Grade 8 Math · Measurement and Geometry
Virginia SOL 8.MG.3
Virginia SOL 8.MG.3 is part of the Measurement and Geometry strand in Grade 8 Math (Math). Under this Standards of Learning objective, students apply translations and reflections to polygons in the coordinate plane. Below is what 8.MG.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.MG.3 for the Virginia SOL test.
What SOL 8.MG.3 means
Apply translations and reflections to polygons in the coordinate plane.
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.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A wheel rim has a diameter of 15 inches. Which value is closest to the inside circumference of the tire that fits on the rim?
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Answer: F — 47.1 in.
2. A quadrilateral has four interior angles labeled 1, 2, 3, and 4. Angle 4 appears acute and closest in measure to 48°. Which angle is closest to 48°?
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Answer: D — ∠4
3. A grid is placed over a cross-sectional drawing of a molding. Each square represents 1 square centimeter. The shaded region covers 108 full grid squares. What is the area of the cross section?
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Answer: H — 108
4. A cylindrical fire extinguisher canister has a radius of 2.5 inches and a height of 13.5 inches. Which is closest to the number of cubic inches it can hold?
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Answer: B — 265
Skills you’ll practice for 8.MG.3
- Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon after vertical, horizontal, or combined translation.
- Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon after reflection over the x- or y-axis.
- Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon after translation and reflection (in any order).
- Sketch the image of a polygon after vertical, horizontal, or combined translation.
- Sketch the image of a polygon after reflection over the x- or y-axis.
- Sketch the image of a polygon after translation and reflection (in any order).
- Identify and describe transformations in context (e.g., tiling, fabric, wallpaper designs, art).
Key concepts covered by 8.MG.3
- translation
- coordinate plane
- preimage
- image coordinates
- polygon
- reflection
- x-axis
- y-axis
- sketch
- transformations
- context
- tiling
- fabric
- wallpaper
- art
How to study and practice SOL 8.MG.3
Start with a quick diagnostic to see whether 8.MG.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.
Related Grade 8 Math standards in Measurement and Geometry
- 8.MG.1 — Use relationships among vertical, adjacent, supplementary, and complementary angles to determine unknown angle measures.
- 8.MG.2 — Determine surface area of square-based pyramids and volume of cones and square-based pyramids.
- 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.3
What is Virginia SOL 8.MG.3?
SOL 8.MG.3 is a Grade 8 Math Standard of Learning in the Measurement and Geometry strand. It expects students to apply translations and reflections to polygons in the coordinate plane.
What skills does SOL 8.MG.3 cover?
SOL 8.MG.3 is assessed on 7 skills: given a preimage in the coordinate plane, identify the coordinates of the image of a polygon after vertical, horizontal, or combined translation; given a preimage in the coordinate plane, identify the coordinates of the image of a polygon after reflection over the x- or y-axis; given a preimage in the coordinate plane, identify the coordinates of the image of a polygon after translation and reflection (in any order); sketch the image of a polygon after vertical, horizontal, or combined translation; sketch the image of a polygon after reflection over the x- or y-axis; sketch the image of a polygon after translation and reflection (in any order); identify and describe transformations in context (e.g., tiling, fabric, wallpaper designs, art).
What strand of Grade 8 Math is SOL 8.MG.3 in?
SOL 8.MG.3 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.3?
Start with a diagnostic to see whether 8.MG.3 is already solid, then work the 7 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.