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Unit 5
Geometry: Lines & Angles
Term
Holt Ref. Pages: 146-205
Holt Page
Reference
Parallel lines
Definition/Description/Example
Coplanar and do not intersect
146
Intersect at 90o angles.
Perpendicular lines
146
Not coplanar, not parallel and do not intersect
Skew lines
146
Planes that do not intersect.
Parallel planes
146
Line that intersects two coplanar lines at different points.
Transversal
147
Helpful Hint: Determining a
Transversal
147
To determine which
line is a transversal
for a given angle,
locate the line that
connects two
vertices.
Unit 5 (Continued)
Geometry: Lines & Angles
Term
Holt Ref. Pages: 146-205
Holt Page
Reference
Corresponding Angles
147
Definition/Description/Example
On same side of
transversal and
same side of
paired lines.
Non-adjacent. On
opposite sides of the
transversal. Between
the paired lines.
Alternate Interior Angles
147
Alternate Exterior Angles
147
Same-side Interior Angles
(Consecutive)
Corresponding Angles
Postulate
(Converse)
147
155
(162)
On opposite sides
of the transversal
and outside of the
paired lined
On same side of
the transversal
and between
the paired lines.
If two parallel lines are cut by a transversal, then the pairs
of corresponding angles are congruent.
(If two lines are cut by a transversal, so that a pair of
corresponding angles are congruent, then the two lines
are parallel.)
Unit 3 (Continued)
Geometry Foundations: Angles
Holt Ref. Pages: 20-21, 28-30, 110-112
Holt Page
Reference
Definition/Description/Example
156
If two parallel lines are cut by a transversal, then the pairs
of alternate interior angles are congruent.
(Converse)
163
If two coplanar lines are cut by a transversal, so that a
pair of alternate interior angles are congruent, then the
two lines are parallel.
Alternate Exterior Angles
Theorem
156
Theorem/Postulate/Defn.
Alternate Interior Angles
Theorem
(Converse)
Same-side Interior Angles
Theorem (Consecutive
Angles)
(Converse)
163
If two parallel lines are cut by a transversal, then the two
pairs of alternate exterior angles are congruent.
If two coplanar lines are cut by a transversal, so that a
pair of alternate exterior angles are congruent, then the
two lines are parallel.
156
If two parallel lines are cut by a transversal, then the two
pairs of same-side (consecutive) interior angles are
supplementary.
163
If two coplanar lines are cut by a transversal, so that a
pair of same-side (consecutive) interior angles are
supplementary, then the two lines are parallel.
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