# CK-12 Geometry Concepts - Honors

**Advanced**Created by: CK-12

- 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.