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Which is not correct about rectangle EFG...

Which is not correct about rectangle EFGH ?

A

`angleE=angleF=angleG=angleH=90^(@)`

B

EG=FH

C

EF=GH and HE= FG

D

EG and FH are `bot` bisectors.

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AI Generated Solution

The correct Answer is:
To determine which statement is not correct about rectangle EFGH, we will analyze the properties of rectangles step by step. ### Step 1: Identify the properties of a rectangle. A rectangle has the following properties: 1. All angles are equal to 90 degrees. 2. Opposite sides are equal in length. 3. The diagonals are equal in length. 4. The diagonals are not perpendicular bisectors of each other. ### Step 2: Analyze the statements given in the question. Let's denote the angles and sides: - Angles: Angle E, Angle F, Angle G, Angle H - Sides: EF, FG, GH, EH - Diagonals: EG and FH #### Statement 1: All angles are equal to 90 degrees. - This is true for a rectangle. Therefore, this statement is correct. #### Statement 2: The diagonals are equal (EG = FH). - This is also true for a rectangle. Therefore, this statement is correct. #### Statement 3: Opposite sides are equal (EF = HG and EH = FG). - This is true for a rectangle. Therefore, this statement is correct. #### Statement 4: The diagonals are perpendicular bisectors of each other. - This statement is false. In a rectangle, the diagonals are equal but they are not perpendicular bisectors of each other. ### Conclusion: The statement that is not correct about rectangle EFGH is **Statement 4**. ### Final Answer: **Statement 4 is not correct.** ---
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MTG IIT JEE FOUNDATION-QUADRILATERALS -EXERCISE (Multiple Choice Questions) (LEVEL-1 )
  1. In the given figure, ABCD is a rectangle whose diagonals AC and BD int...

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

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  3. Which is not correct about rectangle EFGH ?

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

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

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

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

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

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

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

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

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

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  13. The two diagonals are equal in a

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  14. In figure, ABCD is a rectangle in which diagonal D AC is produced to E...

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  15. The angle between the two altitudes of a parallelogram through the ver...

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  16. The diagonals of a rectangle A B C D meet at Odot If /B O C=44^0, find...

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  17. Two parallel line l and m are intersected by a transversal p. The quad...

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  18. In figure, PQRS is an isosceles trapezium. Find x

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  19. In figure, PQRS is a rhombus in which the diagonal PR is produced to T...

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  20. In a quadrilateral STAR, if angleS= 120^@, and angleT: angleA : angle ...

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