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The diagonals of a rectangle are of equa...

The diagonals of a rectangle are of equal length.

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Given ABCD is a rectangle,then AC and BD are diagonals,then in triangle ABC and BCD,
angle b is common angle
BC is common side
AB = CD
so by SAS congruency,
triangle ABC is congruent to BCD
so by cpct,AC = BD
so diagonals are equal
hence proved.
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RD SHARMA-QUADRILATERALS-All Questions
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  2. Each of the angles of a square is a right angle and each of the four ...

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  3. The diagonals of a rectangle are of equal length.

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  4. If the diagonals of a quadrilateral bisect each other, then the qua...

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  5. A quadrilateral is parallelogram if its opposite angles are equal.

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  6. A quadrilateral is a parallelogram if its opposite sides are equal.

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  7. In Figure, A B C D is a parallelogram in which /A=60^0 . If the bisect...

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  8. In figure, Show that if the diagonals of a quadrilateral are equal and...

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  9. Show that the diagonals of a square are equal and bisect each other at...

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  10. Show that if the diagonals of a quadrilateral bisect each other at r...

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  11. A quadrilateral is a parallelogram, if its one pair of opposite sides ...

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  12. In Figure, A B C D is a parallelogram and X ,Y are the mid=points of s...

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  13. In a triangle A B C median A D is produced to X such that A D=D Xdot P...

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  14. In Figure, P Q R S is a parallelogram, P O and Q O are, respectively, ...

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  15. The diagonals of a parallelogram A B C D intersect at OdotA line throu...

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  16. In Figure, A B C D is a parallelogram and /D A B=60^0dot If the bisect...

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  17. In a parallelogram A B C D , the bisector of /A also bisects B C at Xd...

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  18. A B C D is a parallelogram. L and M are points on A B and D C respecti...

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  19. P Q R S is a parallelogram. P X and QY are respectively, the perpendic...

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  20. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

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