Download Postulates – Something you except as true

Definitions – Statement that describes a mathematical object and can be written as a true biconditional statement.
1. Congruent – Having the same size shape (measurements are equal)
2. Midpoint – The point that bisects the segment into two congruent segments
3. Bisects – To divide something into two congruent parts.
4. Segment Bisector – Any ray, segment, or line that intersects a segment at its midpoint.
5. Angle Bisector – A ray that divides an angle into two congruent angles.
6. Linear Pair – A pair of angles that are adjacent and whose noncommon sides are opposite rays.
7. Complementary Angles – Two angles whose measures add up to 90°.
8. Supplementary Angles – Two angles whose measures add up to 180°.
9. Vertical Angles – Two nonadjacent angles formed by two intersecting lines.
Postulates – Something you accept as true
1. Through any two points there is exactly one line.
2. Through any three noncollinear points there is exactly one plane.
3. If two points lie in a plane, then the line containing those points lies in the plane.
4. If two lines intersect, they intersect in exactly one point.
5. If two planes intersect, they intersect in exactly one line.
6. Segment Addition Postulate: If B is between A and C, then AB + BC = AC
7. Angle Addition Postulate: If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR.
Theorems – Any statement you can prove.
1. Linear Pair Theorem: If two angles form a linear pair, then they are supplementary.
2. Vertical Angles Theorem: Vertical angles are congruent.
Definitions – Statement that describes a mathematical object and can be written as a true biconditional statement.
1. Congruent – Having the same size shape (measurements are equal)
2. Midpoint – The point that bisects the segment into two congruent segments
3. Bisects – To divide something into two congruent parts.
4. Segment Bisector – Any ray, segment, or line that intersects a segment at its midpoint.
5. Angle Bisector – A ray that divides an angle into two congruent angles.
6. Linear Pair – A pair of angles that are adjacent and whose noncommon sides are opposite rays.
7. Complementary Angles – Two angles whose measures add up to 90°.
8. Supplementary Angles – Two angles whose measures add up to 180°.
9. Vertical Angles – Two nonadjacent angles formed by two intersecting lines.
Postulates – Something you accept as true
1. Through any two points there is exactly one line.
2. Through any three noncollinear points there is exactly one plane.
3. If two points lie in a plane, then the line containing those points lies in the plane.
4. If two lines intersect, they intersect in exactly one point.
5. If two planes intersect, they intersect in exactly one line.
6. Segment Addition Postulate: If B is between A and C, then AB + BC = AC
7. Angle Addition Postulate: If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR.
Theorems – Any statement you can prove.
1. Linear Pair Theorem: If two angles form a linear pair, then they are supplementary.
2. Vertical Angles Theorem: Vertical angles are congruent.