Ch 5.1

Question 1

Perpendicular bisector theorem

Answer 1

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

Question 2

Perpendicular bisector converse theorem

Answer 2

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

Question 3

Distance between a point and a line

Answer 3

Length of perpendicular segment from the point to the line

Question 4

Angle bisector theorem

Answer 4

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

Question 5

Perpendicular bisector

Answer 5

A segment bisector that is perpendicular to the segmented bisects

Question 6

Angle bisector converse there

Answer 6

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 the angle

Question 7

Perpendicular bisector of a triangle

Answer 7

Segment that is part of a perpendicular bisector of one of the sides

Question 8

Angle bisectors of a triangle

Answer 8

A segment that bisects one of the angles of the triangle

Question 9

Median

Answer 9

A segment whose endpoints are a vertex and the midpoint of the opposite side

Question 10

Altitude

Answer 10

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

Question 11

Concurrent lines

Answer 11

Two sets of blinds that share the same point of intersection

Question 12

Circumcenter

Answer 12

Three perpendicular bisectors

Question 13

Incenter

Answer 13

Three angle bisectors

Question 14

Centroid

Answer 14

Three medians

Question 15

Orthocenter

Answer 15

3 altitudes

Question 16

Centroid thm

Answer 16

The centroid is 2/3 of the distance from the vertex to the midpoint of the opposite side

Question 17

Incenter thm

Answer 17

The incenter is equidistant from the 3 sides of the triangle

Question 18

Circumcenter thm

Answer 18

The circumcenter is equidistant from the three vertices of the triangle

Question 19

Mid segment

Answer 19

A segment that connects the midpoints of two sides of a triangle

Question 20

Midsegment theorem

Answer 20

The segment connecting the midpoints of two sides of a triangle

is parallel to the third side and is half its length

Question 21

If one side of a triangle is longer than another side

Answer 21

Then the angle opposite the longer side is larger then the angle opposite the shorter side

Question 22

If one angle of a triangle is larger then another angle

Answer 22

Then the side opposite the larger angle is longer than the side opposite the smaller angle

Question 23

Triangle inequality

Answer 23

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

Question 24

Hinge thm

Answer 24

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third Side of the first is longer than the third side of the second

Question 25

Converse of hinge theorem

Answer 25

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