Chapter 5

Question 0

Perpendicular bisector converse

Answer 0

If a point is equidistant from the end points of a segment than it lies on the perp bisector of the segment

Question 1

Perpendicular bisector Thm

Answer 1

If a point is on the perpendicular bisector of a segment then it is equidistant from the endpoints of its segments

Question 2

Angle bisector Thm

Answer 2

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

Question 3

Angle bisector converse

Answer 3

If the point is on the interior of the angle and equidistant from the sides of the angle then it lies on the bisector of the angle

Question 4

Distant between a point and a line

Answer 4

Is the length if the perp seg from the point of the line

Question 5

Perpendicular bisector

Answer 5

A segment that is part of a perp bis of one of the sides

Question 6

Angle bisector of a triangle

Answer 6

A segment that bisects one of the angles of the triangle

Question 7

Median

Answer 7

A segment who’s endpoints are a vertex and the midpoint of the opposite side

Question 8

Altitude

Answer 8

A segment from a vertex that is perpendicular to the opposite side or to the line containing the opposit side

*an altitude may lie outside or inside of a triangle

Question 9

Concurrent

Answer 9

A set of lines that a single point of intersection

Question 10

Circumcenter

Answer 10

A common point of the triangle o the perp bisector

*the circumvented is equidistant from the three vertices of a triangle

Question 11

Incenter

Answer 11

Angle bisectors common point in a triangle

*the in center is equidistant from the three sides of the triangle

Question 12

Centroid

Answer 12

The medians common point of a triangle

*the centriod is 2/3 the distance from the vertex to the midpoint of he opposite side

Question 13

Orthocenter

Answer 13

Altitudes common point of a triangle

*no thms

Question 14

The lines containing the perp bisector of a triangle are

Answer 14

Concurrent

Question 15

The concurrent lines common point is the

Answer 15

Circumcenter of a triangle

Question 16

The circumcenter is ———– from the vertices

Answer 16

Equidistant

Question 17

The angle bisectors of a triangle are

Answer 17

Concurrent

Question 18

The Incenter is ———- from the triangles three sides

Answer 18

Equidistant

Question 19

The medians of a triangle are

Answer 19

Concurrent

Question 20

Common point =

Answer 20

Centroid

Question 21

Theorem 5.8

Answer 21

If one angle I a triangle is larger than another angle, Jen the opposite side the larger angle is longer then the side opposite the smaller angle

Question 22

Centroid is —/— each vertex the the ———- of the opposite side

Answer 22

2/3

Midpoint

Question 23

The lines containing he altitudes are

Answer 23

Concurrent

Question 24

Perpendicular bisector of a triangle

Answer 24

A segment that is part of a perpendicular bisectors of one of the sides

Question 25

Common point =

Answer 25

Orthocenter

Question 26

Midsegment

Answer 26

The segment thy connects the midpoints of two sides of a triangle

Question 27

Midsegment theorem

Answer 27

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half it’s length

Question 28

Theorem 5.7

Answer 28

If one side of a triangle is longer than the other side, then the angle opposite the longer side is larger than the angle opposite I he shorter side

Question 29

Hinge theorem

Answer 29

If two sides one triangle are congruent to two sides of a second triangle, an the included angle of the first triangle is larger than the included angle of the second, than the included angle of the first is larger than the included angle of the second

Question 30

Converse of the hinge theorem

Answer 30

If two sides of one triangle are congruent to another triangle, ad the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included able if the secondhand

Question 31

Triangle inequality theorem 5.9

Answer 31

The sum of the lengths of any two sides of a triangle is greater the. The length of the third side