The Mathletes
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  • Chapter 1 Foundations of Geometry
    • 1.1 understanding Points, Lines and Planes
      • 1.2 Measuring and Constructing Segments
        • 1.3 Measuring and Constructing Angles
          • 1.4 Pairs of Angles
            • 1.5 Using Formulas in Geometry
              • 1.6 Midpoint and Distance in the Coordinate Plane
                • 1.7 Transformations in the Coordinate Plane
                • Chapter 2 Geometric Reasoning
                  • 2.1 Using Inductive Reasoning to Make Conjectures
                    • 2.2 Conditional Statements
                      • 2.3 Using Deductive Reasoning to Verify Conjectures
                        • 2.4 Biconditional Statements and Definitions
                          • 2.5 Algebraic Proof
                            • 2.6 Geometric Proof
                              • 2.7 Flowchart and Paragraph Proofs
                              • Chapter 3 Parallel and Perpendicular Lines
                                • 3.1 Lines and Angles
                                  • 3.2 Angles Formed by Parallel Lines and Transversals
                                    • 3.3 Proving Lines Parallel
                                      • 3.4 Perpendicular Lines
                                        • 3.5 Slopes of Lines
                                        • Chapter 4 Triangle Congruence
                                          • 4.1 Classifying Triangles
                                            • 4.2 Angle Relationships in Triangles
                                              • 4.4 Triangle Congruence: SSS and SAS
                                                • 4.5 Triangle Congruence: ASA, AAS, and HL
                                                  • 4.6 Triangle Congruence: CPCTC
                                                  • Chapter 5 Properties and Attributes of Triangles
                                                    • 5.1 Perpendicular and Angle Bisectors
                                                      • 5.3 Medians and Altitudes of Triangles
                                                        • 5.4 The Triangle Midsegment Theorem
                                                          • 5.5 Indirect Proof and Inequalities in One Triangle
                                                            • 5.6 Inequalities in 2 Triangles
                                                              • 5.7 The Pythagorean Theorem
                                                                • 5.8 Applying Special Right Triangles

                                                                5.1 Perpendicular Angle Bisectors

                                                                Equidistant - when a point is the same distance from 2 or more objects.
                                                                5-1-1 Perpendicular Bisector Theorem- If a point is on the perpendicular bisector of a segment, then it is
                                                                  equidistant from the endpoints of the segment.
                                                                5-1-2 Conv. of Perpendicular bisector Theorem- If a point is equidistant from the endpoints of a segment,
                                                                then it is on the perpendicular bisector of a segment.
                                                                5-1-3 Angle Bisector Theorem- If a point is on the bisector of an angle, then it is equidistant from the sides of
                                                                the angle.
                                                                5-1-4 Conv. of Angle Bisector Theorem- If a point in the interior of an angle is equidistant from the sides of
                                                                the angle, then it is on the bisector of the angle
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