Points, Lines, and Planes Question
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Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9
Given the parallel lines [math]k[/math] and [math]m[/math], and transversal [math]t[/math], prove that [math]ang 1 ~= ang 7[/math].

[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. ang5 ~= ang 7 [/math] | [math]3. [/math] |
[math]4. ang 1 ~= ang 7 [/math] | [math]4. "Substitution property of equality"[/math] |
- Vertical angles are congruent
- Given
- Same side interior angles are congruent
- Supplementary angles are congruent