Polygons and Circles

Virginia SOL G.PC.1

Prove and justify theorems and properties of quadrilaterals and solve related problems.

What students need to be able to do

  • Solve problems using the properties specific to parallelograms, rectangles, rhombi, squares, isosceles trapezoids, and trapezoids.
  • Prove and justify that quadrilaterals have specific properties using coordinate and algebraic methods, such as the slope formula, the distance formula, and the midpoint formula.
  • Prove and justify theorems and properties of quadrilaterals using deductive reasoning.
  • Use congruent segment, congruent angle, angle bisector, perpendicular line, and/or parallel line constructions to verify properties of quadrilaterals.