Question

sentence.
the coordinates of point c are (a + b, c).
ad = bc = \sqrt{b^2 + c^2}
ab = dc =
the slope of \overline{ad} and \overline{bc} is
the slope of ab and dc is
by the definition of congruence, \overline{ad} \cong \overline{bc} and

Explanation:

Step1: Calculate AB length

AB is between (0,0) and (a,0): $AB = |a - 0| = a$

Step2: Calculate DC length

DC is between (b,c) and (a+b,c): $DC = |(a+b) - b| = a$

Step3: Slope of AD

AD connects (0,0) and (b,c): slope = $\frac{c - 0}{b - 0} = \frac{c}{b}$

Step4: Slope of AB

AB is horizontal: slope = $\frac{0 - 0}{a - 0} = 0$

Answer:

$a$
$\frac{c}{b}$
$0$