Given: AČICD and AABC - ACED Prove: slope of AĆ x siope of DC = -1
Statements
Reasons
Given
1. ACICD
AABC is similar to ACED
2.
Property of similar triangles
3. slope of AC =
- AB
Definition of slope
CD
slope of
4. slope of ĀČ x slope of CD AB x D Multiplying the slopes
5. slope of AČ x slope of CD =
E x Ee Substitution property of equality
6. slope of AC x slope of CD = -1
Simplifying the right side
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 22