(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

If both slopes are equal, then:

Correct option: F.

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.