Check my answer in bold.
which statement corrects the flaw in gina's proof?
select one:
a. the slope of segments de and ac is not 0.
b. segments de and ac are parallel by construction.
c. the coordinates of d and e were found using the midpoint formula.
d. the coordinates of d and e were found using the slope formula.

Solution:

Option (C) is true , which corrects the flaw in Gina's proof.

Which is The coordinates of D and E were found using the Midpoint Formula.

As we have to prove line segment joining the mid point of two sides of triangle is parallel to third side.

Gina has proved this by considering a triangle ABC having coordinates A(0,0),.

We got the mid point of Segment AB which is D by using Mid point formula and mid point of segment  BC which is E using Mid point formula.

Mid point formula for line joining two points  

Rest part is correctly done by Gina.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.