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Geometry Textbook

Points & Lines → Triangles → Circles → Coordinate Geometry

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High School Geometry Grades 9–10
Unit 1 — Foundations of Geometry
1

Points, Lines, and Planes

Undefined terms, segments, rays, angles, angle pairs, angle bisectors

Geometry 8 problems 3 interactive diagrams
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2

Reasoning and Proof

Inductive and deductive reasoning, conditional statements, two-column proofs

Geometry 8 problems 3 interactive diagrams
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Unit 2 — Parallel and Perpendicular Lines
3

Parallel Lines and Transversals

Corresponding, alternate interior/exterior, co-interior angles; proving lines parallel; slope

Geometry 8 problems 3 interactive diagrams
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Unit 3 — Triangles
4

Triangle Relationships

Angle sum, exterior angle theorem, triangle inequality, side-angle order, midsegments

Geometry 8 problems 3 interactive diagrams
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5

Congruent Triangles

SSS, SAS, ASA, AAS, HL — congruence postulates, CPCTC, isosceles triangle theorem

Geometry 8 problems 3 interactive diagrams
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6

Similar Triangles

AA, SAS, SSS similarity; scale factor; proportional sides; indirect measurement

Geometry 8 problems 3 interactive diagrams
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Unit 4 — Right Triangles & Trigonometry
7

Right Triangles and the Pythagorean Theorem

Pythagorean theorem, converse, special right triangles (45-45-90, 30-60-90)

Geometry 8 problems 3 interactive diagrams
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8

Trigonometry: SOHCAHTOA

Sine, cosine, tangent ratios; solving right triangles; angles of elevation/depression

Geometry 8 problems 3 interactive diagrams
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Unit 5 — Quadrilaterals & Polygons
9

Quadrilaterals

Parallelograms, rectangles, rhombuses, squares, trapezoids, kites — properties and proofs

Geometry 8 problems 3 interactive diagrams
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Unit 6 — Circles
10

Circles: Arcs, Chords, and Angles

Central angles, inscribed angles, arc length, chord relationships, tangent lines

Geometry 8 problems 3 interactive diagrams
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Unit 7 — Area, Surface Area & Volume
11

Area of Polygons and Circles

Area formulas, composite figures, sector area, arc length

Geometry 8 problems 3 interactive diagrams
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12

Surface Area and Volume

Prisms, pyramids, cylinders, cones, spheres — formulas and applications

Geometry 8 problems 3 interactive diagrams
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Unit 8 — Coordinate Geometry
13

Coordinate Geometry

Distance formula, midpoint formula, slope, equations of lines and circles, partitioning segments

Geometry 8 problems 3 interactive diagrams
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