Question

Helppppp 15P!!

Answer 1

Answer:

First Drop: Proportional

Second Drop: cf

Third Drop: [I think] Segment Addition Postulate

Step-by-step explanation:

I just looked through several websites with the same question. I have come to a conclusion that these are perhaps correct. (I'm taking the test right now)

Answer 2

Answer:

1. Proportional.

2. ce

3. Segment Addition Postulate.

Step-by-step explanation:

By the angle-angle similarity postulate, △YXZ∼△YZQ and △YXZ∼△ZXQ.

The corresponding sides of two similar triangles are proportional.

Since similar triangles have  proportional sides, therefore

$\frac{a}{c}=\frac{f}{a}$ and $\frac{b}{c}=\frac{e}{b}$

Solving the equation for a² and b² gives

$a^2=cf$ and $b^2=ce$

The value of a² is cf and the value b² is ce.

Adding these together gives

$a^2+b^2=cf+ce$

Factoring out the common segment gives

$a^2+b^2=c(f+e)$

From the given figure it is clear that

$c=f+e$         (Segment Addition Postulate)

Using segment Addition Postulate, we get

$a^2+b^2=c(c)$

On simplification, we get

$a^2+b^2=c^2$

Therefore the required answers are 1. Proportional, 2. ce, 3. Segment Addition Postulate.