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Topic Review: Geometry

Introduction

We've just finished the chapter on Geometry. Let's do a review to ensure we have mastered each topic.

Geometry

In this chapter we covered the following topics:

  •  Angle relationships 
  •  Circumference of a circle 
  •  Area of a circle 
  •  Cross sections of prisms and pyramids 
  •  Volume of prisms 
  •  Surface area of right prisms 
  •  Surface area of pyramids 
  •  Surface area of cylinders 

Outcomes

7.G.A.2

Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

7.G.A.3

Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

7.G.B.4

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

7.G.B.5

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

7.G.B.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

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