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Parallelograms Quiz
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parallelogram <em>bisect</em></span>each other.<br></p><p>So AE = CE</p><p>x^2 - 8 =<strong></strong> 2x<br></p><p>x^2 - 2x - 8 = 0<br></p><p>(x-4)(x+2)=0</p><p>x = 4 or x=-2( invalid due to -ve sign)</p><p>AE = 2CE = 2*2x = 2*2*4 = <strong>16</strong></p><p><br></p><p>2. XXX XXXXXXXX XX the XXXXXXXXXXXXX XXXXXX XX a parallelogram XX 180°.</p><p>XX ∠BCD + ∠XXX = XXX°</p><p>∠XXX =180°-∠ABC = 180° - 103° = <strong>XX°</XXXXXX></p><p></p><p>X. According to XXX law of parallelogram, opposite<em> XXXXX</em> are XXXXX,opposite <em>XXXXXX</em> XXX XXXXX XXXXXX diagonals <span XXXXX="XXXXXX"><em>XXXXXX</em></span>each XXXXX; XXX there are <em>X sets</em>supplementary angles.</p><p>So the <XXXXXX>1st XXXXXX is XXXXX </XXXXXX>and XXXX all<XXXXXX> XXXXX options are Correct XXXXXX.</strong></p><p>X.</p><p><XXXXXX>Statement - Reason</strong></p><p>XXXXXXXXXXXXX - XXXXX</p><p>KL XX XX XXX XX II XX - XXXXXXXXXX XX parallelogram</p><p>m∠X + m∠N =XXX° - XXXX-Side XXXXXXXX XXXXXX XXXXXXX<XX></p><p>m∠L + m∠X = XXX° - Same-Side Interior XXXXXX XXXXXXX</p><p>m∠X + m∠X=XXX° - Same-XXXX Interior angles Theorem<br></p><p>m∠X+ m∠N =m∠X + m∠X - XXXXXXXXXX Property XX Congruence</p><p>m∠L+ m∠X =m∠X + m∠L - XXXXXXXXXX XXXXXXXX of Congruence<br></p><p>m∠N =m∠L - XXXXXXXXXXX Property XX Equality<br></p><p>m∠M =m∠K - XXXXXXXXXXX XXXXXXXX XX Equality<XX></p><p>∠N ≅∠L and ∠M ≅∠X - XXXXX Congruence XXXXXXXXX<XX></p><p><br></p><p>X. </p><p>XXX XXXXXXXXXXX of point C XXX ( <strong>a+b,</strong>c) .......................................... XX <XXXXXX>X</strong>( a+b, o+c) </p><p>XXX XXXXXXXXXXX of the midpoint XX XXXXXXXX XX XXX (<XXXXXX>a+b/X</strong>, c/2) ,,,,,,,,,,, as ( 0+a+b/X, X+c/X)<XX></p><p>XXX XXXXXXXXXXX of XXX midpoint of diagonal BD are ( a+b/X, <strong>c/2</strong>) .............XX ( a+b/X, 0+c/2)<XX></p><p>AC and BD XXXXXXXXX at XXXXX X XXXX XXXXXXXXXXX( <strong>a+b/2</strong>,<b>c/2</b>) ..................midpoint of both XX XXXXX at E</p>">
