Question

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

Answer 1

1.
is similar to .
given
2. property of similar triangles
3. = property of proportion
4. slope of =
slope of = definition of slope
5. slope of × slope of = multiplying the slopes
6. (This statement is intentionally left blank.) Substitution Property of Equality
7. slope of × slope of = -1 simplifying the right side

Answer 2

couldnt get all of it but tried my best

Answer 3

a screenshot is best because we can see the full problem (even the missing symbols)

Answer 4

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

sorry here it is

Answer 6

well step 3 has AB*BC = EC*DE, or so it seems

the step before that would be some proportion and cross multiplying would lead to step 3

Answer 7

does that make sense?

Answer 8

not really but u can explain it in detail. mabye ill get it

Answer 9

let's say you had

a/b = c/d

Answer 10

if you cross multiplied, you'd get a*d = b*c

agreed?

Answer 11

yea

Answer 12

so what proportion could be set up to lead to AB*BC = EC*DE ?

Answer 13

they seem to look like this but in fraction AB/BC;. something like that.

Answer 14

AB/DE, and EC/DE

Answer 15

more like AB/EC = DE/BC. There are other possibilities