Use the proof diagram to complete the question. State the missing reason in this proof for the letter given.
1 answer:
Answer:
See below.
Step-by-step explanation:
We know that and we want to prove that
.
Statements Reasons
1) Given
2) A) Vertical Angles Are Congruent
3) B) Substitution Property
4) C) Alternate Interior Angles Converse*
*We know that alternate interior angles are congruent when two parallel lines are cut by a transversal. So, the converse states that if the two alternate interior angles are congruent, the the two lines must be parallel.
Further Notes:
I'm not sure why they did more than necessary. Since , they are corresponding angles. Then by the Corresponding Angles Converse, p must be parallel to r.
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The above system is equivalent to the following equation:
Of course, the above system has solution for any values of b since there is one equation and four variable, there is infinite number of solution each time.