Geometry, Intensified

Geometry, Intensified is a core course that provides a rigorous treatment of mathematics content for all students who have successfully completed Algebra I, Intensified.

More specific examples of content components of the Virginia Standards of Learning (SOL) for Geometry include:

• Deductive reasoning to construct and judge the validity of a logical argument given a set of premises and a condition.
• Use relationship between angles formed by two lines intersected by a transversal to prove two or more-lines parallel and solve practical problems.
• Solve problems involving symmetry and transformation including applications involving distance, midpoint, slope, and translations using coordinate methods.
• Construct and justify various constructions.
• Given information about lengths of sides and/or angle measures in triangles, solve practical problems.
• Prove two triangles are congruent or similar.
• Solve practical problems involving right triangles including the Pythagorean Theorem, special right triangles, and trigonometric ratios.
• Verify and use properties of quadrilaterals to solve problems.
• Solve practical problems involving angles of convex polygons.
• Apply properties of circles to practical problems.
• Solve problems involving equations of circles.
• Use surface area and volume of three-dimensional geometric figures.

The content of the standards is intended to support the following process goals for leaning mathematics: Problem Solving, Communications, Connections, Representations, and Reasoning.