Given:
The triangles EFG and PQR are given.
To find: The correct answer
Step-by-step explanation:
a) An angle bisector:
As we know,
An angle bisector is a line or ray that divides an angle into two congruent angles.
Here, The line FJ is the angle bisector for angle F.
Thus, the angle bisector is line FJ.
b) Perpendicular bisector:
As we know,
A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point.
Here, the line SL bisects another line segment PQ at a right angle, through the intersection point S.
Thus, the perpendicular bisector is SL.
c) A point is equidistant from the line segment FE and EG:
The point that is equidistant to all sides of a triangle is called the incenter.
Here, H is the point that is equidistant from the line segment FE and EG.
Thus, the point is H only.
d) A point is equidistant from the points P and Q:
The point that is equidistant to all vertices of a triangle is called the circumcenter.
Here, L is the point that is equidistant from the points P and Q.
Thus, the point is L only.