Summit Math Geometry | A Guided Discovery Workbook: 1,500 Exercises with Detailed Solutions

Master geometry at your own pace. The ultimate summer preview and school-year companion.Scaffolded for independent learning, Summit Math Geometry eliminates a common source of frustration by focusing on intuitive reasoning and active problem-solving rather than formal proof-writing. Across 8 comprehensive units, students discover not just what to do, but why it works. Why Choose the Summit Math Approach?Active Learning: Each lesson actively builds intuition through guided problem-solving.Comprehensive Coverage: A full year of high school geometry spanning 250 pages, from the basics of angles, parallel lines, & polygons to the more advanced topics of trigonometry, circles & surface area.1,500 Exercises: From foundational skills to challenging applications, students get the repetition and depth needed for mastery.Step-by-Step Answer Key: Clear, detailed solutions help students learn from mistakes and confidently work independently.8 Page-Mapped Unit Tests: Each test has an Answer key with an index that maps test questions back to specific pages, making it easy to identify concepts that need more review.Classroom-Tested Authority: Aligned with standard high school geometry curricula and written by a teacher with 20+ years of classroom experience.What's Inside?Unit 1: Points, Lines & AnglesPoints, lines, angles, midpoint, segment length, complementary & supplementary angles, parallel lines & transversals, perpendicular bisectorUnit 2: Triangles, Similarity & PolygonsTypes of triangles, similarity, midsegments, medians, perpendicular bisectors & altitudes, geometric mean, polygonsUnit 3: QuadrilateralsQuadrilaterals, parallelograms, rhombi, rectangles, trapezoids, kitesUnit 4: Special Right TrianglesPythagorean Theorem, distance formula, 45-45-90 & 30-60-90 triangles, applications of right triangles, Triangle Inequality Theorem, classifying triangles with the Pythagorean TheoremUnit 5: Areas of 2D ShapesArea formulas (rectangle, triangle, parallelogram, rhombus, trapezoid, regular polygon), areas of shaded regions, area ratios of similar figuresUnit 6: CirclesArc measures, central & inscribed angles, inscribed quadrilaterals, circumference & arc length, areas of circles & sectors, angles inside & outside circles, intersecting chords, secants & tangents, the equation of a circleUnit 7: Right Triangle TrigonometrySine, cosine & tangent ratios, inverse functions, angles of elevation/depression and other real-world applications, trig ratios for special right trianglesUnit 8: Surface Area & VolumeSurface Area & Volume formulas (prisms, cylinders, pyramids, cones, spheres), volume ratios of similar figuresPerfect ForStudents doing enrichment or preparing for testingTeachers looking for a structured, ready-to-use workbookHomeschool families seeking a Geometry curriculumA Better Way to Learn GeometryMany students struggle when Geometry is taught as a list of rules to memorize. Summit Math Geometry takes a different approach, helping students enjoy the journey as they actively engage in learning each concept and become better problem-solvers. Read more