What are the properties of perpendicular bisectors and angle bisectors in a triangle?

Theory

Step-by-step explanation:

The Perpendicular Bisectors in a triangle,(as the name suggests) perpendicularly bisect the sides of triangle

The point at where all 3 meet is called the Circumcenter

The distance of the Circumcenter from any vertex is same and is equal to circumradius(R)

If a circle is drawn with Circumcenter as center and R as radius, it circumscribes the triangle

The Angle Bisectors in a triangle, are dropped from the vertex to the opposite side.(as the name suggests) It bisects the angle at the vertex of the triangle.

The point at where all 3 meet is called The Incenter

The distance of the Incenter from any of the sides is same and is equal to Inradius(r)

If a circle is drawn with Incenter as center and r as radius,it inscribes the triangle

The angle bisector divides the side it intersects in the ratio of the ratio of other 2 sides

what do u need to know

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )