Postulates

Question 1

Ruler Postulate

Answer 1

The points on a line can be matched with real numbers called coordinates.

Question 2

Segment Addition Postulate

Answer 2

If B is between A and C, AB+BC=AC; if AB+BC=AC, then B is between A and C.

Question 3

Protractor Postulate

Answer 3

The rays of the form of 2 points can be matched 1 to 1 with any real number 1-180. The measure of an angle is equal to the absolute value of the difference between the real numbers matched with the rays on a protractor.

Question 4

Angle Addition Postulate

Answer 4

If p is in the interior of angle RST, the measure of angle RST is equal to the sum of the measures of angle RSP and angle PST.

Question 5

Two Point Postulate

Answer 5

Through any 2 points, there is a line.

Question 6

Line-Point Postulate

Answer 6

A line contains at least 2 points

Question 7

Line intersection Postulate

Answer 7

If 2 lines intersect, then their intersection is exactly 1 point.

Question 8

Three Point Postulate

Answer 8

Through any 3 noncollinear points, there exists exactly one plane.

Question 9

Plane-Point Postulate

Answer 9

A plane contains at least 3 noncollinear points.

Question 10

Plane-Line Postulate

Answer 10

If 2 points lie on a plane, then the line contains them lines on the plane.

Question 11

Plane Intersection Postulate

Answer 11

If 2 planes intersect, then their intersection is a line.

Question 12

Reflexive Property of Segment Congruence

Answer 12

For any segment AB, segment AB is congruent to segment AB.

Question 13

Symmetric Property of Segment Congruence

Answer 13

If segment AB is congruent to segment CD, then segment CD is congruent to segment AB.

Question 14

Transitive Property of Segment Congruence

Answer 14

If segment AB is congruent to segment CD, and segment CD is congruent to segment EF, then segment AB is congruent to segment EF.

Question 15

Reflexive Property of Angle Congruence

Answer 15

For any angle A, angle A is congruent to angle A

Question 16

Symmetric Property of Angle Congruence

Answer 16

If angle A is congruent to angle B, then angle B is congruent to angle A.

Question 17

Transitive Property of Angle Congruence

Answer 17

If angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C.

Question 18

Linear Pair Postulate

Answer 18

If 2 angles form a linear pair, then they are supplementary.

Question 19

Parallel Postulate

Answer 19

If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

Question 20

Perpendicular Postulate

Answer 20

If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.