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In a parallelogram `square`ABCD, If ∠A = (3x + 12)°, ∠B = (2x - 32)° then find the value of x and then find the measures of ∠C and ∠D.
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On a graph paper, plot the points A(2, 3), B(6,-1) and C(0, 5). If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.
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Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone.
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Write a converse of the following statement.
The alternate angles formed by two parallel lines and their transversal are congruent.
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Write a converse of the following statement.
If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.
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Write a converse of the following statement.
The diagonals of a rectangle are congruent.
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Write the following statement in 'if-then' form.
The opposite angles of a parallelogram are congruent.
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Write the following statement in 'if-then' form.
The diagonals of a rectangle are congruent.
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Write the following statement in 'if-then' form.
In an isosceles triangle, the segment joining the vertex and the mid point of the base is perpendicular to the base.
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Write the following statement in conditional form.
Every rhombus is a square.
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Write the following statement in conditional form.
Angles in a linear pair are supplementary.
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Write the following statement in conditional form.
A triangle is a figure formed by three segments.
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Write the following statement in conditional form.
A number having only two divisors is called a prime number.
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Write the converse of the following statement.
If the sum of measures of angles in a figure is 180°, then the figure is a triangle.
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Write the converse of the following statement.
If the sum of measures of two angles is 90° then they are complement of each other.
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Write the converse of the following statement.
If the corresponding angles formed by a transversal of two lines are congruent then the two lines are parallel.
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Write the converse of the following statement.
If the sum of the digits of a number is divisible by 3 then the number is divisible by 3.
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Diagonals of a parallelogram `square`WXYZ intersect each other at point O. If ∠XYZ = 135° then what is the measure of ∠XWZ and ∠YZW?
If l(OY)= 5 cm then l(WY)= ?
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In the given figure, y = 108° and x = 71° Are the lines m and n parallel? Justify.
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In the figure, ray AE || ray BD, ray AF is the bisector of ∠EAB and ray BC is the bisector of ∠ABD. Prove that line AF || line BC.
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