Flashcards in Chapter 5 Deck (25):

1

## a line segment that oins the midpoints of 2 sides of a triangle

### midsegment

2

## a midsegment of a triangle is parallel to the third side of the triangle and its length is equal to half the length of the third side

### midsegment theorem

3

## placing geometric figures in a coordinate plane to prove something

### coordinate proof

4

## a segment, ray, or line that is perpendicular to a given segment at its midpoint

### perpendicular bisector

5

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

### perpendicular bisector theorem

6

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

### converse of the perpendicular bisector theorem

7

## when 3 lines, rays, or segments meet at the same point

### concurrent

8

## the point of intersection of lines, rays, or segments

### point of concurrency

9

## the per. bisectors of atriangle intersect at a point that is equidistant from the vertices of a triangle

### concurrency of perpendicular bisectors of a triangle

10

## the point hwere the 3 perp. bisectors of a triangle meet

### circumcenter

11

## since the circumcenter is equidistant from all 3 vertices, it is the center of a circle that contains all 3 vertices of a triangle called

### circumcircle

12

## ray that divides an angle into two congruent adjacent angles

### angle bisector

13

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

### angle bisector theorem

14

## the length of a perp. segment drawn from the point to the line

### the distance from a point to a line

15

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

### converse of the angle bisector theorem

16

## the angle bisectors of a triangle meet at a point that is equidistant from the sides of the triangle

### concurrency of the angle bisector of a triangle

17

## point of concurrency of angle bisectors of a triangle

### incenter

18

## circle that has a radius equal to the distance from the incenter to the sides of the triangle

### incircle

19

## the segment joining a vertex and the midpoint of the opposite side

### median

20

## the point of concurrency of the medians of a triangle

### centroid

21

## balancing point of a triangle

### centroid

22

## the centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side

### concurrency of the medians of a triangle

23

## perp. segment from a vertex to the opposite side

### altitude

24

## height of the triangle

### orthocenter

25