Tenth Grade (Grade 10) Geometry and Measurement Questions

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$" Statement "$	$" Reason "$
$1. m ang 1 + m ang 2 = 180°$	$1. "Linear pairs of angels are supplementary"$
$2. m ang 4 + m ang 1 = 180°$	$2. "Linear pairs of angles are supplementary"$
$3. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$	$3. "Substitution property of equality"$
$4. m ang 2 = m ang 4$	$4. "Subtraction property of equality"$
$5. ang 2 ~= ang 4$	$5. "Definition of congruent angles"$

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. bar{AB}$ \|\| $bar{CD}$	$1. "Given"$
$2. ang ABD ~= ang CDB$	$2. "Alternate interior angles are congruent"$
$3. bar{BC}$ \|\| $bar{AD}$	$3. "Given"$
$4. ang ADB ~= ang CBD$	$4. "Alternate interior angles are congruent"$
$5. bar{BD} ~= bar{BD}$	$5. "Reflexive Property"$
$6.$	$6. "Angle-Side-Angle Postulate"$
$7. bar{AB} ~= bar{CD}$	$7. "Corresponding sides of congruent triangles are congruent"$

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Tenth Grade (Grade 10) Geometry and Measurement Questions