Chapter 5

Question 0

If a segment joins the midpoint of two sides of a triangle then the segment is parallel to the third side and is half the length

Answer 0

Triangle mid segment theorem

Question 1

Segment connecting the midpoint of two sides

Answer 1

Mid segment of a triangle

Question 2

When proving mid segment theorem use coordinates, geometry, and algebra

Answer 2

Coordinate proof

Question 3

X1+x2,y1+y2
______ ______
2 2

Answer 3

Midpoint formula

Question 4

Square root of (x2 - x1) squared plus (y2 - y2) squared

Answer 4

Distance formula

Question 5

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

Answer 5

Perpendicular bisector theorem

Question 6

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

Answer 6

Converse of perpendicular bisector theorem

Question 7

If a point is on the bisector of an angle tenge point is equidistant from the sides of the angles

Answer 7

Angle bisector theorem

Question 8

If a point in the interior angle is equidistant from the sides of the angles then the point is on the angle bisector

Answer 8

Converse of angle bisector theorem

Question 9

Length of the perpendicular segment from the point to the line

Answer 9

Distance form point to line

Question 10

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

Answer 10

Theorem 5-6

Question 11

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

Answer 11

Theorem 5-7

Question 12

When three or more lines intersect at one point

Answer 12

Concurrent

Question 13

The point at which the concurrent is

Answer 13

Point of concurrency

Question 14

The point of concurrency is called this

Answer 14

Circumvented of triangle

Question 15

The medians of the triangle are concurrent at a point that is two thirds the distance from each vertex to the midpoint of the opposite side

Answer 15

Theorem 5-8

Question 16

The point of congruency of medians

Answer 16

Centroid

Question 17

Segment whose endpoints are a vertex and the midpoint of the opposite sides

Answer 17

Median of a triangle

Question 18

Perpendicular segment from a vertex to the line containing the opposite side

Answer 18

Altitude

Question 19

This of a statement has opposite truth value

Answer 19

Negation

Question 20

This of a conditional statement negates hypothesis and conclusion

Answer 20

Inverse

Question 21

This of a conditional statement switches hypothesis and conclusion and negates both

Answer 21

Contra positive

Question 22

Statements that have same truth value

Answer 22

Equivalent statements

Question 23

The three perpendicular bisectors f the sides of a triangle meet at this

Answer 23

Circumcenter

Question 24

The circle that if circles around circumcenter

Answer 24

Circumscribe

Question 25

Point at which three bisectors of the interior angles of the triangle meet

Answer 25

Incenter

Question 26

Goes around the incenter

Answer 26

Inscribed circle a.k.a incircle

Question 27

Point at which the three medians meet

Answer 27

Centroid

Question 28

Point of intersection of the altitudes of a triangle, the perpendicular lines between each vertex and the opposite side

Answer 28

Orthocenter