Question

PLZ HELP ASAP 15 POINTS!!!

Answer 1

Answer:

A. (AB/BC)=(CE/ED)

Step-by-step explanation:

Property of similar triangles :

If two triangles are similar then the corresponding sides are in same proportion,

Here, $\triangle ABC\sim \triangle CED$

By the above property,

$\frac{AB}{BC}=\frac{CE}{ED}$

Hence, the column prove would be,

            Statements                      Reason

1. AC ⊥ CD

Δ ABC is similar to ΔCED                         Given

2. (AB/BC)=(CE/ED)                          Property of similar triangle

3. Slope of AC = -AB/BC                    Definition of slope

Slope of CD = ED/CE

4. Slope of AC  × Slope of CD           Multiplying the slopes

= -AB/BC × ED/CE

5. Slope of AC  × Slope of CD           Substitution property of equality

= -CE/ED × ED/CE

6. Slope of AC  × Slope of CD = -1   Simplifying the right side.

Hence, option 'A' is correct.

Answer 2

Answer:

A.(AB/BC)=(CE/ED)

Step-by-step explanation:

Properties of Similar Triangles  states two things

Corresponding angles are congruent (same measure)

Corresponding sides are all in the same proportion

That means AB/ BC = CE/ED