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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

Concurrency

Three or more lines that meet at a point