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Transcript
Reflexive Property – A quantity equal to itself. a = a
Symmetric Property – An equality may be written in either order.
Transitive Property – If 2 quantities are = to the same quantity, then they’re equal to each other.
Substitution property – A quantity may be replaced with its equal.
Addition property – Equals added to equals are equals.
Division Property – If x = y then x/k = y/k
Partition Postulate – The whole is equal to the sum of its parts.
Theorem –
If 2 angles are right angles then they are congruent.
If 2 angles are linear pairs they are supplementary
If 2 angles are congruent, then their supplements are congruent.
If 2 angles are congruent, then their complements are congruent.
If 2 angles are supplementary to the same angle, then they are congruent.
If 2 angles are comp. to the same angle, then they are congruent.
If 2 angles are vertical angles then they are congruent.
If 2 angles form a right angle, then they are comp.
Definitions Involving Planes and Lines
1. Collinear points are points that lie on the same line
2. X is between W and Y means that W, X, and Y are collinear and WX + XY = WY.
3. A line segment (or segment) is a set of two points on a line called endpoints and all the
points between them.
4. The length of a line segment is the distance between its endpoints
5. Congruent line segments are segments which have the same length
6. The midpoint of a line segment is the point of the segment which divides the segment into
two congruent segments
7. R and S are on the same side as T means that R, S, and T are collinear and either S is
between R and T or R is between S and T.
8. A ray is a set of points consisting of a point on a line called the endpoint and all the points
on that line on the same side of the endpoint.
9. Opposite rays are two rays of the same line with a common endpoint but no other point in
common.
10. A segment bisector is a line which intersects a segment at its midpoint.
Definitions Involving Angles
1. An angle is the union of two rays with a common endpoint.
2. A straight angle is the union of two opposite rays.
3. A degree is the measure of an angle that is 1/180 of a straight angle.
4. Congruent angles are angles that have the same degree measure
5. An angle bisector is a ray whose endpoint is the vertex of the angle and which divides the
angle into two congruent angles.
6. Adjacent angles are two angles in the same plane that have a common vertex and a
common side but no interior points in common.
7. Vertical angles are angles such that the sides of one are opposite rays of the sides of the
other.
8. Complementary angles are two angles the sum of whose measures is 90 degrees.
9. Supplementary angles are two angles the sum of whose measures is 180 degrees.
10. A linear pair is two adjacent angles whose non-common sides are opposite rays.
11. Perpendicular lines are two lines that intersect to form right angles.