrilateral ABCD, angleA + angleC = 180^(@), then angleB + angl...

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  16. In a parallelogram ABCD diagonals AC and BD intersect at O and AC =12....

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  17. One of the diagonals of a rhombus is equal to a side of the rhombus. T...

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  18. Two adjacent angles of a parallelogram are (2x + 25)^(@) and (3x - 5)^...

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  19. The quadrilateral formed by joining the mid-points of the side for qu...

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  20. In a square ABCD, AB = (2x + 3) cm and BC = (3x - 5) cm . Then, the va...

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