Geometry definitions and postulates

Definition of Angle Bisector

• A ray that divides an angle into two congruent angles.

• Two angles whose measures add to 90°

• Two angles whose measure add to 180°

• A line, segment, or ray that creates right angles at the midpoint of another segment.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

Reflexive Property of Congruence

• DC≅CD

• AB≅AB

• If a=b then b=a

• a = a

Angle Addition Postulate (AAP)

• If B is between A and C, then

  AB+BC=AC

• If a=b, then a+c = b+c

• Adjacent angles can be added together.

  m∡ABD+ m∡DBC=m∡ABC

• Two angles whose measure add to 180°

Tags

CCSS.7.G.B.5

Definition of Linear Pair

• Two angles created by intersecting lines whose measures are congruent. (Opposite angles)

• Two angles whose measure add to 180°

• Intersecting lines that create right angles.

• Two adjacent angles whose measures add up to 180°

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Definition of Perpendicular Bisector

• A line, ray, or segment that intersects another segment at its midpoint.

• A point that divides a line segment into two congruent line segments.

• Segments that have equal length.

• A line, segment, or ray that creates right angles at the midpoint of another segment.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Transitive Property of Equality

• If a=b, then “a” can be substituted for “b” in any expression

• If a=b and b=c, then a=c

• If 5x+3x=16, then 8x=16

• If EF≅ GH and GH≅ JK, then EF≅JK

Tags

CCSS.HSA.REI.A.1

Definition of Straight Angle

• Two adjacent angles whose measures add up to 180°

• Two angles whose measure add to 180°

• An angle whose measure is greater than 90° but less than 180°

• An angle whose measure is 180°

Tags

CCSS.HSG.CO.A.1

Intersecting lines that create right angles.

• Definition of Perpendicular Lines

• Definition of Perpendicular Bisector

• Definition of Right Angle

• Definition of Congruent Angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

A point that divides a line segment into two congruent line segments.

• Definition of Congruent Segments

• Definition of Congruent Angles

• Definition of a Midpoint

• Definition of Perpendicular Bisector

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.GPE.B.6

DC≅CD

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Equality

• Reflexive Property of Congruence