Geometry: Ch. 1 Theorems

Question 0

Postulate 1-2

Line Intersection Postulate

Answer 0

If two lines intersect, then they intersect in exactly one point.

Question 1

Postulate 1-1

Point Line Postulate

Answer 1

Through any two points there is exactly one line

Question 2

Postulate 1-3

Plane Intersection Postulate

Answer 2

If two planes intersect, then they intersect in exactly one line.

Question 3

Postulate 1-4

Noncollinear Points Postulate

Answer 3

Through any three noncollinear points there is exactly one plane.

Question 4

Ruler postulate

Answer 4

A segment can be measured with a ruler

Question 5

Segment Addition Postulate

Answer 5

If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC

Question 6

Protractor Postulate

Answer 6

You can measure an angle using a protractor

Question 7

Angle Addition Postulate

Answer 7

Same as Segment Addition Postulate but with angles

Question 8

Postulate 1-9

Congruent Figure Postulate

Answer 8

If two figures are congruent, then their areas are congruent.

Question 9

Postulate 1-10

Area Sum Postulate

Answer 9

The area of a region is the sum of the areas of it’s nonoverlapping parts