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CK-12 Geometry Honors Concepts

Created by: CK-12
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• 1. Basics of Geometry

Review the basics of geometry including angles, lines, shapes and solids.

• 2. Rigid Transformations

Explore transformations by hand and with dynamic geometry software.

• 3. Congruence

Use rigid transformations to derive five criteria for triangle congruence. Solve problems using congruent triangles.

• 4. Reasoning and Proof

Write proofs of theorems about lines, angles, triangles, and quadrilaterals in the paragraph format, two-column format, and flow diagram format.

• 5. Constructions

Create formal geometric constructions by hand and with dynamic geometry software.

• 6. Similarity

Consider dilations and similar figures. Prove theorems involving similarity and explore special right triangles.

• 7. Trigonometry

Use similar triangles to understand the trigonometric ratios. Use trigonometric ratios to solve problems involving both right and non-right triangles.

• 8. Circles

Derive the formulas for area and circumference of circles. Investigate the angles, shapes, and lines that are related to circles.

• 9. Three Dimensions

Derive volume formulas using Cavalieri's principle. Explore modeling, density, and design problems.

• 10. Conics and Coordinate Geometry

Explore conic sections. Connect algebra and geometry with coordinate proofs.

• 11. Applications of Probability

Calculate probabilities of events, unions, and intersections. Use probability to analyze games and decisions.

Date Created:

Jun 26, 2013

Jul 31, 2014
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