Midterm Geometry Review

Unit 1: Construction Techniques

• Key Topics Covered:

  • Constructing Patterns

  • Perpendicular Bisectors

  • Perpendicular Lines & Angles Bisectors

  • Parallel and Perpendicular Lines

• Practice Problems:

  • Page 17-18

  • Page 37-38

  • Page 157-159

• Relevant Concepts:

  • Constructing Perpendicular Bisector

  • Constructing Angle Bisectors

  • Constructing Parallel Lines

  • Vertical, Supplementary, and Complementary Angles

  • Transversal Lines

Unit 1: Rigid Transformations

• Key Topics Covered:

  • Rigid Transformations

  • Reflections

  • Translations

  • Rotations

  • Symmetry

• Practice Problems:

  • Page 72-74

  • Page 79-81

  • Page 86-88

  • Page 101-103

  • Page 107-109

• Key Concepts:

  • Transformations

  • Reflections

  • Translations (Rotating 90° and 180°)

  • Axis of Symmetry

Unit 2: Congruent Triangles

• Key Topics Covered:

  • Congruent Parts

  • Congruent Triangles

  • SAS, ASA, SSS Criteria

  • Proofs

• Practice Problems:

  • Page 174-176, 181-184

  • Page 190-191, 195-199

  • Page 211-214

  • Page 219-221

  • Page 235-237

  • Page 242-243

• Key Concepts:

  • Triangle Congruence (CPCTC)

  • SAS, ASA, SSS Theorems

  • Two Column Proofs (Statement & Reason)

  • Exterior Angle Theorem

Unit 2: Proofs about Quadrilaterals

• Key Topics Covered:

  • Proofs about Quadrilaterals

  • Proofs about Parallelograms

• Practice Problems:

  • Page 256-257

  • Page 264-265

Unit 3: Similarity

• Key Topics Covered:

  • Splitting Triangles with Dilations

  • Conditions for Triangle Similarity

  • Proportional Relationships

  • Using the Pythagorean Theorem

• Practice Problems:

  • Page 39-40

  • Page 67-69

  • Page 89-90

  • Page 93, 96-98

• Key Concepts:

  • Dilations

  • Similar Triangles

  • Proportional Relationships

  • Scale Factor

  • Pythagorean Theorem, Similar Right Triangles