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.
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.
| [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] |
- Same side interior angles are supplementary
- From the diagram
- Linear pairs of angles are supplementary
- Given
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