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Maths Assignment Class VIII | Quadrilateral Ch-11
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Math Assignment Class VIII
Understanding Quadrilateral
Understanding Quadrilateral
chapter - 11, class - 8
Question 1
(i) Two adjacent angles of a parallelogram are (5x + 65)o and (85 – 2x)o. Find the measure of each angle of a parallelogram.
(ii) Two adjacent angles of a parallelogram are of measure (4x + 2)o and (3x - 4)o. Find the measure of each angle of the parallelogram.
(iii) Two adjacent angles of a parallelogram are in the ratio 1 : 2. Find all the angles of parallelogram.
Question 2 A pair of adjacent sides of a rectangle is in the ratio of 5 : 12. If the length of the diagonal is 26 cm. Find the lengths of sides and perimeter of the rectangle.
Question 3ABCD is a rectangle in which DP and BQ are perpendiculars from D and B respectively on diagonal AC. Show that :
(i) △ADP ≅ △CBQ
(ii) ∠ADP = ∠CBQ
(iii) DP = BQ
Question 4
In the given figure ABCD is a parallelogram. If ∠DAB=
75o and ∠DBC= 60o, Calculate ∠CDB and ∠ADB
Question 16
ABCD is a rhombus and its
diagonals intersect at O.
(i) Is △BOC ≌ △DOC ? State the congruence condition used.
(ii) Also state, if ∠BCO = ∠DCO
Question 17
In the given figure the exterior angle ABX of parallelogram ABCD is 70o and O is the mid point of diagonal BD, Find ∠BAD and ∠ADC. Also find the length of diagonal AB, when OC = 3 cm.
Question 18
In given figure, ABCD is a rectangle and diagonals intersect at O. If ∠AOB = 108o, find
(i) ∠ABO (ii) ∠ADO (iii) ∠OCB
Question 19
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