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A square was defined as a rectangle with...

A square was defined as a rectangle with all sides equal. Can we define it as rhombus with equal angles? Explore this idea.

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Prove that the area of an equilateral triangle with sides equal to the sides of a square is half the area of the equilateral triangle with sides equal to țhe length of the diagonals of the square.

Can a trapezium have all angles equal? Can it have all sides equal? Explain.

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angle triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squarea of its diagonals.

If one angle of a triangle is equal to one angle of another triangle and the bisectors of these equal angles divide the opposite side in the same ratio then show that the triangle are similar.

prove by using the principle of similar triangles that: in a right angle triangle, the square on the hypotenuse is equal to the sum of squares on the two other sides. (Pythagoras theorem)

Prove that in a right traiangle, the square of the hypotemuse is equal to the sum of the squares of the other two sides.

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

Area of a rectangle is equal to the area of a square of length 12 decametre. If the length of the rectangle is 24 decametre then find its breadth.

Identify all the quadrilaterals that have. four sides of equal length

ASHOK PUBLICATION ASSAM-Understanding Quadrilaterals.-EXAMPLE
  1. Explain how a square is. a parallelogram

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  2. Explain how a square is. a rhombus

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  3. Explain how a square is. a rectangle

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  4. Name the quadrilaterals whose diagonals. bisect each other

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  5. Name the quadrilaterals whose diagonals. are perpendicular bisectors...

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  6. Name the quadrilaterals whose diagonals. are equal

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  7. Explain why a rectangle is a convex quadrilateral.

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  8. ABC is a right-angled triangle and O is the mid point of the side oppo...

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  9. Take any quadrilateral, say ABCD , Divide it into two triangles, by dr...

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  10. Take four congruent card-board copies of any quadrilateral ABCD, with ...

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  11. Take four congruent card-board copies of any quadrilateral ABCD, with ...

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  12. Consider a concave quadrilateral ABCD, Split it into two triangles and...

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  13. Take a regular hexagon. What is the sum of the measures of its exter...

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  14. Take a regular hexagon. Is x=y=z=p=q=r where x,y,z,p,q,r are exterio...

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  15. What is the measure of each exterior angle?

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  16. What is the measure of each interior angle?

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

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  18. A mason has made a concrete slab. He needs it to be rectangular. In wh...

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  19. A square was defined as a rectangle with all sides equal. Can we defin...

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  20. Can a trapezium have all angles equal? Can it have all sides equal? Ex...

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