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What is the difference between a parallelogram and a kite?

Important Questions on Understanding Quadrilaterals

EASY

In Figure, BDEF and DCEF are each a parallelogram. Is it true that BD=DC?

Why or why not?

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ABCD is a parallelogram in which A=110°. Find the measure of each of the angles B, C and D.

EASY
The diagonals do not necessarily intersect at right angles in a 
EASY

Given a parallelogram ABCD. Complete the statement along with the definition or property used.

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 AD= _____________

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Write ‘T’ for true and ‘F’ for false of each of the following:

i. The diagonals of a parallelogram are equal.

 

ii. The diagonals of a rectangle are perpendicular to each other.

 

iii. The diagonals of a rhombus bisect each other at right angles.

 

iv. Every rhombus is a kite.

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Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

EASY

In Figure, ABCD and AEFGare parallelograms. If C=55o, what is the measure of F?

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If one angle of a parallelogram is 24° less than twice the smallest angle, then the largest angle of the parallelogram is
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Two opposite angles of a parallelogram are (3x-2) and (50-x). The measures of all of its angles are
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If an angle of a parallelogram is two-thirds of its adjacent angle, the smallest angle of the parallelogram is 
EASY
Can a quadrilateral ABCD be a parallelogram, if: D+B=180°?
 
HARD
The bisectors of two adjacent angles of a parallelogram intersect at
MEDIUM

The sum of two opposite angles of a parallelogram is 130°. Find the measure of each of its angles.

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ABC is a right-angled triangle and O is the mid-point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you.)
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HARD
The bisectors of any two adjacent angles of a parallelogram intersect at
MEDIUM

Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of each of its angles.

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Diagonals of a quadrilateral ABCD bisect each other. If A=35°, then B is equal to
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Two adjacent angles of a parallelogram are (2x+25)° and (3x-5)°. The value of x is 
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Two adjacent angles of a parallelogram are (3x-4)° and (3x+16)°. Find the value of x and hence find the measure of each of its angles.

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Two adjacent angles of a parallelogram are the ratio 2:3. Find the measure of each of its angles.