Relationships Within Triangles

In a plane, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. 

• Median 
• Centroid
• Perpendicular Bisector Theorem 
• Hinge Theorem

If a point lies on the bisector of an angle, then it is equidistant from the two sides of the angle.

• Perpendicular Bisector Theorem
• Angle Bisector Theorem
• Hinge Theorem
• Altitude

Find SU

• 4
• 2
• 5
• 6

Find the equation of the perpendicular bisector of AB.

• y = 2x-2
• y = -1/2x + 1/2
• y = -2x + 1/2
• y = 5 

Find BD 

• 65
• 14
• 11
• 4

When three or more lines, rays, or segments intersect in the same point, they are called _______________ lines, rays, or segments.

• Concurrent
• Incenter
• Intersecting
• Perpendicular

In a triangle, the three perpendicular bisectors are concurrent. The point of concurrency is the _____________ of the triangle.

• Circumcenter
• Incenter
• Median
• Centroid

The circumcenter of a triangle is equidistant from the vertices of the triangle.

• Centroid Theorem
• Circumcenter Theorem
• Perpendicular Bisector Theorem
• Hinge Theorem

The incenter of a triangle is equidistant from the ________ of the triangle.

• Sides
• Center
• Vertices

Find PS.

• 7
• 8
• 9
• 16