Postulates

Question 0

Define the line postulate.

Answer 0

Through any two points, there is exactly one line

Question 1

What is a postulate?

Answer 1

A mathematical statement accepted without proof.

Question 2

Define the plane existence postulate

Answer 2

Through any 3 non colinear points there is exactly one plane.

Question 3

Define the point-line-plane postulate.

Answer 3

If two points lie on a plane, than the line containing those points lies in the same plane.

Question 4

Define the line-intersection postulate.

Answer 4

if two lines intersects, then they intersect in exactly one point.

Question 5

Define the plane-intersection postulate.

Answer 5

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

Question 6

Define the ruler postulate.

Answer 6

Every point on along a line can be associated with one specific numerical value.
Points on a line can be put into one-to-one correspondence with real numbers

Question 7

Define the segment addition postulate.

Answer 7

If point R is between points P and Q, than PR + PQ = PQ

Question 8

Define the protractor postulate

Answer 8

Given line AB and a point O on line AB, all rays that can be drawn from O can be put into one-to-one correspondence with the real numbers from 0 to 180

Question 9

Define the angle addition postulate

Answer 9

If S is in the interior of angle PQR, then

mAngle PQS + mAngle SQR= mAngle PQR

Question 10

Pythagorean Theorem

Answer 10

In a right triangle, the sum of the squares if the lengths of the legs is equal to the square if the length of the hypotenuse.