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Type: Multiple-Choice
Category: Points, Lines, and Planes
Level: Grade 10
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 [math]k[/math] and [math]m[/math] are parallel, and that line [math]t[/math] is a transversal, prove that [math]ang 1[/math] and [math] ang 6[/math] are supplementary.

Parallel Lines - Skew Transversal

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