InkLoop/NYS Standards/NY-G.MG.3NY-G.MG.3
GeometryModeling with Geometry60 target questions
Apply geometric methods to solve design problems (e.g. designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Sample Practice Questions (3)
1
A manufacturer is choosing between two materials for a spherical buoy. Material A has a density of lb/ft³ and Material B has a density of lb/ft³. The buoy must have a diameter of feet and must weigh less than lbs to remain buoyant in specific conditions. Use the table below to determine which materials are viable.
| Material | Density (lb/ft³) | Max Weight Limit |
|---|---|---|
| Material A | 15 | 450 lbs |
| Material B | 25 | 450 lbs |
Open response · diagram · tableSee Answer + Explanation →
2
A structural engineer is designing a solid steel beam for a bridge. The beam is a rectangular prism with dimensions m by m by m. If the density of the steel is kg/m, what is the total mass of the beam in kilograms?
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
An interior designer is calculating the cost to install hardwood flooring in a room with the L-shaped floor plan shown below. The flooring costs \$12 per square foot. What is the total cost to floor the entire room?
A\$1,200
B\$300
C\$1,500
D\$1,800
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.→