The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 6? A) slope of AC x slope of DC= EC/DC x DC/EC
B) slope of AC x -slope of DC=1
C) slope of AC x slope of DC=1
D) slope of AC x slope of DC=-EC/DC x DC/EC
Statement
1.AC←→⊥CD←→ (view diagram) ΔABC is similar to ΔCED.
2.(This statement is intentionally left blank.)
3.ABBC = ECDE
4.slope of AC←→ = -ABBC slope of DC←→ = DEAC
5.slope of AC←→ × slope of DC←→ = -ABBC×DEEC
6.?
7.slope of AC←→ × slope of DC←→ = -1 simplifying the right side
Reason
1.given
2.property of similar triangles
3.property of proportion
4.definition of slope
5.multiplying the slopes
6.Substitution Property of Equality
7.simplifying the right side