Geometry · Triangles
Virginia SOL G.TR.2
Virginia SOL G.TR.2 is part of the Triangles strand in Geometry (Math). Under this Standards of Learning objective, students prove and justify triangle congruence using direct and indirect proofs. Below is what G.TR.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice G.TR.2 for the Virginia SOL test.
What SOL G.TR.2 means
Prove and justify triangle congruence using direct and indirect proofs.
Practice Geometry SOL questions
Free Geometry questions from official Virginia Department of Education released SOL tests — good practice while you work on G.TR.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A carpenter builds stairs that form a 30° angle with the floor. The vertical rise is 10 ft. What is the horizontal distance from the foot of the stairs to the wall?
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Answer: B — 17.3 ft
2. The lengths of two consecutive sides of a parallelogram are 10 inches and 15 inches, and the included angle is 60°. To the nearest tenth of a square inch, what is the area of the parallelogram?
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Answer: G — 129.9 sq in.
3. In quadrilateral KLMN, the interior angles are labeled 3x°, (x + 25)°, 95°, and 80°. What is the value of x?
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Answer: B — 40
4. Three vertices of a parallelogram have coordinates (0, 1), (3, 7), and (4, 4). What are the coordinates of the fourth-quadrant vertex?
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Answer: G — (1, −2)
Skills you’ll practice for G.TR.2
- Use definitions, postulates, and theorems (SSS, SAS, ASA, AAS, HL) to prove and justify two triangles are congruent.
- Use algebraic methods to prove that two triangles are congruent.
- Use coordinate methods, such as the slope formula and the distance formula, to prove two triangles are congruent.
- Given a triangle, use congruent segment, congruent angle, and/or perpendicular line constructions to create a congruent triangle (SSS, SAS, ASA, AAS, HL).
Key concepts covered by G.TR.2
- triangle congruence
- SSS
- SAS
- ASA
- AAS
- HL
- proofs
- algebraic methods
- coordinate methods
- slope formula
- distance formula
- geometric constructions
- congruent segments
- congruent angles
- perpendicular lines
How to study and practice SOL G.TR.2
Start with a quick diagnostic to see whether G.TR.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 Triangles
Frequently asked questions about SOL G.TR.2
What is Virginia SOL G.TR.2?
SOL G.TR.2 is a Geometry Standard of Learning in the Triangles strand. It expects students to prove and justify triangle congruence using direct and indirect proofs.
What skills does SOL G.TR.2 cover?
SOL G.TR.2 is assessed on 4 skills: use definitions, postulates, and theorems (SSS, SAS, ASA, AAS, HL) to prove and justify two triangles are congruent; use algebraic methods to prove that two triangles are congruent; use coordinate methods, such as the slope formula and the distance formula, to prove two triangles are congruent; given a triangle, use congruent segment, congruent angle, and/or perpendicular line constructions to create a congruent triangle (SSS, SAS, ASA, AAS, HL).
What strand of Geometry is SOL G.TR.2 in?
SOL G.TR.2 belongs to the Triangles reporting strand of the Geometry Virginia Standards of Learning.
How do I study and practice for SOL G.TR.2?
Start with a diagnostic to see whether G.TR.2 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.