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Quadrilaterals ...

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  • Question 1
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    A quadrilateral has three acute angles, each measuring $$75^o$$. Find the measure of the fourth angle.

  • Question 2
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    $$X, Y$$ are mid-points of opposite sides $$AB$$ and $$DC$$ of a parallelogram $$ABCD. AY$$ and $$DX$$ are joined intersecting in P; $$CX$$ and $$BY$$ are joined intersecting in Q. What is $$PXQY$$?

  • Question 3
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    In quadrilateral $$ABCD$$, if $$\angle A = 60^{\circ}$$ and $$\angle B : \angle C : \angle D = 2 : 3 : 7$$, then find $$\angle D$$.

  • Question 4
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    The diagonals of a parallelogram $$ABCD$$ intersect at $$O$$. A line through O intersect AB at X and DC at Y. Identify the correct option

  • Question 5
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    In a quadrilateral $$ABCD$$, the angles $$\angle A, \angle B, \angle C$$ and $$\angle D$$ are in the ratio $$2 : 3 : 4 : 6$$. Find the measure of each angle of the quadrilateral.

  • Question 6
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    Which of the following group is true for quadrilateral $$ ABCD$$?

    (1) $$ABCD$$ is a Rhombus(a) $$\overline { AC } $$ and $$\overline { BD } $$ bisect each other.
    (2) $$ABCD$$ is a Parallelogram(b) $$\overline { AC } $$ and $$\overline { BD } $$ bisect each other at an right angle.
    (3) $$ABCD$$ is Rectangle(c) $$\overline { AC } $$ and $$\overline { BD } $$ are congruent and bisect each other at an right angle.
    (4) $$ABCD$$ is Square(d) $$\overline { AC } $$ and $$\overline { BD } $$ are congruent and bisect each other.

  • Question 7
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    The angles of a quadrilateral are in the ratio $$3:5:9:13$$. Then angles of the quadrilateral respectively are ___________.

  • Question 8
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    In a quadrilateral, the angles are $$x^{\circ}, (x + 10)^{\circ}, (x + 20)^{\circ}, (x + 30)^{\circ}$$. Find the value of $$x$$.

  • Question 9
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    The sum of pairs of opposite angles of a cyclic quadrilateral is:

  • Question 10
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    Match the following.

    (1)Rectangle(p) A quadrilateral having its opposite sides equal and parallel.
    (2)Square(q)A parallelogram having its opposite sides equal and each of the angle is a right angle.
    (3)Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.
    (4)Rhombus(s)A quadrilateral in which a pair of opposite sides are parallel.
    (5)Trapezium(t)A parallelogram having all sides equal.

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