Similarly,
So, PSQR is a parallelogram.
EXERCISE 8.1
1. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the
2. If the diagonals of a parallelogram are equal, then show that it is a rectangle.
3. Show that if the diagonals of a quadrilateral bisect each other at right angles, then
4. Show that the diagonals of a square are equal and bisect each other at right angles
5. Show that if the diagonals of a quadrilateral are equal and bisect each other at rigi
D
quadrilateral.
is a rhombus.
angles, then it is a square.
6. Diagonal AC of a parallelogram ABCD bisects
ZA(see Fig. 8.19). Show that
(1) it bisects < C also,
(*) ABCD is a rhombus.
A A
B
7. ABCD is a rhombus. Show that diagonal AC
bisects Z A as well as Z C and diagonal BD
bisects ZB as well as Z D.
Fig. 8.19
8. ABCD is a rectangle in which diagonal AC bisects Z A as well as Z C. Show the
(i) ABCD is a square (ii) diagonal BD bisects ZB as well as Z D.
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itna bara question hai pura book hi copy paste kar diye ho kya
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