InkLoop/NYS Standards/NY-G.GMD.1NY-G.GMD.1
GeometryGeometric Measurement and Dimension60 target questions
Give an informal argument for the formulas for the circumference of a circle area of a circle volume of a cylinder pyramid and cone. Use dissection arguments Cavalieri's principle and informal limit arguments.
Sample Practice Questions (3)
1
A cube can be dissected into three congruent pyramids that meet at a single vertex. If the side length of the cube is , what is the volume of one of these pyramids?
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Multiple choice · diagramSee Answer + Explanation →
2
A circle with radius is divided into many equal sectors. These sectors are rearranged to form a shape that approximates a parallelogram. If the height of this parallelogram is approximately , what is the approximate length of its base in terms of ?
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B
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Multiple choice · diagramSee Answer + Explanation →
3
A cube can be dissected into three identical pyramids that meet at a common vertex (a corner of the cube). If the side length of the cube is , which expression represents the volume of one of these pyramids?
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D
Multiple choice · diagramSee Answer + Explanation →
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NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→