Download Geometry Chapter 1 Quiz Topics Notation: point, line, plane, ray

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Transcript
Geometry Chapter 1 Quiz Topics
Notation: point, line, plane, ray, segment, parallel, perpendicular, congruent, angle
Formulas: midpoint, distance between two points on the number line
Properties: Definition of Congruent, Definition of Midpoint, Definition of Segment Bisector,
Segment Addition Postulate, Definition of Complementary, Definition of Supplementary, Angle
Addition Postulate, Definition of Perpendicular, Definition of Perpendicular Bisector
Key Terms: collinear, coplanar, intersection, counter-example, opposite rays, skew, congruent,
segment bisector, angle bisector, acute angle, right angle, obtuse angle, straight angle, adjacent angles,
vertical angles, complementary angles, supplementary angles, perpendicular, perpendicular bisector
Algebra topics: add/subtract/multiply/divide fractions, PEMDAS, solving equations with and without
fractions, evaluating expressions
Properties
Definition of Congruence
Definition of Midpoint
If two angles or two segments have equal
measure, then they are congruent.
If M is the midpoint of AB , then AM = MB and
AM  MB .
Definition of Segment Bisector
Segment Addition Postulate (SAP)

If AB is the segment bisector of XY at M, then M
is the midpoint of XY .
If B is between collinear points A and C, then
AB + BC = AC
Definition of Angle Bisector
Definition of Complementary Angles

If BX is the angle bisector of ABC , then
ABX  XBC
If two angles are complementary then their
measures add to 90
Definition of Supplementary Angles
Definition of Perpendicular Lines
If two angles are supplementary then their
measures add to 180
If two lines are perpendicular, then they form
congruent, right angles.
Angle Addition Postulate (AAP)
Definition of Perpendicular Bisector
If X is in the interior of ABC , then
mABX  mXBC  mABC

If AB is the perpendicular bisector
of XY at M,
then M is the midpoint of XY and AB and
XY make congruent, right angles.