Important Questions of Quadrilaterals Mathematics | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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101. ABCD is a rhombus such that ∠ACB = 40° then ∠ADB is equal to
  • 40° 
  • 45°
  • 50°
  • 50°
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102. Choose the correct statement:
  • Diagonals of a rectangle are perpendicular to each other
  • Diagonals of a rhombus are perpendicular to each other
  • A kite is a parallelogram whose adjacent sides are equal
  • A kite is a parallelogram whose adjacent sides are equal
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 Multiple Choice QuestionsShort Answer Type

103.

P and Q are the points of trisection of the diagonal AC of a parallelogram ABCD.
Prove that BQ || DP and BD bisects PQ.

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104. ABCD is a parallelogram. P and Q are points on DC and AB respectively, such that ∠DAP = ∠BCQ. Show that AQCP is a parallelogram.


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105. O is a point inside a rhombus ABCD such that BO = DO. Prove that AO and CO are in the same straight line.
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106. ABCD is a parallelogram. If E is the mid-point of BC and AE is the bisector of ∠A, prove that  

AB equals 1 half AD.


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107. The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.  
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108. ABCD is a rectangle with ∠BAC = 42°. Determine ∠DBC.
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109. In the given figure, ABCD is a rhombus. Find ∠CDB.


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