GEO Contents
Introduction to Geometry
| Category Title | Problems |
|---|---|
| Definitions of Geometric Terms | 84 |
| True/False | 92 |
| Always/Sometimes/Never | 34 |
| Characteristics of Geometric Figures | 52 |
| Naming Geometric Figures | 44 |
| Identifying Geometric Figures | 16 |
| Intersections | 28 |
| Properties of Algebra | 24 |
| Logic | 64 |
Angles and Angle Measurement
| Category Title | Problems |
|---|---|
| Characteristics of Angles | 26 |
| True/False | 20 |
| Always/Sometimes/Never | 44 |
| Sketching Angles | 50 |
| Identifying Types of Angles | 28 |
| Angle Measures | 66 |
| Measuring Angles | 42 |
| Angle Addition and Subtraction | 34 |
| Angle Measurement Problems | 18 |
| Angle Bisector Problems | 36 |
| Complementary and Supplementary Angle Problems | 32 |
Parallel Lines
| Category Title | Problems |
|---|---|
| Characteristics of Parallel Lines | 46 |
| True/False | 30 |
| Always/Sometimes/Never | 34 |
| Tests of Parallel | 36 |
| Congruent Angles | 16 |
| Problem Solving | 46 |
Polygons
| Category Title | Problems |
|---|---|
| Characteristics of Polygons | 38 |
| True/False | 26 |
| Always/Sometimes/Never | 84 |
| Trapezoids | 28 |
| Parallelograms | 42 |
| Special Parallelograms | 30 |
| Regular Polygons | 10 |
| Interior Angles of Polygons | 44 |
| Exterior Angles of Polygons | 28 |
Triangles
| Category Title | Problems |
|---|---|
| Characteristics of Triangles | 32 |
| True/False | 16 |
| Always/Sometimes/Never | 38 |
| Angle Measures | 52 |
| Side Lengths | 42 |
| Points of Congruence | 24 |
Congruence
| Category Title | Problems |
|---|---|
| Characteristics of Congruent Polygons | 22 |
| True/False | 34 |
| Always/Sometimes/Never | 30 |
| Tests of Congruence | 42 |
| Congruence Statements | 26 |
| Establishing Congruence | 10 |
| Corresponding Parts of Congruent Triangles | 14 |
| Problem Solving With Congruence | 18 |
Similarity
| Category Title | Problems |
|---|---|
| Characteristics of Similar Figures | 26 |
| True/False | 26 |
| Always/Sometimes/Never | 36 |
| Tests of Similarity | 34 |
| Segment Proportionality Problems | 14 |
| Triangle Proportionality Problems | 10 |
| Angle Bisector Problems | 10 |
| Golden Ratio Problems | 16 |
| Problem Solving with Similar Polygons | 46 |
Right Triangles
| Category Title | Problems |
|---|---|
| Geometric Mean Problems | 42 |
| Altitudes drawn to Hypotenuse of a Right Triangle | 38 |
| Pythagorean Theorem Problems | 120 |
| Determining Type by Side Length | 20 |
| Pythagorean Theorem Converse Problems | 38 |
| Pythagorean Triples and Primitives Problems | 10 |
| Special Right Triangles: 45-45-90 | 56 |
| Special Right Triangles: 30-60-90 | 76 |
| Applications and Word Problems | 28 |
| Trigonometric Ratios | 58 |
Circles
| Category Title | Problems |
|---|---|
| Characteristics of Circles | 18 |
| Naming | 28 |
| True/False | 28 |
| Always/Sometimes/Never | 24 |
| Inscribed Arcs and Central Angles | 46 |
| Arcs and Angles formed by Chords, Secants, and Tangents | 26 |
| Chord Lengths | 24 |
| Radii, Diameters, and Circumfrences | 52 |
| Arc Lengths | 28 |
| Secant and Tangent Lengths | 40 |
| Areas of Circles | 42 |
| Areas of Sectors, Segments, and Annuli | 30 |
Area
| Category Title | Problems |
|---|---|
| Area of Triangles using ½ * b * h | 50 |
| Hero's Formula | 24 |
| Trigonometric Ratios | 16 |
| Area of Trapezoids | 34 |
| Paralellograms | 34 |
| Rhombuses | 30 |
| Rectangles and Squares | 38 |
| Polygons | 56 |
| Ratios of Areas of Similar Polygons | 8 |
Solids, Volume and Surface Area
| Category Title | Problems |
|---|---|
| Characteristics of Solids | 24 |
| True/False | 44 |
| Always/Sometimes/Never | 32 |
| Volume of Prisms | 48 |
| Surface Area of Prisms | 22 |
| Volume of Cylinders | 26 |
| Surface Area of Cylinders | 20 |
| Volumes of Pyramids and Cones | 44 |
| Surface Areas of Pyramids and Cones | 32 |
| Volume of Spheres and Hemispheres | 24 |
| Surface Areas and Cross Sectional Areas of Spheres and Hemispheres | 32 |
| Platonic Solids | 26 |
| Solids Contained in Solids | 20 |
| Ratios of Volumes of Similar Polyhedra | 38 |
Analytic Geometry
| Category Title | Problems |
|---|---|
| Characteristics of Analytic Geometry | 50 |
| True/False | 38 |
| Always/Sometimes/Never | 36 |
| Midpoints | 40 |
| Distances | 48 |
| Lengths | 22 |
| Slopes, Intercepts, and Equations of Lines | 22 |
| Systems of Equations | 16 |
| Coordinate Figures | 26 |
| Symmetry | 28 |
| Transformations | 144 |
| Mappings | 20 |
| Tessellations | 8 |
Sketches, Constructions, and Loci
| Category Title | Problems |
|---|---|
| Sketching Geometric Figures | 118 |
| Constructions | 56 |
| Labeling and Assumptions | 16 |
| Loci | 26 |
Geometric Proofs
| Category Title | Problems |
|---|---|
| Algebraic | 28 |
| Segment and Segment Length | 30 |
| Angle and Angle Measurement | 48 |
| Complementary and Supplementary Angles | 42 |
| Parallel Lines | 56 |
| Triangles | 30 |
| Inequalities | 70 |
| Isosceles Triangles | 30 |
| Triangle Congruence (SSS/SAS/HL) | 24 |
| Triangle Congruence (ASA/AAS) | 62 |
| Triangle Congruence (CPCTC I) | 52 |
| Triangle Congruence (CPCTC II) | 54 |
| Similarity | 70 |
| Quadrilaterals | 50 |
| Three Dimensional | 30 |
| Circles | 52 |
| Analytic Geometry | 16 |
| Indirect | 20 |
| Fill-in-the-Blank | 42 |