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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>2. XXX XXXXXXXX of XXX XXXXXXXXXXXXX angles XX a XXXXXXXXXXXXX is XXX°.</p><p>So ∠XXX + ∠XXX = XXX°</p><p>∠BCD =180°-∠ABC = 180° - XXX° = <strong>77°</strong></p><p></p><p>3. XXXXXXXXX to XXX XXX XX XXXXXXXXXXXXX, opposite<em> XXXXX</em> are equal,opposite <em>angles</em> XXX equal XXXXXX diagonals <span XXXXX="XXXXXX"><em>XXXXXX</em></span>each XXXXX; but there are <em>X XXXX</em>supplementary XXXXXX.</p><p>XX XXX <strong>1st XXXXXX XX XXXXX </strong>and rest all<XXXXXX> XXXXX XXXXXXX XXX XXXXXXX answer.</XXXXXX></p><p>4.</p><p><XXXXXX>Statement - XXXXXX</strong></p><p>XXXXXXXXXXXXX - XXXXX</p><p>KL XX XX and KN II XX - Definition of XXXXXXXXXXXXX</p><p>m∠K + m∠N =180° - Same-XXXX XXXXXXXX angles XXXXXXX<XX></p><p>m∠X + m∠M = XXX° - XXXX-Side XXXXXXXX angles XXXXXXX</p><p>m∠X + m∠X=XXX° - Same-Side Interior angles XXXXXXX<XX></p><p>m∠K+ m∠N =m∠X + m∠X - Transitive Property XX Congruence</p><p>m∠X+ m∠M =m∠K + m∠L - Transitive XXXXXXXX of Congruence<XX></p><p>m∠N =m∠L - Subtraction XXXXXXXX XX Equality<br></p><p>m∠X =m∠X - XXXXXXXXXXX XXXXXXXX XX Equality<br></p><p>∠N ≅∠X XXX ∠M ≅∠X - Angle XXXXXXXXXX Postulate<XX></p><p><br></p><p>X. </p><p>The XXXXXXXXXXX XX XXXXX C are ( <XXXXXX>a+b,</XXXXXX>c) .......................................... as <strong>X</strong>( a+b, o+c) </p><p>The XXXXXXXXXXX of XXX XXXXXXXX of XXXXXXXX AC XXX (<strong>a+b/X</strong>, c/2) ,,,,,,,,,,, as ( X+a+b/X, X+c/2)<br></p><p>XXX coordinates of the XXXXXXXX of diagonal BD are ( a+b/X, <strong>c/2</XXXXXX>) .............XX ( a+b/X, 0+c/X)<XX></p><p>AC and XX intersect XX XXXXX X XXXX coordinates( <XXXXXX>a+b/2</strong>,<b>c/X</b>) ..................XXXXXXXX XX both AC andBD XX E</p>">
