Grade 7 Math · Measurement and Geometry
Virginia SOL 7.MG.2
Virginia SOL 7.MG.2 is part of the Measurement and Geometry strand in Grade 7 Math (Math). Under this Standards of Learning objective, students solve problems and justify relationships of similarity using proportional reasoning. Below is what 7.MG.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 7.MG.2 for the Virginia SOL test.
What SOL 7.MG.2 means
Solve problems and justify relationships of similarity using proportional reasoning.
Practice Grade 7 Math SOL questions
Free Grade 7 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 7.MG.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A powdered drink mix is stored in a cylindrical container with a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?
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Answer: D — 1,583 cm³
2. Bob wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a rectangular window that measures 4 feet by 5 feet. If Bob does not paint the window, what is the total area he will paint?
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Answer: G — 104 square feet
3. Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results: $1 bill: 28 times $5 bill: 14 times $10 bill: 56 times $20 bill: 2 times Based on the data, which bill has an experimental probability of 1/5 of being drawn next?
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Answer: A — $1
4. The number of kites sold each year during a school fundraiser is listed in a table. When the data are ordered, the middle value is 680. What is the median number of kites sold per year?
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Answer: A — 680
Skills you’ll practice for 7.MG.2
- Identify corresponding congruent angles of similar quadrilaterals and triangles using geometric markings.
- Identify corresponding sides of similar quadrilaterals and triangles.
- Write similarity statements using symbols for two similar quadrilaterals or triangles.
- Write proportions to express relationships between lengths of corresponding sides of similar quadrilaterals and triangles.
- Recognize and justify if two quadrilaterals or triangles are similar using ratios of corresponding side lengths.
- Solve a proportion to determine a missing side length of similar quadrilaterals or triangles.
- Given angle measures in a quadrilateral or triangle, determine unknown angle measures in a similar quadrilateral or triangle.
- Apply proportional reasoning to solve problems in context including scale drawings.
Key concepts covered by 7.MG.2
- similarity
- congruent angles
- quadrilaterals
- triangles
- geometric markings
- corresponding sides
- similarity statements
- symbols
- proportions
- ratios
- proportion
- missing side length
- angle measures
- unknown angles
- proportional reasoning
- scale drawings
- contextual problems
How to study and practice SOL 7.MG.2
Start with a quick diagnostic to see whether 7.MG.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 Grade 7 Math standards in Measurement and Geometry
Frequently asked questions about SOL 7.MG.2
What is Virginia SOL 7.MG.2?
SOL 7.MG.2 is a Grade 7 Math Standard of Learning in the Measurement and Geometry strand. It expects students to solve problems and justify relationships of similarity using proportional reasoning.
What skills does SOL 7.MG.2 cover?
SOL 7.MG.2 is assessed on 8 skills: identify corresponding congruent angles of similar quadrilaterals and triangles using geometric markings; identify corresponding sides of similar quadrilaterals and triangles; write similarity statements using symbols for two similar quadrilaterals or triangles; write proportions to express relationships between lengths of corresponding sides of similar quadrilaterals and triangles; recognize and justify if two quadrilaterals or triangles are similar using ratios of corresponding side lengths; solve a proportion to determine a missing side length of similar quadrilaterals or triangles; given angle measures in a quadrilateral or triangle, determine unknown angle measures in a similar quadrilateral or triangle; apply proportional reasoning to solve problems in context including scale drawings.
What strand of Grade 7 Math is SOL 7.MG.2 in?
SOL 7.MG.2 belongs to the Measurement and Geometry reporting strand of the Grade 7 Math Virginia Standards of Learning.
How do I study and practice for SOL 7.MG.2?
Start with a diagnostic to see whether 7.MG.2 is already solid, then work the 8 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.