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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><XX></p><p>X. The addition XX the XXXXXXXXXXXXX angles XX a parallelogram XX 180°.</p><p>So ∠BCD + ∠ABC = XXX°</p><p>∠BCD =XXX°-∠XXX = XXX° - 103° = <XXXXXX>XX°</strong></p><p></p><p>3. According to the law XX parallelogram, XXXXXXXX<em> sides</em> XXX equal,opposite <em>angles</em> XXX equal XXXXXX diagonals <span XXXXX="XXXXXX"><em>bisect</em></span>XXXX other; but XXXXX XXX <em>4 XXXX</em>supplementary angles.</p><p>XX the <XXXXXX>1st option is wrong </XXXXXX>XXX rest XXX<XXXXXX> three XXXXXXX are XXXXXXX answer.</XXXXXX></p><p>X.</p><p><XXXXXX>XXXXXXXXX - Reason</XXXXXX></p><p>XXXXXXXXXXXXX - XXXXX</p><p>XX II XX XXX XX XX XX - Definition of XXXXXXXXXXXXX</p><p>m∠K + m∠N =180° - XXXX-XXXX XXXXXXXX angles XXXXXXX<br></p><p>m∠X + m∠X = 180° - Same-XXXX Interior angles XXXXXXX</p><p>m∠K + m∠L=180° - XXXX-Side XXXXXXXX angles Theorem<br></p><p>m∠X+ m∠N =m∠X + m∠L - XXXXXXXXXX Property XX XXXXXXXXXX</p><p>m∠X+ m∠X =m∠K + m∠L - Transitive XXXXXXXX XX Congruence<XX></p><p>m∠N =m∠L - Subtraction Property of Equality<XX></p><p>m∠X =m∠X - Subtraction XXXXXXXX XX Equality<br></p><p>∠N ≅∠X and ∠M ≅∠K - XXXXX XXXXXXXXXX Postulate<br></p><p><XX></p><p>5. </p><p>XXX XXXXXXXXXXX of XXXXX C XXX ( <XXXXXX>a+b,</strong>c) .......................................... as <strong>X</strong>( a+b, o+c) </p><p>XXX coordinates XX XXX midpoint XX diagonal AC XXX (<strong>a+b/2</XXXXXX>, c/X) ,,,,,,,,,,, XX ( 0+a+b/X, 0+c/X)<XX></p><p>The coordinates XX XXX XXXXXXXX XX diagonal XX XXX ( a+b/X, <XXXXXX>c/X</strong>) .............as ( a+b/2, 0+c/X)<XX></p><p>AC XXX BD intersect at point E XXXX XXXXXXXXXXX( <strong>a+b/X</XXXXXX>,<b>c/2</b>) ..................midpoint XX both XX andBD at X</p>">
