CBSE Class 9 Maths Angle Relations in Parallelogram
- if the diagonals of a parallelogram are equal then show that it is a rectangle
- If an angle of a parallelogram is two thirds of its adjacent angle find the angle of a parallelogram .
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In the figure ABCD is a parallelogram in which
DAB = 80o and
DBC = 60o. Calculate
CDB and
ADB.
- Find the measure of each angle of a parallelogram, if one of its angles is 30o less than twice the smallest angle.
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In the given figure, PN and RM are perpendiculars to the diagonal QS of a parallelogram PQRS. Prove that
PNS
RMQ and PN = RM.
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ABCD is a parallelogram in which X and Y are the mid points of AB and DC respectively. If AY and DX intersect in P while CX and BY intersect in Q, show that quadrilateral PXQY is a parallelogram.
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LMNO is a parallelogram. Compute the values of x and y.
- Characterize the following statements a TRUE or FALSE and give reason for your answer. If a pair of adjacent sides of a parallelogram is equal, it must be a rhombus or a square.
- In a parallelogram ABCD, prove that the sum of any two consecutive angles is 180o.
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In a
ABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.