If <1 is congruent to <2 then finish the proof that m<1=m<5. I don't think the angles need to be shown because all I have to do is choose the reason that best fits the statement.(I...

If <1 is congruent to <2 then finish the proof that m<1=m<5. I don't think the angles need to be shown because all I have to do is choose the reason that best fits the statement.(I know the statements are true)

Statements:                       Reasons:

1.<1 `cong`  <2     1.____ I think this is "given"

2.<2 `cong`  <5       2.____ I think this is "Vertical Angles Congruence Theorem"

3.<1 `cong`  <5       3._____ I think this is "Transitive Property of Angle Congruence"

4. m<1 =m<5   4._____ I think this is "Definition of congruent angles".

 

 

5.`sqrt(x^2)` = the absolute value of x. Is this true?

Thank you for your help, I really appreciate it!

Asked on by novjb

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ishpiro | College Teacher | (Level 1) Educator

Posted on

Yes, the reasons for statements 1 - 4 are correct. (Assuming angles 2 and 5 are in fact vertical. This is the only place where one needs the image.)

Statement 5 is also correct: `sqrt(x^2) = |x|` . This is true.

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