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Geometry Scope and Sequence
Area
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Axioms of Area
Area of Parallelograms and Triangles
Area of Trapezoids
Area of Regular Polygons
Area and Perimeter of Circle
Additional Topics
 Ratios of Areas and Volumes
 Geometric Probability
Similarity
 Ratios and Proportions
 Similar Figures
 Similar Triangles
 Proportionality
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Additional Topics
Dilation
Similarity and
Geometric Inequalities
 Review Algebraic Properties of Inequalities
 Proof by Contradiction (Indirect Proof)
 Inequalities in One Triangle
 The Triangle Inequality
 Inequalities in Two Triangles
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Additional Topics
Pythagorean Inequalities (Requires Pythagorean Theorem)
Geometry and the Arithmetic Mean / Geometric Mean Inequality
Geometric Constructions
 Basic Geometric Constructions
Right Triangles
 Using the Pythagorean Theorem
 Using Similarity in Right Triangles
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Using Inverse Trigonometric Functions
Drawing Right Triangles from Word Problems
Applying the Sine and Cosine Ratios
Finding Tangent Ratios
Using Special Right Triangles
Finding the Geometric Mean
Triangles and Congruence
 Congruent Triangles
 Triangles
 Median and Bisectors
Solid Geometry
 Finding the Surface Area of Prisms
 Finding the Surface Area of a Pyramid
 Finding the Surface Area of a Cylinder
 Finding the Volume of a Prism
Parallel Lines and Angles
 Identifying Angle pairs
 Finding Slopes of Lines
 Determining if Lines are Parallel or Perpendicular
 Applying Information about Angle Pairs
Circle Geometry
 Tangent Lines
 Angles in a Circle
 Arcs and Chords
 Inscribed Angles
 Circle Proofs
Transformations
 Symmetry
 Rotation
 Dilations and Isometry
 Composition of Transformations
 Tessellations
 Coordinate Geometry
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