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S. McMurtrie
NAME _____________________________
The Unit Organizer
4 BIGGER PICTURE
DATE ______________________________
Geometry
2
LAST UNIT/Experience
Reasoning and Proof
8
UNIT SCHEDULE
1
CURRENT UNIT
Chapter 3: Parallel and Perpendicular Lines
3
NEXT UNIT/Experience
Congruent Triangles
5 UNIT MAP
3.1 Homework
G.2.2.1.1
3.2 Homework
G.2.2.1.2
3.3 Homework
3.1 Identify
Pairs of Lines
and Angles
M11.B.1.1.1; M11.C.2.1.2
G.2.2.1.2; G.1.3.2.1
Pages 144-213
Quiz Quiz 3.1-3.3
3.4 Homework
G.2.1.2.2; G.2.1.2.3; G.2.1.3.1
3.5 Homework
G.2.1.3.1
3.6 Homework
G.2.1.2.2; G.1.3.2.1
Rev Review Worksheet
7
3.2 Use
Parallel
Lines and
Transversals
3.5 Write and Graph
Equations of Lines
M11.C.2.1.2: M11.D.2.1.2; M11.D.2.1.3;
M11.D.3.2.1; M11.D.3.2.2; M11.D.3.2.3
3.3 Prove
Lines are
Parallel
3.4 Find and Use
Slopes of Lines
M11.D.3.1.1; M11.D.3.2.1;
M11.D.3.2.2; M11.D.3.2.3
What angle pairs are formed by transversals? (2.9)
How are corresponding angles and alternate interior angles related for two parallel lines and a
transversal? (2.9)
How do you prove lines parallel? (2.9)
How do you find the slope of a line given the coordinates of two points on the line? (2.8)
How do you write the equation of a line? (2.8)
How do you find the distance between a point and a line? (2.8)
(13.1.11B)
cause/effect
examples
steps
6
UNIT
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
Test Chapter 3 Test
3.6 Prove Theorems
about Perpendicular
Lines
Finding angle measures formed from
parallel and perpendicular lines.
McMurtrie
NAME S.
_____________________________
The Unit Organizer
Chapter 3 – Parallel and Perpendicular Lines
DATE ______________________________
9 EXPANDED UNIT MAP
3.1 Identify
Pairs of Lines
and Angles
Parallel lines – coplanar lines that
do not intersect
Skew lines – noncoplanar lines
that do not intersect
Parallel planes – two planes that
do not intersect
Parallel Postulate:
If there is a line and a point not
on the line, then there is exactly
one line through the point parallel
to the given line.
Perpendicular Postulate:
If there is a line and a point not
on the line, then there is exactly
one line through the point
perpendicular to the given line.
Transversal – a line that intersects
two or more coplanar lines
Corresponding angles –
corresponding positions relative to
the transversal
Alternate interior angles – lie
between the two lines on opposite
sides of the transversal
Alternate exterior angles – lie
outside of the two lines on opposite
sides of the transversal
Consecutive interior (same-side
interior) angles – lie between the
two lines and on the same side of
the transversal
NEW
UNIT
SELF-TEST
QUESTIONS
10
3.2 Use
Parallel Lines
and
Transversals
Finding angle measures
formed from parallel and
perpendicular lines.
Pages 144-213
3.3 Prove Lines
are Parallel
If two parallel lines are cut
by a transversal, then:
Ways to prove lines parallel:
Corresponding angles are
congruent
Alternate-interior angles
are congruent
Alternate-exterior angles
are congruent
Same-side (consecutive)
interior angles are
congruent
3.6 Prove
Theorems about
Perpendicular
Lines
Show corresponding angles are
congruent
Show alternate interior angles
are congruent
Show alternate exterior angles
are congruent
Show same-side (consecutive)
interior angles are congruent
Show they are both parallel to
a third line
Show they are both
perpendicular to a third line
3.4 Find and
Use Slopes of
Lines
3.5 Write and
Graph
Equations of
Lines
Slope intercept form –
y=mx+b
Standard form – Ax+By=C
Slope – the ratio of rise over
run
Parallel lines – have the
same slope
Perpendicular lines – their
slopes are negative
reciprocals (their product is 1)
Why would you want to know if two lines are parallel?
How can you use perpendicular lines to prove that lines are parallel?
How can you use the equation of a line to prove that lines are parallel or perpendicular?
If two lines intersect to form
a linear pair of congruent
angels, then the lines are
perpendicular
If two lines are
perpendicular, then they
intersect to form four right
angles
If two sides of two adjacent
acute angles are
perpendicular, then the
angles are complementary.
If a transversal is
perpendicular to one of two
parallel lines, then it is
perpendicular to the other.
In a plane, if two lines are
perpendicular to the same
line, then they are parallel to
each other