Understanding Points, Lines, and Planes

Postulates- Points Lines, and Planes and Intersection of Lines and Planes.

62 cards   |   Total Attempts: 188
  

Cards In This Set

Front Back
1-1-1
Through any two points there is exactly one line.
1-1-2
Through any three non collinear points there is exactly one plane containing them.
1-1-3
If two points lie in a plane, then the line containing those points lies in the plane.
1-1-4
If two lines Intersect, then they intersect in exactly one point.
1-1-5
If two planes intersect, then they intersect in exactly one line.
Ruler Postulate
The points on a line can be put into a one-to-one correspondence with the real numbers.
Segment Addition Postulate
If B is between A and C, then AB+BC= AC
Protractor Postulate
Given line AB and a point O on line AB, all rays that can be drawn from O can be put into a one-to-one correspondence with the real numbers from 0 to 180.
Angle Addition Postulate
If S is in the interior of angle PQR, then measure of angle PQS+ measure of angle SQR= measure of angle PQR.
Pythagorean Theorem
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Linear Pair Theorem
If two angles form a linear pair, then they are supplementary.
Congruent Supplements Theorem
If two angles are supplementary to the same angle (or two congruent angles), then the two angles are congruent.
Right Angle Congruence Theorem
All right angles are congruent.
Congruent Complements Theorem
If two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent.
Common Segments Theorem
Given collinear point A, B, C, D arranged as shown, if segment AB is congruent to segment CD, then segment AC is congruent to segment BD.