### Geometry

NC.7.G.1 Solve problems involving scale drawings of geometric figures by:
• Building an understanding that angle measures remain the same and side lengths are proportional.
• Using a scale factor to compute actual lengths and areas from a scale drawing.
• Creating a scale drawing.

Draw, construct, and describe geometrical figures and describe the relationships between them.
NC.7.G.2 Understand the characteristics of angles and side lengths that create a unique triangle, more than one triangle or no triangle. Build triangles from three measures of angles and/or sides.

Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.
NC.7.G.4 Understand area and circumference of a circle.
• Understand the relationships between the radius, diameter, circumference, and area.
• Apply the formulas for area and circumference of a circle to solve problems.

Draw, construct, and describe geometrical figures and describe the relationships between them.
NC.7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.

Draw, construct, and describe geometrical figures and describe the relationships between them.
NC.7.G.6 Solve real-world and mathematical problems involving:
• Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
• Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.