Point P is the incenter. Which must be true?

The correct option is 2.

Step-by-step explanation:

Incenter of a triangle is the intersection point of all bisectors. The length of the perpendiculars form the incenter to all sides, are equal.

According to the given information P is incenter of the triangle.

The lines PA,PB,PC are perpendicular form the incenter to the all sides. So if we draw a circle insides the triangle with center P and radius PA, then PB and PC represent the radius of the circle.

Since these line segments are equal therefore we can say that

Option 2 is correct.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)