Download Midterm Topics

Geometry: Midterm Topics
CHAPTER 1: Essentials of Geometry
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Identify points, lines, and planes
Use midpoint and distance formulas
Classify angles (acute, right, obtuse, straight)
Angle pair relationships (complementary, supplementary, adjacent, linear pair, vertical)
Classify polygons (triangle, quadrilateral, pentagon, hexagon, … dodecagon)
Perimeter, Circumference, Area
CHAPTER 2: Reasoning and Proof
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Inductive/Deductive Reasoning
Conditional Statements (“if…then…”)
Converse, Inverse, Contrapositive, and Biconditional statements
Proofs involving segments and angles
CHAPTER 3: Parallel and Perpendicular Lines
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Identify pairs of lines (parallel, skew, perpendicular)
Identify pairs of angles (corresponding, AIA, AEA, SSIA)
Parallel lines cut by a transversal
Slopes
Writing equations of lines
Graphing equations of lines
Proofs involving parallel or perpendicular lines
CHAPTER 4: Congruent Triangles
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Triangle Sum Theorem (180°)
Use SSS, SAS, ASA, AAS, HL to prove triangles congruent
Isosceles and equilateral triangles
CHAPTER 5: Relationships within Triangles
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Midsegment Theorem
Perpendicular Bisectors/Circumcenter
Angle Bisectors/Incenter
Medians/Centroid
Altitudes/Orthocenter
Inequalities in triangles