Reason Statement
1. AABC is similar to ACED.
given
2. ABEBE
3. ABEBE
definition of slope
4. slope of AC = AB
definition of slope
slope of
DC = BE
5. slope of ÁČ x slope of DC = Expe multiplying the slopes
6. slope of AC * slope of
DC EC DE
Substitution Property of Equality
7. slope of AČ x slope of DC =-1 simplifying the right side
=- DEXEC
The table contains the proof of the relationship between the slopes of two perpendicular lines. What is the reason for statement 2?
O A.
Parallel line segments that meet a common perpendicular line are proportional in length.
ОВ.
The lengths of vertical and horizontal sides in congruent triangles are in a common ratio.
OC.
Trigonometric identities determine the lengths of the legs in a right triangle.
OD.
Corresponding side lengths in similar triangles are proportional in length.