Chapter 5.1: Parts of Triangles

Question 1

Perpendicular Bisector

Answer 1

the line that is perpendicular to the segment at its midpoint.

Question 2

Thm. 5.1 - Perpendicular Bisector thm.

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

Thm. 5.2 - 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

Thm. 5.3 - Angle Bisector thm.

Answer 4

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

Question 5

Thm. 5.4 - Angle Bisector Converse

Answer 5

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

Question 6

The distance between a point and a line…

Answer 6

is the length of the perpendicular segment from the point to the line.