Test Questions with Polygons - Page 6

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$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. bar{AB}$ \|\| $bar{CD}$	$1. "Given"$
$2. ang ABD ~= ang CDB$	$2. "Alternate interior angles are congruent"$
$3. bar{BC}$ \|\| $bar{AD}$	$3. "Given"$
$4. ang ADB ~= ang CBD$	$4. "Alternate interior angles are congruent"$
$5. m ang ABD = m ang CDB, \ \ m ang ADB = m ang CBD$	$5. "Definition congruent angles"$
$6. m ang ABD + m ang ADB + m ang BAD = 180°,$ $\ \ \ \ \ \ \ \ \ m ang CDB + m ang DCB + m ang CBD = 180°$	$6. "Sum of angles in a triangle is 180°"$
$7. m ang CDB + m ang DCB + m ang CBD =$ $\ \ \ \ \ \ \ \ \ \ m ang ABD + m ang ADB + m ang BAD$	$7. "Substitution Property of Equality"$
$8. m ang DCB = m ang BAD$	$8. ""$
$9. ang BAD ~=ang DCB$	$9. "Definition of congruent angles"$

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. ABCD " is a rectangle"$	$1. "Given"$
$2. bar{AB} ~= bar{CD}$	$2. "Opposite sides of a rectangle are congruent"$
$3. ang ABC, ang BCD " are right angles"$	$3. "Interior angles of rectangles are all right angles"$
$4.$	$4. "All right angles are congruent"$
$5. bar{BC} ~= bar{BC}$	$5. "Reflexive Property"$
$6. Delta ABC ~= Delta DCB$	$6. "Side-Angle-Side Postulate"$
$7. bar{AC} ~= bar{BD}$	$7. "Corresponding sides of congruent triangles are congruent"$