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# Geometry Topics and Exercise Examples

RyanBornPowerScore
PowerScore StaffJoined: 04/27/2016Posts:

**490**Straight from ETS, maker of the GRE, here are the topics to know with example
exercises from POWERPREP,
the official practice tests.**NOTE:** Area, perimeter, and interior angles are key concepts for Polygons, including triangles and quadrilaterals. Surface area and volume are key for 3-D figures.

Sources:
Official GRE Math Review [PDF} and
Official Introduction to the Quantitative Reasoning Measure.

**Lines and Angles**- Acute, Obtuse, and Right
- Supplementary and Vertical
- Parallel and Perpendicular
*Example Problems*

**Polygons (other than Triangles and Quadrilaterals)**- Pentagons, Hexagons, and Octagons
*Example Problems*

**Triangles**- Equilateral, Isosceles, and Right
- Similar and Congruent
- The Pythagorean Theorem and Pythagorean Triples
*Example Problems*- Easy — The length of each side of equilateral triangle T…
- Medium — Quantity A: Area of ΔABD…
- Hard — H is the midpoint of IG…

**Quadrilaterals**- Squares and Rectangles
- Rhombuses, Parallelograms, and Trapezoids
*Example Problems*

**Circles**- Area and Circumference
- Arcs, Sectors, and Central Angles
- Chords and Tangents
- Inscribed and Circumscribed
*Example Problems*

**3-D Figures**- Cubes, Rectangular Solids, and (infrequently) other Prisms
- Right Circular Cylinders
*Example Problems*

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