Postulates

Question 1

Segment Addition Postulate

Answer 1

If B is between A and C, the AB + BC = AC.

Question 2

Angle Addition Postulate

Answer 2

If point B lies in the interiror of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of AOC.

Question 3

5

Answer 3

A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane.

Question 4

6

Answer 4

Through any two points there is exactly one line.

Question 5

7

Answer 5

Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane.

Question 6

8

Answer 6

If two points are in a plane, then the line that contains the points is in that plane.

Question 7

9

Answer 7

If two planes intersect, then their intersection is a line.

Question 8

10

Answer 8

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Question 9

11

Answer 9

if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

Question 10

SSS

Answer 10

if three sides of one triangles are congruent to three sides of another triangle, then the triangles are congruent.

Question 11

SAS

Answer 11

if two sides and the included angle of one triangle to two side and an included angle of another triangle, then the triangles are congruent.

Question 12

ASA

Answer 12

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.