Chapter 5

Question 1

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long as that side

Answer 1

Midsegment therom

Question 2

Placing geometric figures in a coordinate plane and using algebra to prove things

Answer 2

Coordinate proof

Question 3

A segment Ray line or plane that is perpendicular to a segment at its midpoint

Answer 3

Perpendicular bisector

Question 4

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

Answer 4

perpendicular bisector therom

Question 5

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

Answer 5

converse of the perpendicular bisector therom

Question 6

when three or more lines rays or segments intersect in the same point they are ____

Answer 6

concurrent

Question 7

the point of intersection of 3 lines rays or segments is called the _____

Answer 7

point of concurrency

Question 8

the point of concurrency of the three perpendicular bisectors of a triangle is called the _____ and is _______ from the three vertices

Answer 8

circumcenter, equidistant

Question 9

a point where two or more straight lines meet

a. singular____
b. plural______

Answer 9

a. vertex

b. vertices

Question 10

a ray that divides an angle into two congruent adjecent angles

Answer 10

angle bisector

Question 11

distance from a point to a line

Answer 11

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

Question 12

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

Answer 12

angle bisector therom

Question 13

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

Answer 13

converse of the angle bisector theorem

Question 14

the angle bisectors of a triangle intersect at a point _____ that is equidistant from the sides of the triangle

Answer 14

incenter

Question 15

a segment from a vertex to the midpoint of the opposite side

Answer 15

median

Question 16

the medians of a triangle intersect at a point___ that is two thirds of the distance of each median

Answer 16

centroid

Question 17

the perpendicular segment___ from a vertex to the opposite side or to the line that contains the opposite side

Answer 17

altitude

Question 18

the point___ at which the lines containing the three altitudes of a triangle intersect

Answer 18

Orthocenter

Question 19

A segment that connects the midpoints of two sides of a triangle.

Answer 19

Midsegment