Chapter 5 voc.

Question 1

The point at which they intersect

Answer 1

Point of concurrency

Question 2

The point of concurrency of the perpendicular bisectors of a triangle is called the _____________

Answer 2

Circumcenter of a triangle

Question 3

Something you say p.301

Answer 3

Circumscribed about

Question 4

The point of concurrency of the angle bisectors of a triangle is called the ______

Answer 4

Incenter of a triangle

Question 5

Is a length of the perpendicular segment from the point to a line

Answer 5

Distance from a point to a line

Question 6

In _________ all possibilities are considered and then all but one are proved false

Answer 6

Indirect reasoning

Question 7

Is a segment whose end points are a vertex and the midpoint of the opposite side

Answer 7

Median of a triangle

Question 8

The point of concurrency of the medians is the __________

Answer 8

Centroid of a triangle

Question 9

Is the perpendicular segment from a vertex of the triangle to the line containing the opposite sides

Answer 9

Altitude of a triangle

Question 10

A proof involving indirect reasoning is an _______ ________

Answer 10

Indirect proof

Question 11

Where three or more lines intersect at one point

Answer 11

Concurrent

Question 12

The center of the the circle that is _______ ____ the triangle

Answer 12

Inscribed in

Question 12

The lines that contain the altitudes of a triangle are concurrent at the ________

Answer 12

Orthocenter of a triangle

Question 13

A segment connecting the midpoints of two sides of the triangle

Answer 13

Mid segment of a triangle

Question 14

The medians of a triangle are concurrent at a point that is 2/3 the distance from each vertex to the midpoint f the opposite side

Answer 14

Theorem 5-8 concurrency of medians theorem

Question 15

A point is ________ from two objects if it is the same distance from the objects

Answer 15

Equidistant

Question 17

If a point is equidistant from the endpoint of a segment, the. It is on the perpendicular bisector of the segment

Answer 17

Theorem 5-3 converse of the perpendicular bisector theorem

Question 18

If a point is on he bisector of an angle, then the point is equidistant from the sides of the angle

Answer 18

Theorem 5-4 angle bisector theorem

Question 19

If a point in the interior of a. Angle is equidistant from the sides of the angle, then the point is on the angle bisector

Answer 19

Theorem 5-5 converse of the angle bisector theorem.

Question 20

The lines that contain the altitudes of a triangle are congruent

Answer 20

Theorem 5-9 concurrency of altitudes theorem

Question 21

The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices

Answer 21

Theorem 5-6 concurrency of perpendicular bisectors theorem

Question 22

If two sides of atria gale are not congruent, then the larger angle lies opposite the longer side

Answer 22

Theorem 5-10

Question 23

If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle

Answer 23

Theorem 5-11

Question 24

If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle

Answer 24

Theorem 5-13 the hinge theorem (SAS inequality theorem)

Question 25

If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long

Answer 25

Theorem 5-1 triangle mid segment theorem

Question 29

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

Answer 29

Theorem 5-12 triangle inequality theorem

Question 32

If a points on the perpendicular bisector of a segment, the I it is equidistant from the end points of the segment

Answer 32

Theorem 5-2 perpendicular Bisector theorem

Question 33

The bisectors of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle

Answer 33

Theorem 5-7 concurrency of angle bisectors theorem