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82.
In the figure, ABCD is a parallelogram. Given that OD = 5 cm and AC is 2 cm less than BD. Find OA.

∵ Diagonals of a parallelogram bisect each other

∴                                       OD = OB = 5 cm
or                                      OB = 5 cm
or    BD = 5 cm x 2 = 10 cm

∵ AC =BD - 2 cm
∴ AC = (10 - 2) cm = 8 cm

or $space space space space 1 over 8 AC space equals space 1 half space cross times space 8 space cm space equals space 4 space cm$

or OA = 4 cm

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83.

Given a parallelogram ABCD. Complete each statement along with the definition or property used.

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84.

Can a quadrilateral ABCD be a parallelogram if

(i) $space space space angle straight D plus angle straight B space equals space 180 degree$ ?

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85.

Solve: 2(3x+1) -5x = $7 over 2 minus 2 left parenthesis 2 x plus 7 right parenthesis$ $7 over 2 minus 2 left parenthesis 2 x plus 7 right parenthesis$

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86.

space space space space angle straight A space equals 70 degree space and space angle straight C space equals 65 degree ?

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87.

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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88.

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

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89.

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

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90.

The interior angle of a regular is 108°. Find the number of sides of the polygon.

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Understanding Quadrilaterals

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82.
In the figure, ABCD is a parallelogram. Given that OD = 5 cm and AC is 2 cm less than BD. Find OA.

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

82. In the figure, ABCD is a parallelogram. Given that OD = 5 cm and AC is 2 cm less than BD. Find OA.

82.
In the figure, ABCD is a parallelogram. Given that OD = 5 cm and AC is 2 cm less than BD. Find OA.