Download Unit: Parallel and Perpendicular Lines Course

Unit: Parallel and Perpendicular Lines
Page 1 of 3
Key Learning:
Course: Geometry
Parallel and perpendicular lines and planes have proven properties based upon their
slopes.
Properties of Parallel Lines
Proving Lines Parallel
Parallel and Perpendicular
Lines
How do we identify angles
formed by two lines and a
transversal?
How do we use angles
formed by two lines and a
transversal to prove the two
lines are parallel?
Describe the relationship that
exists between parallel and
perpendicular lines.
Vocabulary
Lesson Essential Questions
Anchors
Concept
Unit Essential Question: What relationships exist between the angles formed by parallel lines and a
transversal?
How do we prove and use
the properties of parallel
lines?
How do we write a flow
proof?
How do we write a twocolumn proof?
Transversal
Alternate interior angles
Same-side interior angles
Corresponding angles
Two-column proof
Alternate exterior angles
Same-side exterior angles
Corresponding angles
postulate
Alternate interior angles
theorem
Same-side interior angles
theorem
Flow proof
Converse of corresponding
angles postulate
Converse of alternate
interior angles postulate
Converse of same-side
interior angles postulate
Converse of alternate
exterior angles theorem
Converse of same-side
exterior angles theorem
How do we use the
relationship between parallel
and perpendicular lines to
model and solve problems?
Unit: Parallel and Perpendicular Lines
Page 2 of 3
Key Learning:
Course: Geometry
Parallel and perpendicular lines and planes have proven properties based upon their
slopes.
Unit Essential Question: What relationships exist between the angles formed by parallel lines and a
transversal?
Concept
Parallel Lines and the
Triangle Angle-Sum
Theorem
The Polygon Angle-Sum
Theorems
Lines in the Coordinate Plane
How do we use the
Triangle Angle-Sum
Theorem to find the
measures of angles in
triangles?
How do we classify and
name polygons?
How do we graph lines of
equations in slope-intercept
form?
Lesson Essential Questions
Anchors
How do we classify
triangles by their sides?
How do we classify
triangles by their angles?
How do we use the
exterior angles of
triangles to find
measures of interior
angles?
How do we find the sum of
the interior angles of a
polygon?
How do we graph lines of
equations in standard form?
How do we use the Polygon How do we transform
Exterior Angle-Sum
equations between slopeTheorem to find measures
intercept and standard forms?
of angles?
How do we write the equation
of a line given slope and yintercept?
How do we write the equation
of a line given two points?
Vocabulary
How do we write the equations
of horizontal and vertical lines?
Acute triangle
Right triangle
Obtuse triangle
Equiangular triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
Exterior angle of a
polygon
Remote interior angles
Polygon
Convex polygon
Concave polygon
Equilateral polygon
Equiangular polygon
Regular polygon
Slope-intercept form of a linear
equation
Standard form of a linear
equation
Point-slope form of a linear
equation
Unit: Parallel and Perpendicular Lines
Page 3 of 3
Key Learning:
Course: Geometry
Parallel and perpendicular lines and planes have proven properties based upon their
slopes.
Slopes of Parallel and
Perpendicular Lines
Constructing Parallel and
Perpendicular Lines
How do we use slope to
determine if two lines are
parallel?
How do we construct parallel
lines using a compass and a
straightedge?
How do we write the
equation of a line parallel to
a given line?
How do we construct special
quadrilaterals using a
compass and a straightedge?
How do we use slope to
determine if two lines are
perpendicular?
How do we construct
perpendicular lines using a
compass and a straightedge?
Vocabulary
Lesson Essential Questions
Anchors
Concept
Unit Essential Question: What relationships exist between the angles formed by parallel lines and a
transversal?
How do we write the
equation of a line
perpendicular to a given
line?