Chapter 6

Question 0

Theorem 6.2

Answer 0

Segment congruence is an equivalence relation

Question 1

Theorem 6.1 congruent segment bisector theorem

Answer 1

If two congruent segments are bisected, then the four resulting segments are congruent

Question 2

Theorem 6.3

Answer 2

Supplements of congruent angles are congruent

Question 3

Theorem 6.4

Answer 3

Complements of congruent angles are congruent

Question 4

Theorem 6.5

Answer 4

angle congruence is an equivalence relation

Question 5

Theorem 6.6 adjacent angles sum theorem

Answer 5

If two adjacent angles are congruent to another pair of adjacent angles, then the larger angles formed are congruent

Question 6

Theorem 6.7 adjacent angle portion theorem

Answer 6

If two angles, one in each of two pairs of adjacent angles, are congruent, and the larger angles formed are also congruent, then the other two angles are congruent

Question 6

Theorem 6.8 congruent angle bisector theorem

Answer 6

If two congruent angles are bisected, the four resulting angles are congruent

Question 7

Define congruent circles

Answer 7

Circles with congruent radii

Question 8

Define congruent polygons

Answer 8

Polygons that have three properties: 1)same number of sides 2)corresponding angles are congruent 3)corresponding angles are congruent

Question 9

Define congruent triangles

Answer 9

Triangles in which corresponding angles and corresponding sides are congruent

Question 10

Theorem 6.9

Answer 10

Triangle congruence is an equivalence relation

Question 11

Theorem 6.10

Answer 11

Circle congruence is an equivalence relation

Question 12

Theorem 6.11

Answer 12

Polygon congruence is an equivalence relation

Question 13

Define transversal

Answer 13

A line that intersects two or more distinct coplanar lines in two or more distinct point