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Type: Multiple-Choice
Category: Points, Lines, and Planes
Standards: HSG-CO.C.9
Author: nsharp1
Created: 3 years ago

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Points, Lines, and Planes Question

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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.

 $" Statement "$ $" Reason "$ $1. k " || " m$ $1. "Given"$ $2. ang 1 ~= ang 5$ $2. "Corresponding angles are congruent"$ $3. m ang 1 = m ang 5$ $3. "Definition of congruent angles"$ $4. m ang 5 + m ang 6 = 180°$ $4.$ $5. m ang 1 + m ang 6 = 180°$ $5. "Substitution property of equality"$ $6. ang 1 " and " ang 6 " are supplementary"$ $6. "Definition of supplementary angles"$
1. Same side interior angles are supplementary
2. From the diagram
3. Linear pairs of angles are supplementary
4. Given
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