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Type: Multiple-Choice
Category: Points, Lines, and Planes
Level: Grade 10
Standards: HSG-CO.C.9
Author: nsharp1
Created: 6 years ago

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Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

Choose the correct missing reason from step 7.

Given the parallel lines

$k$ and

$m$ , and transversal

$t$ , prove that

$ang 3 ~= ang 5$ .

Parallel Lines - Skew Transversal

$" Statement "$	$" Reason "$
$1. m ang 2 + m ang 3 = 180°$	$1. "Linear pairs of angels are supplementary"$
$2. m ang 5 + m ang 6 = 180°$	$2. "Linear pairs of angles are supplementary"$
$3. m ang 5 + m ang 6 = m ang 2 + m ang 3$	$3. "Substitution property of equality"$
$4. k " \|\| " m$	$4. "Given"$
$5. ang 6 ~= ang 2$	$5. "Corresponding angles are congruent"$
$6. m ang 6 = m ang 2$	$6. "Definition of congruent angles"$
$7. m ang 5 + m ang 6 = m ang 6 + m ang 3$	$7. \ \ \ \$
$8. m ang 5 = m ang 3$	$8. "Subtraction property of equality"$
$9. ang 5 ~= ang 3$	$9. "Definition of congruent angles"$