Chapter 5 Theorems

Question 1

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment

Answer 1

Perpendicular bisector theorem

Question 2

If a point is equidistant from the endpoints of a segment, the it is on the perpendicular bisector of the segment

Answer 2

Converse of the perpendicular bisector theorem

Question 3

If a point is on the bisector of an angle then the point is equidistant from the sides or the angle

Answer 3

Angle bisector theorem

Question 4

If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector

Answer 4

Converse of the angle bisector theorem

Question 5

The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the veritices

Answer 5

Concurrency of perpendicular bisectors theorem

Question 6

If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long

Answer 6

Triangle Midsegment theorem