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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 4.

Given that

$k$ and

$m$ are parallel, and that line

$t$ is a transversal, prove that

$ang 1$ and

$ang 6$ are supplementary.

Parallel Lines - Skew Transversal

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