57:14
Determine the missing information in the paragraph proof.
Given: Lines a and c intersect at point S, creating 4 angles.
Prove: Corresponding angles are congruent.
We are given that lines a and c intersect at point S.
Translate line a down line c until point S reaches point Q.
Call the new line through Q line b. Because translations
preserve orientation, lines a and bare
Because
translations preserve angle measure, ZRSUZRQU'. For
the same reason, ZRST ZRQT, ZPSU ZPQU', and
PST ~ ZPQT. Each of the angle pairs are corresponding
angles. Therefore, corresponding angles are congruent.
ST
10
parallel
perpendicular
congruent
reflected
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