Statement Reason
1. AABC is similar to ACED.
given
AB BC
2. ECE DE
definition of slope
definition of slope
3. BE = EE
4. slope of AC =-AB
DC = BE
slope of
5. slope of AC x slobe of DC=AB multiplying the slopes
6. slope of ĀČ x slope of D¿=-exee Substitution Property of Equality
7. slope of AC *slope of DC=-1 simplifying the right side
The table contains the proof of the relationship between the slopes of two perpendicular lines. What is the reason for statement 2?
OA.
Parallel line segments that meet a common perpendicular line are proportional in length.
OB.
The lengths of vertical and horizontal sides in congruent triangles are in a common ratio.
Ос.
Trigonometric identities determine the lengths of the legs in a right triangle
OD. Corresponding side lengths in similar triangles are proportional in length.