G: Geometry

Geometry

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Properties and theorems for 2D and 3D figures, proofs about lines and angles. Translations, reflections, and rotations on the coordinate plane with congruence and similarity classification. Perimeter, area, surface area, and volume of composite figures.

G.DFTwo- and Three-Dimensional FiguresG.PCPolygons and CirclesG.RLTReasoning, Lines and TransformationsG.TRTriangles
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?
A circle has a radius of units and is centered at .
Write the equation of this circle.
A sequence of transformations is described below.
1. A reflection over a line

2. A dilation about the point P
What must be preserved under this sequence of transformations:
angle measures and/or segment lengths?
A ‑foot ladder leans against a vertical wall. The base of the ladder is feet from the wall.
How high up the wall does the ladder reach?
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?
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