5.1 Exploring Parts of Triangles

Question 1

Perpendicular Bisector (of a segment)

Answer 1

Is the line that is perpendicular to a segment and bisects the segment

Question 2

Perpendicular Bisector Theorem

Answer 2

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

Question 3

Perpendicular Bisector Converse

Answer 3

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

Question 4

Distance between a point and a line

Answer 4

The length of the perpendicular segment from the point to the line

Question 5

Angle Bisector Theorem

Answer 5

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle (distance must be along a perpendicular segment)

Question 6

Angle Bisector Converse

Answer 6

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