1. AABC is similar to ACED. given
2. AB = BE
definition of slope
4. slope of AĆ=
slope of
DC
>
-AB
definition of slope
BE
5. slope of AĆ x slope of
DC = AEXBE multiplying the slopes
6. slope of AC * slope of DC =-EEXEE Substitution Property of Equality
7. slope of AĆ x 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 27
O A. Parallelline 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.
OC. Trigonometric identities determine the lengths of the legs in a right triangle.
OD. Corresponding side lengths in milar triangles are proportional in length
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