Chapter 5 Flashcards Preview

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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

point of concurrency of altitudes of a triangle

orthocenter