Geometry · Polygons and Circles
Virginia SOL G.PC.2
Virginia SOL G.PC.2 is part of the Polygons and Circles strand in Geometry (Math). Under this Standards of Learning objective, students verify relationships and solve problems involving the number of sides and measures of angles of convex polygons. Below is what G.PC.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice G.PC.2 for the Virginia SOL test.
What SOL G.PC.2 means
Verify relationships and solve problems involving the number of sides and measures of angles of convex polygons.
Practice Geometry SOL questions
Free Geometry questions from official Virginia Department of Education released SOL tests — good practice while you work on G.PC.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. All vertices of a hexagon have integer coordinates. One line of symmetry passes through which two points?
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Answer: F — (−4, 3) and (4, 3)
2. Polygon A′B′C′D′E′ is obtained from polygon ABCDE by reflecting each point across the x-axis. Which transformation describes this change?
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Answer: D — Reflection across the x-axis
3. The midpoint of segment AB is (−2, 1). The coordinates of A are (2, 3). What are the coordinates of B?
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Answer: D — (−6, −1)
4. An airplane travels due north at 300 knots. The wind blows from the east at 50 knots. Which is closest to the resultant speed of the airplane?
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Answer: B — 304 knots
Skills you’ll practice for G.PC.2
- Solve problems involving the number of sides of a regular polygon given the measures of the interior and exterior angles of the polygon.
- Justify the relationship between the sum of the measures of the interior and exterior angles of a convex polygon and solve problems involving the sum of the measures of the angles.
- Justify the relationship between the measure of each interior and exterior angle of a regular polygon and solve problems involving the measures of the angles.
Key concepts covered by G.PC.2
- regular polygons
- interior angles
- exterior angles
- number of sides
- convex polygons
- angle sum
- angle measures
How to study and practice SOL G.PC.2
Start with a quick diagnostic to see whether G.PC.2 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Geometry standards in Polygons and Circles
Frequently asked questions about SOL G.PC.2
What is Virginia SOL G.PC.2?
SOL G.PC.2 is a Geometry Standard of Learning in the Polygons and Circles strand. It expects students to verify relationships and solve problems involving the number of sides and measures of angles of convex polygons.
What skills does SOL G.PC.2 cover?
SOL G.PC.2 is assessed on 3 skills: solve problems involving the number of sides of a regular polygon given the measures of the interior and exterior angles of the polygon; justify the relationship between the sum of the measures of the interior and exterior angles of a convex polygon and solve problems involving the sum of the measures of the angles; justify the relationship between the measure of each interior and exterior angle of a regular polygon and solve problems involving the measures of the angles.
What strand of Geometry is SOL G.PC.2 in?
SOL G.PC.2 belongs to the Polygons and Circles reporting strand of the Geometry Virginia Standards of Learning.
How do I study and practice for SOL G.PC.2?
Start with a diagnostic to see whether G.PC.2 is already solid, then work the 3 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.