Grade 8 Math · Measurement and Geometry
Virginia SOL 8.MG.1
Virginia SOL 8.MG.1 is part of the Measurement and Geometry strand in Grade 8 Math (Math). Under this Standards of Learning objective, students use relationships among vertical, adjacent, supplementary, and complementary angles to determine unknown angle measures. Below is what 8.MG.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.MG.1 for the Virginia SOL test.
What SOL 8.MG.1 means
Use relationships among vertical, adjacent, supplementary, and complementary angles to determine unknown angle measures.
Practice Grade 8 Math SOL questions
Free Grade 8 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 8.MG.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. At a video rental shop, 5 movies can be rented for $6.99. Each additional movie costs $1.99. What is the total cost to rent 8 movies?
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Answer: F — $12.96
2. What is the value of y² + 12/5 when y = 5?
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Answer: C — 18
3. The design consists of several overlapping polygons. The shaded region at the center has seven sides. Which term identifies this shaded figure?
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Answer: D — Decagon
4. In a flower garden, points A, B, C, D, and E form two intersecting straight lines: A–E and C–D. Sections ABC and EBD contain roses. If ∠ABC measures 38°, what is the measure of ∠EBD?
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Answer: F — 38°
Skills you’ll practice for 8.MG.1
- Identify and describe relationships between pairs of angles that are vertical, adjacent, supplementary, or complementary.
- Use relationships among supplementary, complementary, vertical, and adjacent angles to solve problems involving unknown angle measures.
Key concepts covered by 8.MG.1
- vertical angles
- adjacent angles
- supplementary angles
- complementary angles
- angle relationships
- angle measures
- problem solving
How to study and practice SOL 8.MG.1
Start with a quick diagnostic to see whether 8.MG.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 Grade 8 Math standards in Measurement and Geometry
- 8.MG.2 — Determine surface area of square-based pyramids and volume of cones and square-based pyramids.
- 8.MG.3 — Apply translations and reflections to polygons in the coordinate plane.
- 8.MG.4 — Apply the Pythagorean Theorem to solve problems involving right triangles.
- 8.MG.5 — Solve area and perimeter problems involving composite plane figures.
Frequently asked questions about SOL 8.MG.1
What is Virginia SOL 8.MG.1?
SOL 8.MG.1 is a Grade 8 Math Standard of Learning in the Measurement and Geometry strand. It expects students to use relationships among vertical, adjacent, supplementary, and complementary angles to determine unknown angle measures.
What skills does SOL 8.MG.1 cover?
SOL 8.MG.1 is assessed on 2 skills: identify and describe relationships between pairs of angles that are vertical, adjacent, supplementary, or complementary; use relationships among supplementary, complementary, vertical, and adjacent angles to solve problems involving unknown angle measures.
What strand of Grade 8 Math is SOL 8.MG.1 in?
SOL 8.MG.1 belongs to the Measurement and Geometry reporting strand of the Grade 8 Math Virginia Standards of Learning.
How do I study and practice for SOL 8.MG.1?
Start with a diagnostic to see whether 8.MG.1 is already solid, then work the 2 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.