Flashcards in Chapter Five Deck (29):

1

## Concurrency of perpendicular bisectors of a triangle

### The perpendicular bisectors of a triangle intersect at a point that is equidistant from the verticies of the triangle

2

## Converse of the perpendicular bisectors theorem

### In a plane If a point is equidistant from the end points of a segment, then it is on the perpendicular bisector

3

## Perpendicular bisector theorem

### In a plane if a point is on the perpendicular bisector of a segment the it is equidistant from the end points of the segment

4

## Mid segment theorem

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

5

## Angle bisector theorem

### If a point is on the bisector of an angle then it is equidistant from the two sides of the angle (the ones at 90)

6

## Converse of the angle bisector

### 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 an angle

7

## Concurrency of angle bisectors of a triangle

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

(Three lines with the 90 degrees)

8

## Concurrency of medians of a triangle

### The medians of a triangle intersect at a point that is 2/3 of the distant from each vertex to the midpoint of the opposite side

9

## Concurrency of altitudes of a triangle

### The lines connecting the altitudes of a triangle are concurrent

10

## Altitude

### A perpendicular line segment connecting a side to its opposite vertex

11

## Centroid

### The point where all three medians intersect

12

## Circumcenter

### The point where all perpendicular bisectors intersect

13

## Incenter

### The point where all angle bisectors intersect

14

## Median

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

15

## Orthocenter

### The point where all three altitudes intersect

16

## Perpendicular bisector

### A line that is perpendicular to a segment at its midpoint

17

## Point of concurrency

### The point where lines intersect

18

## Vertex

### A point that joins two sides of a triangle

19

## Bisect

### To divide into two congruent parts

20

## Angle bisector

### A day that divides an angle into two angles that are congruent

21

## Is the circumcenter equidistant from all vertices

### Yes

22

## Does a perpendicular bisector cuts through the midpoint of a segment

### Yes

23

## Does a median cut through the midpoint of a segment

### Yes

24

## Is a point on an angle bisector equidistant from two sides of the triangle

### Yes

25

## Is t possible for a median altitude perpendicular bisector and an angle bisector to be all represented by the same line in a triangle

### Yes

26

## Can any point of concurrency ever meet outside a triangle

### No

27

## Is the centroid 2/3 distance from the vertex of the median

### Yes

28

## Can altitudes from a vertex meet the opposite side at an angle other than 90

### No

29