Only the reasons need be given here, as the statements are already given in your figure.
Given
Given
Given
Definition of congruent line segments
Symmetric property of congruence
Addition and substitution properties of equality*
Segment addition theorem
Definition of congruent line segments
AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Around 90% of the time, you'll get joke answers or answers from bots. Even if I report their answers, they will report my question back? Even though their answers are completely irrelevant to my questions? Also, your moderators are probably 12 years olds, because why? THEY. DELETE. EVERY. CORRECT. ANSWER. I. MADE. Not to mention, that there are a bunch of other users that started grouping and bullied me with vulgar words. Disgusting. Is this what your moderating has become, Huh? Brainly? IS THIS WHAT YOU CALL A PEACEFUL FRIENDLY WEBSITE FOR EVERYONE? Shame on you, I will not use this website again, until you fix your moderation "ENTIRELY".
Negative+positive=positive
The reciprocal of a fraction is only a whole number when
the numerator of the original fraction is ' 1 ' or a factor of
the denominator (original fraction is not in simplest form).
Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)
The reciprocal of a fraction is just the same fraction
turned upside down.
-- The reciprocal of 1/5 is 5/1 or just 5 .
(Original numerator is ' 1 '.)
-- The reciprocal of 5/25 is 25/5 or just 5 .
(Original fraction is not in simplest form.)
-- The reciprocal of 5/7 is 7/5 , or 1 and 2/5 .