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Ber [7]
3 years ago
13

7. Write a paragraph proof of theorem 3-8: in a plane, if two lines are perpendicular to the same line, then they are parallel t

o each other.
Mathematics
1 answer:
Monica [59]3 years ago
4 0

One <em>correct answer</em> is:

Let <em>m </em>and <em>n </em>be lines that intersect line <em>a</em>. Let <em>m</em> be perpendicular to <em>a</em>. This means that all 4 of the angles formed by the intersection of <em>m</em> and <em>a</em> are 90°.

Let <em>n</em> be perpendicular to <em>a</em>. This means that all 4 of the angles formed by the intersection of <em>n </em>and <em>a</em> are also 90°.

Since all of the angles are congruent, this means that the same-side interior angles (between lines <em>m</em> and <em>n</em>) are congruent. If two same-side interior angles are congruent, then the lines are parallel.

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