OpenStudy (anonymous):
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 6?
OpenStudy (anonymous):
? The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 6? slope of AC←→ × slope of DC←→ = ECDE×DEEC slope of AC←→ × -slope of DC←→ = 1 slope of AC←→ × slope of DC←→ = 1 slope of AC←→ × slope of DC←→ = -ECDE×DEEC Done 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
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