Test Questions with Circles - Page 2

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$" Statement "$	$" Reason "$
$1. "Draw " bar(AD) \ & \ bar{AC}$	$1. "Two points create a line"$
$2. bar(AD) \ \ "is a diameter"$	$2. "Given"$
$3. ang ACD \ \ "is a right angle"$	$3. "Inscribed angle subtended by a diameter is a right angle"$
$4. bar(AB) \ \ "is tangent to the circle"$	$4.$
$5. bar{AB} _\|_ bar{AD}$	$5. "A tangent line is perpendicular to the diameter"$
$6. ang BAD \ \ "is a right angle"$	$6.$
$7. ang ACD ~= ang BAD$	$7. "All right angles are congruent"$
$8. ang ADC ~= ang ADB$	$8. "Reflexive property"$
$9. triangle ABD \ ~ triangle CAD$	$9. "AA"$

$" Statement "$	$" Reason "$
$1. "Draw " bar{EC}, bar{DB}, & \ bar{ED}$	$1. "Two points define a line"$
$2. m \stackrel{\frown}{EB} = m \stackrel{\frown}{DC}$	$2.$
$3. m ang EDB = 1/2 m \stackrel{\frown}{EB}$	$3. "Measure of inscribed angle is 1/2 the measure of intercepted arc"$
$4. m ang CED = 1/2 m \stackrel{\frown}{CD}$	$4. "Measure of inscribed angle is 1/2 the measure of intercepted arc"$
$5. 1/2 m \stackrel{\frown}{EB} = 1/2 m \stackrel{\frown}{DC}$	$5. "Multiplicative Property of Equality"$
$6. m ang EDB = m ang CED$	$6.$
$7. ang EDB ~= ang CED$	$7. "Definition of congruent angles"$
$8. ang EBD ~= ang ECD$	$8. "Inscribed angles intercepting the same arc are congruent"$
$9. bar{ED} ~= bar{ED}$	$9. "Reflexive Property"$
$10. triangle EBD ~= triangle DCE$	$10. "AAS"$