G: Geometry (G)

Geometry (G)

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Geometry covers two-dimensional shapes and polygons, three-dimensional figures, circles, and right triangle trigonometry. Reasoning and logic, including formal proofs, run throughout all four topic areas. The course ties together Euclidean properties, coordinate geometry, and trigonometric ratios in applied problem-solving contexts.

G.2DGeometry: Two-Dimensional Shapes (G.2D)G.3DGeometry: Three-Dimensional Shapes (G.3D)G.CGeometry: Circles (G.C)G.RLGeometry: Reasoning & Logic (G.RL)G.RTGeometry: Right Triangle Trigonometry (G.RT)
Example Problems
Polygon H is a scaled copy of Polygon F using a scale factor of .
Polygon H's area is what fraction of Polygon F's area?
Polygon E is a scaled copy of Polygon F using a scale factor of .
Polygon E's
area is what fraction of Polygon F's area?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
A rectangle has four right angles.
A parallelogram has two pairs of parallel sides.
Is every rectangle also a parallelogram?
A motorboat heads due east at relative to still water, while the river it is on flows due south at .

What is the boat's actual speed relative to the riverbank?
Round your answer to the nearest tenth. You can round intermediate values to the nearest hundredth.
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