Geometry · Reasoning, Lines and Transformations
Virginia SOL G.RLT.2
Virginia SOL G.RLT.2 is part of the Reasoning, Lines and Transformations strand in Geometry (Math). Under this Standards of Learning objective, students analyze and prove relationships of parallel lines cut by a transversal. Below is what G.RLT.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice G.RLT.2 for the Virginia SOL test.
What SOL G.RLT.2 means
Analyze and prove relationships of parallel lines cut by a transversal.
Practice Geometry SOL questions
Free Geometry questions from official Virginia Department of Education released SOL tests — good practice while you work on G.RLT.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Lines BA and CD are intersected by a transversal, forming four angles labeled 1 through 4 at the top intersection and four angles labeled 5 through 8 at the bottom intersection. BA is parallel to CD if which condition is true?
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Answer: H — m∠1 + m∠2 = 90
2. In triangle XYZ, the measure of ∠YZV is 40° and the measure of ∠XYZ is 65°. Which of these angles must measure 40° in order for VR to be parallel to YZ?
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Answer: B — ∠ZVR
3. Lines l and m contain the points shown below: Line l passes through (−3, 3) and (6, 0). Line m passes through (−5, 1). Which of the following points must lie on line m in order for lines l and m to be parallel?
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Answer: H — (1, −1)
4. Segment AB is horizontal. Point P lies above AB. Which point lies on the line through P perpendicular to AB?
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Answer: A — Q
Skills you’ll practice for G.RLT.2
- Prove and justify angle pair relationships formed by two parallel lines and a transversal, including corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles.
- Prove two or more lines are parallel given angle measurements expressed numerically or algebraically.
- Solve problems using the relationships between pairs of angles formed by the intersection of two parallel lines and a transversal.
Key concepts covered by G.RLT.2
- parallel lines
- transversal
- corresponding angles
- alternate interior angles
- alternate exterior angles
- same-side interior angles
- same-side exterior angles
- angle relationships
- prove parallel lines
- angle measurements
- algebraic methods
- solve problems
How to study and practice SOL G.RLT.2
Start with a quick diagnostic to see whether G.RLT.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 Reasoning, Lines and Transformations
Frequently asked questions about SOL G.RLT.2
What is Virginia SOL G.RLT.2?
SOL G.RLT.2 is a Geometry Standard of Learning in the Reasoning, Lines and Transformations strand. It expects students to analyze and prove relationships of parallel lines cut by a transversal.
What skills does SOL G.RLT.2 cover?
SOL G.RLT.2 is assessed on 3 skills: prove and justify angle pair relationships formed by two parallel lines and a transversal, including corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles; prove two or more lines are parallel given angle measurements expressed numerically or algebraically; solve problems using the relationships between pairs of angles formed by the intersection of two parallel lines and a transversal.
What strand of Geometry is SOL G.RLT.2 in?
SOL G.RLT.2 belongs to the Reasoning, Lines and Transformations reporting strand of the Geometry Virginia Standards of Learning.
How do I study and practice for SOL G.RLT.2?
Start with a diagnostic to see whether G.RLT.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.