Geometry · Triangles

Virginia SOL G.TR.3

Virginia SOL G.TR.3 is part of the Triangles strand in Geometry (Math). Under this Standards of Learning objective, students prove and justify triangle similarity and solve related problems. Below is what G.TR.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice G.TR.3 for the Virginia SOL test.

Practice G.TR.3 All Geometry standards

What SOL G.TR.3 means

Prove and justify triangle similarity 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.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. Figure ABCDEF is a regular hexagon. Point Q lies at the center of the hexagon. What is the measure of ∠CDQ?
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Answer: B — 60°
2. In pentagon ABCDE, m∠E = m∠C and m∠D = m∠B. The measures of ∠B and ∠C are given as 100° and 105°. What is the measure of ∠A?
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Answer: J — 130°
3. Three adjacent angles around point B measure (19x − 15)°, (26x + 20)°, and (9x + 25)°. What is the measure of ∠ABD?
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Answer: A — 150°
4. Triangle ABC is circumscribed about circle O. Points P and Q are points of tangency. BP = 3 and CQ = 5. What is the measure of BC?
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Answer: J — 8

→ Take the full free Geometry SOL practice test

Skills you’ll practice for G.TR.3

Use definitions, postulates, and theorems (SAS, SSS, AA) to prove and justify that triangles are similar.
Use algebraic methods to prove that triangles are similar.
Use coordinate methods, such as the slope formula and the distance formula, to prove two triangles are similar.
Describe a sequence of transformations that can be used to verify similarity of triangles located in the same plane.
Solve problems, including those in context, involving attributes of similar triangles.

Key concepts covered by G.TR.3

triangle similarity
SAS
SSS
AA
proofs
algebraic methods
coordinate methods
slope formula
distance formula
transformations
verification
similar triangles
problem-solving
contextual problems

How to study and practice SOL G.TR.3

Start with a quick diagnostic to see whether G.TR.3 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.

→ Take the free Geometry SOL practice test

G.TR.1 — Determine relationships between angles and sides in triangles and solve related problems.
G.TR.2 — Prove and justify triangle congruence using direct and indirect proofs.
G.TR.4 — Model and solve problems involving right triangle trigonometry and the Pythagorean Theorem.

Frequently asked questions about SOL G.TR.3

What is Virginia SOL G.TR.3?

SOL G.TR.3 is a Geometry Standard of Learning in the Triangles strand. It expects students to prove and justify triangle similarity and solve related problems.

What skills does SOL G.TR.3 cover?

SOL G.TR.3 is assessed on 5 skills: use definitions, postulates, and theorems (SAS, SSS, AA) to prove and justify that triangles are similar; use algebraic methods to prove that triangles are similar; use coordinate methods, such as the slope formula and the distance formula, to prove two triangles are similar; describe a sequence of transformations that can be used to verify similarity of triangles located in the same plane; solve problems, including those in context, involving attributes of similar triangles.

What strand of Geometry is SOL G.TR.3 in?

SOL G.TR.3 belongs to the Triangles reporting strand of the Geometry Virginia Standards of Learning.

How do I study and practice for SOL G.TR.3?

Start with a diagnostic to see whether G.TR.3 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.