High School Geometry Test Prep

完整的高中几何备考

Congruence

Transformations

Angle vocabulary

Translations: find the coordinates

Transformations that carry a polygon onto itself

Rotate polygons about a point

Transformations, Rotations and Reflections

Rigid Motions

Use the definition of Congruence in terms of Rigid motions

Congruent Triangles

Congruence Triangles (ASA, SAS, and SSS)

Geometric Theorems

Proofs involving angles

Proofs involving triangles

Proofs involving quadrilaterals

Geometric Constructions

Construct the midpoint or perpendicular bisector of a segment

Construct an equilateral triangle inscribed in a circle

Similarity, Right Triangles, & Trigonometry

Similarity Transformations

Dilations and parallel lines

Dilations and scale factors

Similar figures: side lengths and angle measures

Similar triangles and indirect measurement

Prove Theorems Similarity

Proofs involving triangles II

Similar triangles and indirect measurement

Trigonometric Ratios

Trigonometric ratios: sin, cos, csc, sec, cot and tan

Complementary angles

Solve a right triangle

Trigonometry Triangles

Area of a triangle: sine formula

Law of Sines and Cosines

Solve a triangle

Circles

Circles

Similarity of circles

Inscribed angles

Perimeter of polygons with an inscribed circle

Tangent lines

Areas of Sectors of Circles

Arc measure and arc length

Expressing Geometric Properties with Equations

Geometric Description and the Equation for a Conic Section

Write equations of circles in standard form using properties

Write equations of parabolas in vertex form using properties

Write equations of ellipses and hyperbolas in standard form using properties

Simple Geometric Theorems

Slopes of parallel and perpendicular lines

Midpoints

Area and perimeter of a triangles

Geometric Measurement & Dimension

Volume Formulas

Volume of cylinders, pyramids, cones, and spheres

Visualize Relationships between 2-D and 3-D Objects

Cross-sections of three-dimensional figures

Modeling with Geometry

Modeling Situations

Area and perimeter: word problems