Chapter 5

Question 0

Perpendicular bisector converse

Answer 0

If a point is equidistant from the end points if a segment, then it lies on the perpendicular bisector of the segment

Question 1

Perpendicular bisector theorem

Answer 1

Of a point is on the perpendicular bisector of a segment, then it is equidistant from the end pts of the segment

Question 2

Angle bisector theorem

Answer 2

If a point is on the bisector of an angle, the. It is equidistant from the two sides of the angle

Question 3

Angle bisector converse

Answer 3

If a point is in the interior of an angle and equidistant from the two sides of an angle, then It lies on the bisector of the angle

Question 4

Median of a triangle

Answer 4

Segment whose end pts are a vertex and the midpt of the opposite side

Question 5

Common point of angle bisector a of triangle

Answer 5

Incenter

Question 6

Common point of perpendicular bisectors of triangle

Answer 6

Circumcenter

Question 7

Common point of medians of triangle

Answer 7

Centroid

Question 8

Common point if altitudes of triangle

Answer 8

Orthodontist

Question 9

Mid segment

Answer 9

Segment that connects the midpoints of two sides of a triangle

Question 10

Mid segment theorem

Answer 10

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

Question 11

If on side of a triangle is longer than another side…

Answer 11

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

Question 12

If one angle of a triangle is larger than another angle..

Answer 12

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

Question 13

Triangle inequality theorem

Answer 13

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

Question 14

Hinge theorem

Answer 14

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 15

Converse of the hinge theorem

Answer 15

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 than the included angle of the second