Geometry · Triangles
Virginia SOL G.TR.1
Virginia SOL G.TR.1 is part of the Triangles strand in Geometry (Math). Under this Standards of Learning objective, students determine relationships between angles and sides in triangles and solve related problems. Below is what G.TR.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice G.TR.1 for the Virginia SOL test.
What SOL G.TR.1 means
Determine relationships between angles and sides in triangles and solve related problems.
Practice Geometry SOL questions
Free Geometry questions from official Virginia Department of Education released SOL tests — good practice while you work on G.TR.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. From shortest to longest, the sides of △ABC are ordered based on opposite angle measures of 59°, 57°, and 64°. Which ordering is correct?
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Answer: D — AB, AC, BC
2. In a triangle, m∠C = 125° and m∠B = 35°. Which is the shortest side of the triangle?
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Answer: J — BC
3. On a map, Tannersville, Chadwick, and Barkersville form a triangle. Chadwick is 70 miles from Tannersville, and Barkersville is 90 miles from Tannersville. Which is a possible distance between Chadwick and Barkersville?
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Answer: C — 150 miles
4. A circular design shows a 30° central angle and a chord length of 5 cm opposite that angle. How long is the radius of the circle?
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Answer: F — 10 cm
Skills you’ll practice for G.TR.1
- Determine whether a triangle could be formed given the lengths of three segments.
- Determine the range in which the length of the third side must lie given the lengths of two sides of a triangle.
- Order the sides of a triangle by their lengths when given information about the measures of the angles.
- Order the angles of a triangle by their measures when given information about the lengths of the sides.
- Solve for interior and exterior angles of a triangle when given two angles.
Key concepts covered by G.TR.1
- triangle inequality
- triangle formation
- segment lengths
- triangle side lengths
- range of third side
- triangle sides
- angle measures
- side ordering
- triangle angles
- side lengths
- angle ordering
- interior angles
- exterior angles
- triangle angle measures
How to study and practice SOL G.TR.1
Start with a quick diagnostic to see whether G.TR.1 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 Triangles
Frequently asked questions about SOL G.TR.1
What is Virginia SOL G.TR.1?
SOL G.TR.1 is a Geometry Standard of Learning in the Triangles strand. It expects students to determine relationships between angles and sides in triangles and solve related problems.
What skills does SOL G.TR.1 cover?
SOL G.TR.1 is assessed on 5 skills: determine whether a triangle could be formed given the lengths of three segments; determine the range in which the length of the third side must lie given the lengths of two sides of a triangle; order the sides of a triangle by their lengths when given information about the measures of the angles; order the angles of a triangle by their measures when given information about the lengths of the sides; solve for interior and exterior angles of a triangle when given two angles.
What strand of Geometry is SOL G.TR.1 in?
SOL G.TR.1 belongs to the Triangles reporting strand of the Geometry Virginia Standards of Learning.
How do I study and practice for SOL G.TR.1?
Start with a diagnostic to see whether G.TR.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.