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Geometry /Trigonometry 2
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Unit 3 Study Guide
Section 3.1 Parallel Lines Definitions
 Define parallel lines, parallel planes, skew lines, and transversals.
 Identify alternate interior, same-side interior, and corresponding angles.
Section 3.2 Properties of Parallel Lines
 Identify congruency, supplementary, and perpendicular relationships that hold for
parallel lines cut by a transversal (alternate-interior angles are congruent, sameside interior angles are supplementary, corresponding angles are congruent).
 Apply prior knowledge of algebra in order to solve for angle measures formed by
parallel lines.
Section 3.3 Proving Lines Parallel
 Prove two lines are parallel by showing that parallel line angle relationships hold
(alternate-interior angles are congruent, same-side interior angles are
supplementary, corresponding angles are congruent).
 Prove two lines are parallel by showing that the two lines are both perpendicular
to a third line.
 Prove two lines are parallel by showing that the two lines are both parallel to a
third line.
 Determine the number of lines through a point that are perpendicular or parallel to
a line.
Section 3.4 Angles of a Triangle
 Define and identify the seven types of triangles and their basic properties.
 Define and identify remote interior and exterior angles of a triangle.
 Calculate the measures of interior and exterior angles of triangles and figures
containing triangles.
Section 3.5 Angles of a Polygon
 Define and identify the convex, concave, regular, and irregular polygons
including triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons,
nonagons, and decagons.
 Define and identify the interior angles of a polygon.
 Calculate the measures of the sum of the interior and exterior angles of polygons.
 Identify the number and draw diagonals of polygons.