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(4 points)
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 to each other.
Given: rls,1s
Prove: rl

Someone please help

Sagot :

Answer:

Step-by-step explanation:

We are given that line a and b and perpendicular to line x. By definition of perpendicular lines, lines a and b form right angles at the intersection of a and x and b and x. By definition, a right angle is equal to 90 degrees, and the sum of angle 2 and 3 is equal 180 degrees, so by the Converse of Same-Side Interior Angle Theorem, line a is parallel to line b.

Note: I don't have a drawing, but we can assume that angles 2 and 3 are same-side interior.

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