Printable version

What to know for the Chapter 1 Test

Definitions

• Undefined Terms (points, lines, planes)
• Line segment (endpoints)
• Ray (endpoint)
• Angle (vertex, sides)
• The length of a line segment
• Acute angle
• Right angle
• Obtuse angle
• Straight angle
• Congruent segments (and associated symbology)
• Congruent angles (and associated symbology)
• Collinear points
• Noncollinear points
• Theorem
• Segment bisector
• Midpoint of a segment
• Segment trisectors
• Angle bisector
• Angle trisectors
• Postulate
• Deductive structure
• Conditional statements
• Probability

Theorems

• If two angles are right angles, then they are congruent (the right angle theorem or RAT)
• If two angles are straight angles, then they are congruent
• If a conditional statement is true, then its contrapositive is also true

Types of Problems

• Determining unions and intersections in diagrams
• Angle and triangle restrictions
• Converting angle measures in degrees, minutes, seconds form to fractional form
• Converting angle measures in fractional form to degrees, minutes, seconds form
• Adding and subtracting angle measures in degrees, minutes, seconds form
• Clock problems
• Assumptions from diagrams (what can be assumed, what cannot be assumed)
• Constructions
  • Segment bisector
  • Angle Bisector
  • Equilateral triangle (60° angle)
• Transformations on the coordinate plane (90°, 180°, 270°, and reflection over y = x)
• Symmetry (Rotational and Reflectional)
• Determining the converse, inverse, contrapositive of conditional statements
• Chain of reasoning
• Simultaneous equations
• Probability