Grade 7 Math · Measurement and Geometry
Virginia SOL 7.MG.4
Virginia SOL 7.MG.4 is part of the Measurement and Geometry strand in Grade 7 Math (Math). Under this Standards of Learning objective, students apply dilations of polygons in the coordinate plane. Below is what 7.MG.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 7.MG.4 for the Virginia SOL test.
What SOL 7.MG.4 means
Apply dilations of polygons in the coordinate plane.
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.4 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A box-and-whisker plot of video rentals shows a minimum of 10, a lower quartile of 35, a median of 60, an upper quartile of 65, and a maximum of 90. What is the lower quartile?
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Answer: H — 35
2. The rosebushes in Pattie’s Plant Store are 20% yellow, 50% red, and 30% pink. If George selects one rosebush at random, what is the probability it will produce yellow blooms?
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Answer: A — 0.20
3. A box-and-whisker plot of dinner prices shows a minimum of $15 and a maximum of $65. What is the range of the prices?
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Answer: H — 50
4. Which scatterplot best represents no significant relationship between people’s heights and the amount of money they spend on food each week?
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Answer: B — Scatterplot with no clear pattern
Skills you’ll practice for 7.MG.4
- Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon that has been dilated with scale factors of 1/2, 1/3, 2, 3, or 4 and center at the origin.
- Sketch the image of a dilation of a polygon with scale factors of 1/2, 1/3, 2, 3, or 4 and center at the origin.
- Identify and describe dilations in context including scale drawings and graphic design.
Key concepts covered by 7.MG.4
- dilation
- coordinate plane
- scale factor
- preimage
- image
- polygon
- sketch
- scale drawings
- graphic design
- context
How to study and practice SOL 7.MG.4
Start with a quick diagnostic to see whether 7.MG.4 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
- 7.MG.1 — Investigate and apply volume and surface area formulas for right cylinders and rectangular prisms.
- 7.MG.2 — Solve problems and justify relationships of similarity using proportional reasoning.
- 7.MG.3 — Compare and contrast quadrilaterals based on properties and determine unknown side lengths and angle measures.
Frequently asked questions about SOL 7.MG.4
What is Virginia SOL 7.MG.4?
SOL 7.MG.4 is a Grade 7 Math Standard of Learning in the Measurement and Geometry strand. It expects students to apply dilations of polygons in the coordinate plane.
What skills does SOL 7.MG.4 cover?
SOL 7.MG.4 is assessed on 3 skills: given a preimage in the coordinate plane, identify the coordinates of the image of a polygon that has been dilated with scale factors of 1/2, 1/3, 2, 3, or 4 and center at the origin; sketch the image of a dilation of a polygon with scale factors of 1/2, 1/3, 2, 3, or 4 and center at the origin; identify and describe dilations in context including scale drawings and graphic design.
What strand of Grade 7 Math is SOL 7.MG.4 in?
SOL 7.MG.4 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.4?
Start with a diagnostic to see whether 7.MG.4 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.