Question

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

Answer 1

@Zale101 can you help me plzz

Answer 2

@perl

Answer 3

where is the table, please take screenshot or pic of it

Answer 4

Statement Reason
1. AC←→⊥CD←→ (view diagram)
ΔABC is similar to ΔCED. given
2. (This statement is intentionally left blank.) property of similar triangles
3. ABBC = ECDE property of proportion
4. slope of AC←→ = -ABBC
slope of DC←→ = DEAC definition of slope
5. slope of AC←→ × slope of DC←→ = -ABBC×DEEC multiplying the slopes
6. Substitution Property of Equality
7. slope of AC←→ × slope of DC←→ = -1 simplifying the right side

Answer 5

The answer is D.