G: Geometry

Geometry

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Geometry covers the foundational properties of shapes, angles, and reasoning: triangles, quadrilaterals, circles, and the broader geometry foundations that connect them. Transformations and three-dimensional solids extend the work into rigid motion and spatial reasoning. Proof and congruence are central throughout, with triangles and circles each demanding precise argument.

G.CICirclesG.GFGeometry FoundationsG.QPQuadrilaterals & Other PolygonsG.TTrianglesG.TSTransformations & Three-Dimensional Solids
Example Problems
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
Which of the following points is closer to the origin?

or
A spinner lands on red 40% of the time. Let be the number of spins until the spinner first lands on red. Assume spins are independent.

Find the probability that the first red occurs on the
2nd spin.

Round your answer to the
nearest hundredth.
Find the following trigonometric value:

Express your answer exactly.
A hexagonal pyramid has a volume of and a height of .
What is the area of the base of the pyramid?
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