Chapter 6: Q13. (page 205)
For the following conditional statement, classify the statement as true or false.
If and , then .
Short Answer
The conditional statement “If and then ” is false.
Chapter 6: Q13. (page 205)
For the following conditional statement, classify the statement as true or false.
If and , then .
The conditional statement “If and then ” is false.
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Get started for freeFor each statement in Ex 5-10 copy and complete a table like the one shown below.
If , then .
Write an indirect proof in paragraph form.
Given:
Prove: doesn't bisect
Write an indirect proof in paragraph form.
Given: n is an integer and is odd.
Prove: n is odd.
Prove that if two lines are perpendicular to the same plane, then the lines do not intersect.
Write the letters (a)-(d) in an order that completes an indirect proof of the statement: Through a point outside a line, there is at most one line perpendicular to the given line.
Given: Point P not on the line k.
Prove: There is at most one line through P perpendicular to k.
(a) But this contradicts corollary3 of theorem 3-11: In a triangle, there can be at most one right angle or obtuse angle.
(b) Then and are right angles, and has two right angles.
(c) Thus, our temporary assumption is false, and there is at most one line through P perpendicular to k.
(d) Assume temporarily that there are two lines through P perpendicular to k at A, B.
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