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Draw a rough figure, of a quadrilateral ...

Draw a rough figure, of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

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Determine the truth value of the following statement. A quadrilateral is a parallelogram if and only if its opposite sides are parallel.

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The measures of two adjacent angles of a parallelogram are in the ratio 3:2 . Find the measure of each of the angles of the parallelogram.

Prove that the bisectors of the opposite angles of a parallelogram are parallel.

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Find the truth values of the followings: (iii) (tit) For all parallelograms, opposite sides are equal

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

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ASHOK PUBLICATION ASSAM-Understanding Quadrilaterals.-EXAMPLE
  1. Can a quadrilateral ABCD be a parallelogram, if AB = DC = 8 cm, AD =...

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  2. Can a quadrilateral ABCD be a parallelogram, if angleA = 70^@ and an...

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  3. Draw a rough figure, of a quadrilateral that is not a parallelogram bu...

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  4. The measures of two adjacent angles of a parallelogram are in the rati...

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  5. Two adjacent angles of a parallelogram have equal measure. Find the me...

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  6. The following figures GUNS and RUNS are parallelograms. Find x and y. ...

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  7. The following figures GUNS and RUNS are parallelograms. Find x and y. ...

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  8. In the above figure both RISK and CLUE are parallelograms. Find the va...

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  9. Explain how this figure is a trapezium. Which of its two sides are par...

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  10. Find mangleC.If AB||DC.

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  11. Find the the measure of angleP and angleS if barSP||barRQ (If you fi...

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  12. State whether True or False. All rectangle are squares

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  13. State whether True or False. All rhombuses are parallelograms

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  14. State whether True or False. All squares are rhombuses and also rect...

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  15. State whether True or False. All squares are not parallelograms

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  16. State whether True or False. All kites are rhombuses

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  17. State whether True or False. All rhombuses are kites

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  18. State whether True or False. All parallelograms are trapeziums

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  19. State whether True or False. All squares are trapeziums.

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  20. Identify all the quadrilaterals that have. four sides of equal lengt...

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